TY - BOOK
TI - Proceedings of the Cornelius Lanczos International Centenary Conference
A3 - Chu, Moody T.
A3 - Brown, J.
A3 - Ellison, D.
A3 - Plemmons, R.
DA - 1994///
PY - 1994///
SP - 644
PB - SIAM
SN - 9780898713398
ER -
TY - JOUR
TI - Symmetric Toeplitz Matrices with Two Prescribed Eigenpairs
AU - Chu, Moody T.
AU - Erbrecht, Melissa A.
T2 - SIAM Journal on Matrix Analysis and Applications
AB - The inverse problem of constructing a real symmetric Toeplitz matrix based on two prescribed eigenpairs is considered. Two new results are obtained. First, it is shown that the dimension of the subspace of Toeplitz matrices with two generically prescribed eigenvectors is independent of the size of the problem, and, in fact, is either two, three, or four, depending upon whether the eigenvectors are symmetric or skew-symmetric and whether n is even or odd. This result is quite notable in that when only one eigenvector is prescribed the dimension is known to be at least $[ ( n + 1 )/2 ]$. Taking into account the prescribed eigenvalues, the authors then show how each unit vector in the null subspace of a certain matrix uniquely determines a Toeplitz matrix that satisfies the prescribed eigenpairs constraint. The cases where two prescribed eigenpairs uniquely determine a Toeplitz matrix are explicitly characterized.
DA - 1994/4//
PY - 1994/4//
DO - 10.1137/s0895479891221757
VL - 15
IS - 2
SP - 623-635
UR - http://dx.doi.org/10.1137/s0895479891221757
ER -
TY - CHAP
TI - A list of matrix flows with applications
T2 - Hamiltonian and Gradient Flows, Algorithms and Control
PY - 1994///
UR - https://bookstore.ams.org/fic-3
ER -
TY - CONF
TI - Parallel solution of Toeplitz and Toeplitz-like linear systems over fields of small positive characteristic
AU - Kaltofen, E.
AU - Pan, V.
A2 - Hong, H.
C2 - 1994///
C3 - Proceedings of the First International Symposium of Parallel Symbolic Computation
DA - 1994///
SP - 225–233
PB - World Scientific Publishing Co
ER -
TY - THES
TI - The Immersed Interface Method — A Numerical Approach for Partial Differential Equations with Interfaces
AU - Li, Zhilin
DA - 1994///
PY - 1994///
M3 - PhD thesis
PB - University of Washington
ER -
TY - CONF
TI - Formation and development of shear bands in granular material
AU - Shearer, Michael
AU - Garaizar, F.X.
AU - Schaeffer, D.G.
AU - Trangenstein, J.
C2 - 1994///
C3 - Transactions of the 11th Army Conference on Applied Mathematics and Computing
DA - 1994///
SP - 15–28
PB - Army Research Office
ER -
TY - CONF
TI - Computational speedup for general nonlinear higher index DAE integrators
AU - Campbell, Stephen L.
AU - Zhong, Y.
T2 - 14th IMACS World congress on computation and applied mathematics
C2 - 1994///
C3 - IMACS '94 : proceedings of the 14th IMACS World congress on computation and applied mathematics
CY - Atlanta, Georgia
DA - 1994///
PY - 1994/7//
SP - 69–73
PB - Georgia Institute of Technology
ER -
TY - CONF
TI - DAE Approximations of PDE Modeled Control Problems
AU - Campbell, Stephen L.
T2 - 2nd IEEE Mediterranean Symposium on New Directions in Control and Automation
C2 - 1994///
C3 - Proceedings of the 2nd IEEE Mediterranean Symposium on New Directions in Control and Automation
CY - Crete, Greece
DA - 1994///
PY - 1994/6/19/
SP - 407–414
ER -
TY - JOUR
TI - Numerical Methods for Unstructured Higher Index DAEs
AU - Campbell, Stephen L.
T2 - Annals of Numerical Mathematics
DA - 1994///
PY - 1994///
VL - 1
SP - 265–278
ER -
TY - JOUR
TI - UNIDIRECTIONAL WAVES ON RINGS - MODELS FOR CHIRAL PREFERENCE OF CIRCUMNUTATING PLANTS
AU - Lubkin, S.
T2 - Bulletin of Mathematical Biology
DA - 1994///
PY - 1994///
DO - 10.1016/s0092-8240(05)80291-5
VL - 56
IS - 5
SP - 795-810
UR - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1994PE77000002&KeyUID=WOS:A1994PE77000002
ER -
TY - JOUR
TI - OSCILLATORY REACTION-DIFFUSION EQUATIONS ON RINGS
AU - Lubkin, S.
AU - Rand, R.
T2 - Journal of Mathematical Biology
DA - 1994///
PY - 1994///
DO - 10.1007/bf00573464
VL - 32
IS - 6
SP - 617-632
UR - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1994NZ38700008&KeyUID=WOS:A1994NZ38700008
KW - OSCILLATORS
KW - BIFURCATIONS
KW - REACTION-DIFFUSION EQUATIONS
KW - SPATIAL HETEROGENEITY
ER -
TY - CONF
TI - Relative perturbation bounds for eigenspaces and singular vector subspaces
AU - Eisenstat, S.C.
AU - Ipsen, I.C.F.
T2 - Fifth SIAM Conference on Applied Linear Algebra
A2 - Lewis, J.G.
C2 - 1994///
C3 - Proceedings of the Fifth SIAM Conference on Applied Linear Algebra
CY - Snowbird, Utah
DA - 1994///
PY - 1994/6/15/
SP - 62–65
PB - SIAM
SN - 9780898713367
ER -
TY - CHAP
TI - On the singular value decomposition of triangular matrices
AU - Chandrasekaran, S.
AU - Ipsen, I.C.F.
T2 - Numerical algebra : proceedings of '92 Shanghai International Numerical Algebra and its Applications Conference
A2 - Er-xiong, Jiang
PY - 1994///
SP - 85–89
PB - China Science and Technology Press
ER -
TY - JOUR
TI - A divide and conquer algorithm for computing singular values
AU - Chandrasekaran, S.
AU - Ipsen, I.C.F.
T2 - Zeitschrift für Angewandte Mathematik und Mechanik
DA - 1994///
PY - 1994///
VL - 74
IS - 6
SP - 532–534
ER -
TY - CONF
TI - High Pressure Vapour Transport of Binary and Ternary Compound Semiconductors
AU - Fiechter, S.
AU - Castleberry, R.H.
AU - Wood, G.
AU - Bachmann, K.J.
AU - Tran, H.T.
AU - Ito, K.
AU - Scroggs, J.S.
T2 - 123rd Annual TMS Meeting
A2 - Schiffman, R.A.
A2 - Andrews, J.B.
C2 - 1994///
C3 - 6th International Symposium on Experimental Methods for Microgravity Materials Science : proceedings of the Sixth International Symposium on Experimental Methods for Microgravity Materials Science
CY - San Francisco, CA
DA - 1994///
PY - 1994/2/28/
SP - 93–100
PB - Minerals, Metals and Materials Society
ER -
TY - CONF
TI - Gasdynamics and Transport in a High-Pressure Reactor Under Microgravity Conditions
AU - Banks, H.T.
AU - Ito, K.
AU - Scroggs, J.S.
AU - Tran, H.T.
AU - Bachmann, K.J.
AU - Castleberry, H.
AU - Fiechter, S.
T2 - 2nd IEEE Mediterranean Symposium on New Directions in Control and Automation (MED '94)
C2 - 1994///
C3 - Proceedings of the 2nd IEEE Mediterranean Symposium on New Directions in Control and Automation (MED '94)
CY - Louis Maleme Beach Hotel, Chania, Crete, Greece
DA - 1994///
PY - 1994/6/19/
SP - 427–433
PB - IEEE Publications
ER -
TY - CONF
TI - RISC-CLP(CF) Constraint Logic Programming over Complex Functions
AU - Hong, Hoon
A2 - Pfenning, Frank
C2 - 1994///
C3 - Logic Programming and Automated Reasoning, 5th International Conference,
LPAR'94, Kiev, Ukraine, July 16-22, 1994, Proceedings
DA - 1994///
DO - 10.1007/3-540-58216-9\_32
VL - 822
SP - 99-113
PB - Springer
UR - https://doi.org/10.1007/3-540-58216-9\_32
ER -
TY - CONF
TI - Parallel Computation of Modular Multivariate Polynominal Resultants
on a Shared Memory Machine
AU - Hong, Hoon
AU - Loidl, Hans-Wolfgang
A2 - Buchberger, Bruno
A2 - Volkert, Jens
C2 - 1994///
C3 - Parallel Processing: CONPAR 94 - VAPP VI, Third Joint International
Conference on Vector and Parallel Processing, Linz, Austria, September
6-8, 1994, Proceedings
DA - 1994///
DO - 10.1007/3-540-58430-7\_29
VL - 854
SP - 325-336
PB - Springer
UR - https://doi.org/10.1007/3-540-58430-7\_29
ER -
TY - JOUR
TI - Safe starting regions by fixed points and tightening
AU - Hong, H.
AU - Stahl, V.
T2 - Computing
DA - 1994/9//
PY - 1994/9//
DO - 10.1007/bf02307383
VL - 53
IS - 3-4
SP - 323-335
UR - http://dx.doi.org/10.1007/bf02307383
KW - NONLINEAR EQUATION SYSTEMS
KW - INTERVAL ARITHMETIC
KW - SAFE STARTING REGIONS
KW - TIGHTENING
ER -
TY - CONF
TI - On a new predictive control strategy: application to a flexible-joint robot
AU - von Wissel, D.
AU - Nikoukhah, R.
AU - Campbell, S.L.
T2 - 1994 33rd IEEE Conference on Decision and Control
AB - It is shown that it is possible to greatly improve the performance of the predictive control strategy proposed by Jankowski and Van Brussel (1992) by using preliminary linear feedback. This is illustrated using the example of a flexible-joint robot path following problem.< >
C2 - 1994///
C3 - Proceedings of 1994 33rd IEEE Conference on Decision and Control
DA - 1994///
DO - 10.1109/cdc.1994.411325
PB - IEEE
SN - 0780319680
UR - http://dx.doi.org/10.1109/cdc.1994.411325
ER -
TY - CONF
TI - Numerically generated path stabilizing controllers. I. Theoretical concerns
AU - Campbell, S.L.
AU - Nikoukhah, R.
AU - von Wissel, D.
T2 - 1994 American Control Conference - ACC '94
AB - A method for the prescribed path control of robotic arms has previously been proposed which utilizes the ability to numerically integrate higher index DAE models quickly. In this paper the authors examine some of the issues involved with this method in order to effectively apply it to a wider class of path control problems.
C2 - 1994///
C3 - Proceedings of 1994 American Control Conference - ACC '94
DA - 1994///
DO - 10.1109/acc.1994.752408
PB - IEEE
SN - 0780317831
UR - http://dx.doi.org/10.1109/acc.1994.752408
ER -
TY - JOUR
TI - Explicit formulae for completions of linear time varying singular systems of differential equations
AU - Campbell, Stephen L.
AU - Rakowski, Marek
T2 - Circuits, Systems, and Signal Processing
DA - 1994/6//
PY - 1994/6//
DO - 10.1007/bf01188105
VL - 13
IS - 2-3
SP - 185-199
J2 - Circuits Systems and Signal Process
LA - en
OP -
SN - 0278-081X 1531-5878
UR - http://dx.doi.org/10.1007/bf01188105
DB - Crossref
ER -
TY - JOUR
TI - The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
AU - LeVeque, Randall J.
AU - Li, Zhilin
T2 - SIAM Journal on Numerical Analysis
AB - The authors develop finite difference methods for elliptic equations of the form \[ \nabla \cdot (\beta (x)\nabla u(x)) + \kappa (x)u(x) = f(x)\] in a region $\Omega $ in one or two space dimensions. It is assumed that $\Omega $ is a simple region (e.g., a rectangle) and that a uniform rectangular grid is used. The situation is studied in which there is an irregular surface $\Gamma $ of codimension 1 contained in $\Omega $ across which $\beta ,\kappa $, and f may be discontinuous, and along which the source f may have a delta function singularity. As a result, derivatives of the solution u may be discontinuous across $\Gamma $. The specification of a jump discontinuity in u itself across $\Gamma $ is allowed. It is shown that it is possible to modify the standard centered difference approximation to maintain second order accuracy on the uniform grid even when $\Gamma $ is not aligned with the grid. This approach is also compared with a discrete delta function approach to handling singular sources, as used in Peskin’s immersed boundary method.
DA - 1994/8//
PY - 1994/8//
DO - 10.1137/0731054
VL - 31
IS - 4
SP - 1019-1044
J2 - SIAM J. Numer. Anal.
LA - en
OP -
SN - 0036-1429 1095-7170
UR - http://dx.doi.org/10.1137/0731054
DB - Crossref
KW - ELLIPTIC EQUATION
KW - FINITE DIFFERENCE METHODS
KW - IRREGULAR DOMAIN
KW - INTERFACE
KW - DISCONTINUOUS COEFFICIENTS
KW - SINGULAR SOURCE TERM
KW - DELTA FUNCTIONS
ER -
TY - JOUR
TI - Unloading near a shear band in granular material
AU - Shearer, Michael
AU - Schaeffer, David G.
T2 - Quarterly of Applied Mathematics
AB - We consider a model for dynamic deformations of granular materials which allows for the localisation of flow and the consequent development of shear bands. We construct solutions, asymptotic in small time, of Riemann initial value problems in one space dimension that include a shear band. An unusual feature of the solutions is that they are not scale invariant
DA - 1994/9/1/
PY - 1994/9/1/
DO - 10.1090/qam/1292207
VL - 52
IS - 3
SP - 579-600
J2 - Quart. Appl. Math.
LA - en
OP -
SN - 0033-569X 1552-4485
UR - http://dx.doi.org/10.1090/qam/1292207
DB - Crossref
ER -
TY - CONF
TI - Synthèse ensembliste d’ondelettes
AU - Pesquet, J.C.
AU - Combettes, P. L.
T2 - Actes de la Conférence Temps-Fréquence, Ondelettes et Multirésolution
C2 - 1994/3/9/
C3 - Actes de la Conférence Temps-Fréquence, Ondelettes et Multirésolution
CY - Lyon, France
DA - 1994/3/9/
PY - 1994/3/9/
SP - 14.1–14.10
ER -
TY - CONF
TI - A fast parallel projection algorithm for set theoretic image recovery
AU - Combettes, P.L.
AU - Puh, H.
T2 - ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing
AB - A new projection algorithm for convex set theoretic image recovery [reconstruction and restoration] is presented. This algorithm comprises all serial and parallel projection methods as particular cases and is straightforwardly implementable on concurrent processors. It proceeds by taking convex combinations of selected projections at each iteration and allows extrapolated relaxations far beyond the range [0,2] used in conventional algorithms. These extrapolated, iteration-dependent relaxations result in very fast convergence. Numerical results are provided which show that the proposed algorithm outperforms existing ones, in particular the popular cyclic method of projections onto convex sets [POCS].< >
C2 - 1994/4/19/
C3 - Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing
CY - Adelaide, Australia
DA - 1994/4/19/
PY - 1994/4/19/
DO - 10.1109/icassp.1994.389385
VL - 5
SP - 473–476
PB - IEEE
SN - 0780317750
UR - http://dx.doi.org/10.1109/icassp.1994.389385
ER -
TY - CONF
TI - Selecting Statistical Information In Set Theoretic Signal Processing
AU - Combettes, P.L.
AU - Chaussalet, T.J.
T2 - IEEE Seventh SP Workshop on Statistical Signal and Array Processing
C2 - 1994/6/26/
C3 - IEEE Seventh SP Workshop on Statistical Signal and Array Processing
CY - Quebec City, Quebec, Canada
DA - 1994/6/26/
PY - 1994/6/26/
DO - 10.1109/ssap.1994.572433
SP - 55–58
PB - IEEE
UR - http://dx.doi.org/10.1109/ssap.1994.572433
ER -
TY - CONF
TI - Set Theoretic Signal Processing
AU - Combettes, P.L.
T2 - IEEE Seventh SP Workshop on Statistical Signal and Array Processing
C2 - 1994/6/26/
C3 - IEEE Seventh SP Workshop on Statistical Signal and Array Processing
CY - Quebec City, Quebec, Canada
DA - 1994/6/26/
PY - 1994/6/26/
DO - 10.1109/ssap.1994.572418
SP - 1–6
PB - IEEE
UR - http://dx.doi.org/10.1109/ssap.1994.572418
ER -
TY - CONF
TI - Convex set theoretic image recovery via chaotic iterations of approximate projections
AU - Combettes, P.L.
T2 - 1st International Conference on Image Processing
AB - Solving a convex set theoretic image recovery problem amounts to finding a point in the intersection of closed and convex sets in a Hilbert space. Methods employing projections onto the individual sets to build a sequence converging to a point in their intersection have proven most useful to obtain set theoretic solutions. They are nonetheless sometimes difficult to implement because of the theoretical or numerical tedium associated with the computation of projections at each iteration. We propose a general parallel iterative method which processes chaotically approximate projections instead of exact ones. Weak and strong convergence results are presented and subgradient projection methods are discussed as a particular case. >
C2 - 1994/11/13/
C3 - Proceedings of 1st International Conference on Image Processing
CY - Austin, Texas
DA - 1994/11/13/
PY - 1994/11/13/
DO - 10.1109/icip.1994.413863
VL - 3
SP - 182–186
PB - IEEE Comput. Soc. Press
SN - 0818669527
UR - http://dx.doi.org/10.1109/icip.1994.413863
ER -
TY - JOUR
TI - Utilization of automatic differentiation in control algorithms
AU - Campbell, S.L.
AU - Moore, E.
AU - Zhong, Yangchun
T2 - IEEE Transactions on Automatic Control
AB - Symbolic languages are increasingly being used in the analysis and implementation of control algorithms. Many of these control procedures involve some type of differentiation or Jacobian formulation. Automatic differentiation provides an alternative means of computing this information which is rarely considered in the control literature. This correspondence discusses the use of automatic differentiation. Numerical results comparing the use of automatic differentiation and symbolic approaches in the context of a particular nonlinear control system are given.< >
DA - 1994/5//
PY - 1994/5//
DO - 10.1109/9.284891
VL - 39
IS - 5
SP - 1047-1052
J2 - IEEE Trans. Automat. Contr.
OP -
SN - 0018-9286
UR - http://dx.doi.org/10.1109/9.284891
DB - Crossref
ER -
TY - JOUR
TI - Progress on a general numerical method for nonlinear higher index DAEs II
AU - Campbell, Stephen L.
AU - Moore, Edward
T2 - Circuits, Systems, and Signal Processing
DA - 1994/6//
PY - 1994/6//
DO - 10.1007/bf01188101
VL - 13
IS - 2-3
SP - 123-138
J2 - Circuits Systems and Signal Process
LA - en
OP -
SN - 0278-081X 1531-5878
UR - http://dx.doi.org/10.1007/bf01188101
DB - Crossref
ER -
TY - CHAP
TI - A Distributed Approach to Problem Solving in Maple
AU - Chan, K. C.
AU - Díaz, A.
AU - Kaltofen, E.
T2 - Maple V: Mathematics and its Applications
AB - A system is described whereby a Maple computation can be distributed across a network of computers running Unix. The distribution is based on the DSC system, which can ship source code and input data to carefully selected computers for execution and which can retrieve the produced output data. Our code is fully portable and requires no changes of the underlying Maple or Unix systems. Speedup over Maple’ s built-in sequential procedure is demonstrated when computing determinants of integer matrices.
PY - 1994///
DO - 10.1007/978-1-4612-0263-9_2
SP - 13-21
OP -
PB - Birkhäuser Boston
SN - 9780817637910 9781461202639
UR - http://dx.doi.org/10.1007/978-1-4612-0263-9_2
DB - Crossref
ER -
TY - CONF
TI - Factoring high-degree polynomials by the black box Berlekamp algorithm
AU - Kaltofen, Erich
AU - Lobo, Austin
T2 - the international symposium
AB - Article Free Access Share on Factoring high-degree polynomials by the black box Berlekamp algorithm Authors: Erich Kaltofen Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New York Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New YorkView Profile , Austin Lobo Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New York Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New YorkView Profile Authors Info & Claims ISSAC '94: Proceedings of the international symposium on Symbolic and algebraic computationAugust 1994 Pages 90–98https://doi.org/10.1145/190347.190371Published:01 August 1994Publication History 14citation740DownloadsMetricsTotal Citations14Total Downloads740Last 12 Months22Last 6 weeks3 Get Citation AlertsNew Citation Alert added!This alert has been successfully added and will be sent to:You will be notified whenever a record that you have chosen has been cited.To manage your alert preferences, click on the button below.Manage my AlertsNew Citation Alert!Please log in to your account Save to BinderSave to BinderCreate a New BinderNameCancelCreateExport CitationPublisher SiteeReaderPDF
C2 - 1994///
C3 - Proceedings of the international symposium on Symbolic and algebraic computation - ISSAC '94
DA - 1994///
DO - 10.1145/190347.190371
PB - ACM Press
SN - 0897916387
UR - http://dx.doi.org/10.1145/190347.190371
DB - Crossref
ER -
TY - CONF
TI - Asymptotically fast solution of Toeplitz-like singular linear systems
AU - Kaltofen, Erich
T2 - the international symposium
AB - Article Free Access Share on Asymptotically fast solution of Toeplitz-like singular linear systems Author: Erich Kaltofen Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New York Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New YorkView Profile Authors Info & Claims ISSAC '94: Proceedings of the international symposium on Symbolic and algebraic computationAugust 1994 Pages 297–304https://doi.org/10.1145/190347.190431Online:01 August 1994Publication History 15citation299DownloadsMetricsTotal Citations15Total Downloads299Last 12 Months8Last 6 weeks1 Get Citation AlertsNew Citation Alert added!This alert has been successfully added and will be sent to:You will be notified whenever a record that you have chosen has been cited.To manage your alert preferences, click on the button below.Manage my Alerts New Citation Alert!Please log in to your account Save to BinderSave to BinderCreate a New BinderNameCancelCreateExport CitationPublisher SiteeReaderPDF
C2 - 1994///
C3 - Proceedings of the international symposium on Symbolic and algebraic computation - ISSAC '94
DA - 1994///
DO - 10.1145/190347.190431
PB - ACM Press
SN - 0897916387
UR - http://dx.doi.org/10.1145/190347.190431
DB - Crossref
ER -
TY - JOUR
TI - The spectral radii and norms of large dimensional non-central random matrices
AU - Silverstein, Jack W.
T2 - Communications in Statistics. Stochastic Models
AB - Consider a matrix made up of i.i.d. random variables with positive mean and finite fourth moment. Results are given on its spectral norm and (if it is square) spectral radius as the dimension increases
DA - 1994/1//
PY - 1994/1//
DO - 10.1080/15326349408807308
VL - 10
IS - 3
SP - 525–532
SN - 0882-0287
UR - http://dx.doi.org/10.1080/15326349408807308
ER -
TY - JOUR
TI - Linear filters and nonlinear forecasting
AU - Lloyd, A.L.
AU - Gravenor, M.B.
T2 - Proceedings of the Royal Society of London. Series B: Biological Sciences
AB - We consider the consequences of using linear filters to reduce noise before analysing short time series for low-dimensional chaotic behaviour. We discuss mathematical theory which suggests that certain filters should not affect the results of particular nonlinear analyses. We note that these results have only been proved for purely deterministic systems and need not be true when a stochastic component is present in the time series. In particular, we demonstrate that simple moving average filters can falsely suggest that a white noise data set is chaotic by using a test commonly used by biologists. This incorrect result is not obtained if the method of surrogate data is used together with this test. The results demonstrate the extreme care needed when analysing small data sets by using sophisticated mathematical techniques. The graphical technique we describe may also aid testing for linearity in time series.
DA - 1994/5/23/
PY - 1994/5/23/
DO - 10.1098/rspb.1994.0064
VL - 256
IS - 1346
SP - 157-161
SN - 1471-2954
UR - http://dx.doi.org/10.1098/rspb.1994.0064
ER -
TY - JOUR
TI - Chaos and forecasting
AU - Lloyd, Alun L.
T2 - Trends in Ecology & Evolution
DA - 1994///
PY - 1994///
DO - http://dx.doi.org/10.1016/0169-5347(94)90288-7
VL - 9
IS - 7
SP - 244–245
ER -
TY - JOUR
TI - Numerical Approximations for Hereditary Systems with Input and Output Delays: Convergence Results and Convergence Rates
AU - Manitius, A.
AU - Tran, H. T.
T2 - SIAM Journal on Control and Optimization
AB - In this paper, the averaging approximation scheme for linear retarded functional differential equations with delays in control and observation is considered in the context of the state space theory developed by Pritchard and Salamon [SIAM J. Control Optim., 25 (1987), pp. 121–144]. Using known results from linear semigroup theory, convergence and estimate of convergence rate of the approximating semigroups are established. These extend results due to Banks and Burns [SIAM J. Control Optim., 16 (1978), pp. 169–208] and Lasiecka and Manitius [SIAM J. Numer. Anal., 25 (1988), pp. 883–907] on hereditary systems with delays in state, to the case when delays in control and observation are included. The main difference from the case when delays in input and output are excluded is that unbounded input and output operators must be dealt with in the abstract formulation. Moreover, in the presence of the unboundedness of the input and output operators, new convergence results of the state solutions and the output are also obtained.
DA - 1994/9//
PY - 1994/9//
DO - 10.1137/s0363012989161699
VL - 32
IS - 5
SP - 1332-1363
J2 - SIAM J. Control Optim.
LA - en
OP -
SN - 0363-0129 1095-7138
UR - http://dx.doi.org/10.1137/s0363012989161699
DB - Crossref
KW - FUNCTIONAL DIFFERENTIAL EQUATIONS
KW - UNBOUNDED INPUT AND OUTPUT OPERATORS
KW - AVERAGING APPROXIMATION
KW - CONVERGENCE
KW - CONVERGENCE RATE
ER -
TY - CONF
TI - A Coordinate Free Approach for Constraint Preserving Higher Index DAE Integrators
AU - Campbell, Stephen L.
AU - Moore, E.
C2 - 1994///
C3 - Proc. 94 IMACS World Congress on Scientific Computation
DA - 1994///
SP - 65–68
ER -
TY - JOUR
TI - Iterations of parallel convex projections in hilbert spaces
AU - Combettes, Patrick L.
AU - Puh, Hong
T2 - Numerical Functional Analysis and Optimization
AB - The problem of finding a common point of closed and convex sets in a Hilbert space is considered. A general iterative method of parallel projections is presented, in which the current iterate is projected simultaneously onto selected sets and the new iterate is a relaxed convex combination of the projections. Weak and strong convergence results are established and the influence of the relaxation coefficients is discussed. Convergence to a least-squares solution when the sets do not intersect is also proved.
DA - 1994/1//
PY - 1994/1//
DO - 10.1080/01630569408816563
VL - 15
IS - 3-4
SP - 225-243
J2 - Numerical Functional Analysis and Optimization
LA - en
OP -
SN - 0163-0563 1532-2467
UR - http://dx.doi.org/10.1080/01630569408816563
DB - Crossref
ER -
TY - JOUR
TI - Inconsistent signal feasibility problems: least-squares solutions in a product space
AU - Combettes, P.L.
T2 - IEEE Transactions on Signal Processing
AB - Presents parallel projection methods to find least-squares solutions to inconsistent convex set theoretic signal synthesis problems. The problem of finding a signal that minimizes a weighted average of the squares of the distances to constraint sets is reformulated in a product space, where it is equivalent to that of finding a point that lies in a particular subspace and at minimum distance from the Cartesian product of the original sets. A solution is obtained in the product space via methods of alternating projections which naturally lead to methods of parallel projections in the original space. The convergence properties of the proposed methods are analyzed and signal synthesis applications are demonstrated.< >
DA - 1994///
PY - 1994///
DO - 10.1109/78.330356
VL - 42
IS - 11
SP - 2955-2966
J2 - IEEE Trans. Signal Process.
OP -
SN - 1053-587X
UR - http://dx.doi.org/10.1109/78.330356
DB - Crossref
ER -
TY - CONF
TI - Preconditioning Via Asymptotically-defined Domain Decomposition
AU - Ashby, S F
AU - Kelley, C T
AU - Saylor, P E
AU - Scroggs, J S
A2 - Keyes, D
A2 - Xu, J
C2 - 1994///
C3 - Proceedings of the Seventh International Conference on Domain Decomposition Methods in Science and Engineering
CY - Providence
DA - 1994///
VL - 180
SP - 139-150
PB - AMS
ER -
TY - CONF
TI - Identification of the Support of Nonsmoothness
AU - Kelley, C T
A2 - Hager, W W
A2 - Hearn, D W
A2 - Pardalos, P M
C2 - 1994///
C3 - Large Scale Optimization: State of the Art
CY - Boston
DA - 1994///
SP - 192-205
PB - Kluwer Academic Publishers B.V.
ER -
TY - CONF
TI - A comparison of strongly convergent solution schemes for sharp front infiltration problems
AU - Miller, C T
AU - Kelley, C T
A2 - Peters, A
A2 - Wittum, G
A2 - Herrling, B
A2 - Meissner, U
A2 - Brebbia, C A
A2 - Gray, W G
A2 - Pinder, G F
C2 - 1994///
C3 - Computational Methods in Water Resources X, Vol. 1
DA - 1994///
SP - 325-332
PB - Kluwer Academic Publishers
ER -
TY - JOUR
TI - Chaos and forecasting
AU - Lloyd, Alun L.
T2 - Trends in Ecology & Evolution
DA - 1994/7//
PY - 1994/7//
DO - 10.1016/0169-5347(94)90288-7
VL - 9
IS - 7
SP - 244-245
J2 - Trends in Ecology & Evolution
LA - en
OP -
SN - 0169-5347
UR - http://dx.doi.org/10.1016/0169-5347(94)90288-7
DB - Crossref
ER -
TY - JOUR
TI - Hypothesis: a controlled chaotic attractor constitutes the central oscillator of the circadian clock
AU - Lloyd, David
AU - Lloyd, Alun L.
T2 - Biochemical Society Transactions
AB - Conference Article| August 01 1994 Hypothesis: a controlled chaotic attractor constitutes the central oscillator of the circadian clock DAVID LLOYD; DAVID LLOYD *Microbiology Group (PABIO), University of Wales College of Cardiff, P.O. Box 915, Cardiff CF1 3TL, Wales, UK Search for other works by this author on: This Site PubMed Google Scholar ALUN L. LLOYD ALUN L. LLOYD #Department of Zoology, University of Oxford, South Parks Road, Oxford OX1 3PS, UK Search for other works by this author on: This Site PubMed Google Scholar Author and article information Publisher: Portland Press Ltd Online ISSN: 1470-8752 Print ISSN: 0300-5127 © 1994 Biochemical Society1994 Biochem Soc Trans (1994) 22 (3): 322S. https://doi.org/10.1042/bst022322s Views Icon Views Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Icon Share Facebook Twitter LinkedIn Email Cite Icon Cite Get Permissions Citation DAVID LLOYD, ALUN L. LLOYD; Hypothesis: a controlled chaotic attractor constitutes the central oscillator of the circadian clock. Biochem Soc Trans 1 August 1994; 22 (3): 322S. doi: https://doi.org/10.1042/bst022322s Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentAll JournalsBiochemical Society Transactions Search Advanced Search This content is only available as a PDF. © 1994 Biochemical Society1994 Article PDF first page preview Close Modal You do not currently have access to this content.
DA - 1994/8//
PY - 1994/8//
DO - 10.1042/bst022322s
VL - 22
IS - 3
SP - 322S-322S
J2 - Biochm. Soc. Trans.
LA - en
OP -
SN - 0300-5127 1470-8752
UR - http://dx.doi.org/10.1042/bst022322s
DB - Crossref
ER -
TY - JOUR
TI - Multilevel Algorithms for Constrained Compact Fixed Point Problems
AU - Kelley, C. T.
AU - Sachs, E. W.
T2 - SIAM Journal on Scientific Computing
AB - In this paper the authors extend the multilevel algorithm of Atkinson and Brakhage for compact fixed point problems and the projected Newton method of Bertsekas to create a fast multilevel algorithm for parabolic boundary control problems having bound constraints on the control. Results are extended from finite dimension on constraint identification. This approach permits both adaptive integration in time and inexact evaluation of the cost functional.
DA - 1994/5//
PY - 1994/5//
DO - 10.1137/0915042
VL - 15
IS - 3
SP - 645-667
J2 - SIAM J. Sci. Comput.
LA - en
OP -
SN - 1064-8275 1095-7197
UR - http://dx.doi.org/10.1137/0915042
DB - Crossref
KW - PROJECTED NEWTON METHOD
KW - CONSTRAINT IDENTIFICATION
KW - COLLECTIVE COMPACTNESS
KW - PARABOLIC OPTIMAL CONTROL PROBLEMS
ER -
TY - JOUR
TI - Uniform Stability of Markov Chains
AU - Ipsen, Ilse C. F.
AU - Meyer, Carl D.
T2 - SIAM Journal on Matrix Analysis and Applications
AB - By deriving a new set of tight perturbation bounds, it is shown that all stationary probabilities of a finite irreducible Markov chain react essentially in the same way to perturbations in the transition probabilities. In particular, if at least one stationary probability is insensitive in a relative sense, then all stationary probabilities must be insensitive in an absolute sense. New measures of sensitivity are related to more traditional ones, and it is shown that all relevant condition numbers for the Markov chain problem are small multiples of each other. Finally, the implications of these findings to the computation of stationary probabilities by direct methods are discussed, and the results are applied to stability issues in nearly transient chains.
DA - 1994/10//
PY - 1994/10//
DO - 10.1137/s0895479892237562
VL - 15
IS - 4
SP - 1061-1074
J2 - SIAM J. Matrix Anal. & Appl.
LA - en
OP -
SN - 0895-4798 1095-7162
UR - http://dx.doi.org/10.1137/s0895479892237562
DB - Crossref
KW - MARKOV CHAINS
KW - STATIONARY DISTRIBUTION
KW - STOCHASTIC MATRIX
KW - SENSITIVITY ANALYSIS
KW - PERTURBATION THEORY
KW - STABILITY OF A MARKOV CHAIN
KW - CONDITION NUMBERS
ER -
TY - JOUR
TI - Backward errors for eigenvalue and singular value decompositions
AU - Chandrasekaran, S.
AU - Ipsen, I.C.F.
T2 - Numerische Mathematik
DA - 1994/7/1/
PY - 1994/7/1/
DO - 10.1007/s002110050057
VL - 68
IS - 2
SP - 215-223
J2 - Numerische Mathematik
OP -
SN - 0029-599X 0945-3245
UR - http://dx.doi.org/10.1007/s002110050057
DB - Crossref
ER -
TY - JOUR
TI - On Rank-Revealing Factorisations
AU - Chandrasekaran, Shivkumar
AU - Ipsen, Ilse C. F.
T2 - SIAM Journal on Matrix Analysis and Applications
AB - The problem of finding a rank-revealing QR (RRQR) factorisation of a matrix A consists of permuting the columns of A such that the resulting QR factorisation contains an upper triangular matrix whose linearly dependent columns are separated from the linearly independent ones. In this paper a systematic treatment of algorithms for determining RRQR factorisations is presented. In particular, the authors start by presenting precise mathematical formulations for the problem of determining a RRQR factorisation, all of them optimisation problems. Then a hierarchy of “greedy” algorithms is derived to solve these optimisation problems, and it is shown that the existing RRQR algorithms correspond to particular greedy algorithms in this hierarchy. Matrices on which the greedy algorithms, and therefore the existing RRQR algorithms, can fail arbitrarily badly are presented. Finally, motivated by an insight from the behaviour of the greedy algorithms, the authors present “hybrid” algorithms that solve the optimisation problems almost exactly (up to a factor proportional to the size of the matrix). Applying the hybrid algorithms as a follow-up to the conventional greedy algorithms may prove to be useful in practice.
DA - 1994/4//
PY - 1994/4//
DO - 10.1137/s0895479891223781
VL - 15
IS - 2
SP - 592-622
J2 - SIAM J. Matrix Anal. & Appl.
LA - en
OP -
SN - 0895-4798 1095-7162
UR - http://dx.doi.org/10.1137/s0895479891223781
DB - Crossref
KW - CONDITION ESTIMATION
KW - PIVOTING
KW - ORTHOGONAL FACTORIZATION
KW - NUMERICAL RANK
KW - SINGULAR VALUES
ER -
TY - JOUR
TI - Modeling and Control of Acoustic Structure Interaction Problems Via Piezoceramic Actuators: 2-D Numerical Examples
AU - Banks, H. T.
AU - Silcox, R. J.
AU - Smith, R. C.
T2 - Journal of Vibration and Acoustics
AB - The modeling and active control of acoustic pressure in a 2-D cavity with a flexible boundary (a beam) is considered. Control is implemented in the model via piezoceramic patches on the beam, which are excited in a manner so as to produce pure bending moments. Approximation techniques are discussed and, by writing the resulting system as an abstract Cauchy equation, the problem of reducing interior pressure fluctuations can be posed in the context of an LQR time domain state space formulation. Examples illustrating the dynamic behavior of the coupled system, as well as demonstrating the viability of the control method on a variety of problems with periodic forcing functions, are presented.
DA - 1994///
PY - 1994///
DO - 10.1115/1.2930440
VL - 116
IS - 3
SP - 386
J2 - J. Vib. Acoust.
LA - en
OP -
SN - 0739-3717
UR - http://dx.doi.org/10.1115/1.2930440
DB - Crossref
ER -
TY - JOUR
TI - Feedback control of noise in a 2-D nonlinear structural acoustics model
AU - Smith, R.C.
AU - Banks, H.T.
T2 - Discrete and Continuous Dynamical Systems
AB - A time domain feedback control methodology for reducing sound pressure levels in a nonlinear 2-D structural acoustics application is presented. The interior noise in this problem is generated through vibrations of one wall of the cavity (in this case a beam), and control is implemented through the excitation of piezoceramic patches which are bonded to the beam. These patches are mounted in pairs and are wired so as to create pure bending moments which directly affect the manner in which the structure vibrates. Th application of control in this manner leads to an unbounded control input term and the implications of this are discussed. The coupling between the beam vibrations and the interior acoustic response is inherently nonlinear, and this is addressed when developing a control scheme for the problem. Gains for the problem are calculated using a periodic LQR theory and are then fed back into the nonlinear system with results being demonstrated by a set of numerical examples. In particular, these examples demonstrate the viability of the method in cases involving excitation involving a large number of frequencies through both spatially uniform and nonuniform exterior forces.
DA - 1994/10//
PY - 1994/10//
DO - 10.3934/dcds.1995.1.119
VL - 1
IS - 1
SP - 119-149
J2 - DCDS-A
LA - en
OP -
SN - 1078-0947
UR - http://dx.doi.org/10.3934/dcds.1995.1.119
DB - Crossref
ER -
TY - JOUR
TI - FRACTAL APPROACH TO LIGHTNING RADIATION ON A TORTUOUS CHANNEL
AU - VECCHI, G
AU - LABATE, D
AU - CANAVERO, F
T2 - RADIO SCIENCE
AB - In this paper the radiation from a geometrically fractal (i.e., arbitrarily irregular) discharge channel is investigated from the point of view of engineering applications of fractal geometry. Numerical results are presented for lightning return stroke radiation, which demonstrate that the time waveform of radiated field (in the Fraunhofer region) is a fractal, and within the framework of employed approximations, it has the same fractal dimension as the channel path. Some implications of this finding are discussed along with the limitations of the model.
DA - 1994///
PY - 1994///
DO - 10.1029/93RS03030
VL - 29
IS - 4
SP - 691-704
SN - 0048-6604
ER -
TY - PCOMM
TI - A COMPARISON OF FRACTAL DIMENSION AND SPECTRUM COEFFICIENT CHARACTERIZATION OF 1/F-ALPHA NOISE
AU - LABATE, D
AU - CANAVERO, F
AU - DEMARCHI, A
DA - 1994/4//
PY - 1994/4//
DO - 10.1088/0026-1394/31/1/011
SP - 51-53
ER -
TY - JOUR
TI - NUMERICAL-ANALYSIS OF A NONCONVEX VARIATIONAL PROBLEM RELATED TO SOLID-SOLID PHASE-TRANSITIONS
AU - GREMAUD, PA
T2 - SIAM JOURNAL ON NUMERICAL ANALYSIS
AB - The description of equilibria of shape memory alloys or other ordered materials gives rise to nonconvex variational problems. In this paper, a two-dimensional model of such materials is studied. Due to the fact that the corresponding functional has two symmetry-related (martensitic) energy wells, the numerical approximation of the deformation gradient does not converge, but tends to oscillate between the two wells, as the size of the mesh is refined. These oscillations may be interpreted in terms of microstructures. Using a nonconforming $\mathcal{P}_1 $ finite element, an estimate is given for the rate of convergence of the probability for the approximated deformation to have its gradient “near” one of the two (martensitic) wells.
DA - 1994/2//
PY - 1994/2//
DO - 10.1137/0731006
VL - 31
IS - 1
SP - 111-127
SN - 0036-1429
KW - FINITE ELEMENT METHOD
KW - RATE OF CONVERGENCE
KW - NUMERICAL APPROXIMATION
KW - NONCONVEX
KW - VARIATIONAL PROBLEM
ER -
TY - CONF
TI - Exact SPICE model of field coupling to multiconductor transmission lines
AU - Dilece, B.
AU - Isnardi, L.
AU - Labate, D.
AU - Canavero, F. G.
C2 - 1994///
C3 - 1994 International Symposium on Electromagnetic Compatibility, Hotel Sendai Plaza, Sendai, Japan, May 16-20, 1994
DA - 1994///
SP - 12-15
PB - Tokyo: Institute of Electronics, Information and Communication Engineers; Institute of Electrical Engineers of Japan
SN - 078032000X
ER -