TY - CHAP
TI - The Drazin inverse of an operator
AU - Campbell, S.L.
T2 - Recent Applications of Generalized Inverses
A2 - Campbell, S.L.
T3 - Pitman Advanced Publishing Program
PY - 1982///
PB - Pitman Publishing Company
SV - 66
ER -
TY - CONF
TI - Systolic networks for orthogonal equivalence transformations and their applications
AU - Heller, D.E.
AU - Ipsen, I.C.F.
T2 - Conference on Advanced Research in VLSI
A2 - Penfield, P.
C2 - 1982///
C3 - Proceedings of the Conference on Advanced Research in VLSI
DA - 1982///
PY - 1982///
SP - 113–122
PB - Artech House, Inc
ER -
TY - RPRT
TI - User’s Guide of ERC Slitting Package
AU - Lamendola, C.N.
AU - Fang, S.
A3 - AT&T Engineering Research Center
DA - 1982/3//
PY - 1982/3//
M1 - CC3083-02
M3 - Technical Report
PB - AT&T Engineering Research Center
SN - CC3083-02
ER -
TY - RPRT
TI - Fiber Selection Problem in the Lightguide Cable Ribboning Process
AU - Murr, M.R.
AU - Fang, S.
A3 - AT&T Engineering Research Center
DA - 1982/9//
PY - 1982/9//
M1 - CC7778
M3 - Technical Report
PB - AT&T Engineering Research Center
SN - CC7778
ER -
TY - CONF
TI - Optimal Scheduling of the Coil Slitting Problem
AU - Lamendola, C.N.
AU - Fang, S.
C2 - 1982///
C3 - IIE Proceedings of Annual Conference
DA - 1982///
SP - 476 – 480
ER -
TY - JOUR
TI - A Note on Q-Matrices
AU - Fang, S.
T2 - Bulletin of the Institute of Mathematics Academia Sinica
DA - 1982///
PY - 1982///
VL - 10
IS - 3
SP - 239 – 243
ER -
TY - JOUR
TI - Fixed Point Models for the Equilibrium Problems on Transportation Networks
AU - Fang, Shu-Cherng
T2 - Tamkang Journal of Mathematics
DA - 1982///
PY - 1982///
VL - 13
IS - 2
SP - 181-191
ER -
TY - JOUR
TI - Solving Linear Constrained Separable Convex Programs via Generalized Geometric Programming Duality
AU - Fang, Shu-Cherng
T2 - Chinese Journal of Mathematics
DA - 1982/12//
PY - 1982/12//
VL - 10
IS - 2
SP - 103-112
ER -
TY - JOUR
TI - Traffic Equilibria on Multiclass-User Transportation Networks Analyzed via Variational Inequalities
AU - Fang, Shu-Cherng
T2 - Tamkang Journal of Mathematics
DA - 1982///
PY - 1982///
VL - 13
IS - 1
SP - 1-9
ER -
TY - JOUR
TI - Generalized variational inequalities
AU - Fang, S. C.
AU - Peterson, E. L.
T2 - Journal of Optimization Theory and Applications
DA - 1982/11//
PY - 1982/11//
DO - 10.1007/bf00935344
VL - 38
IS - 3
SP - 363-383
J2 - J Optim Theory Appl
LA - en
OP -
SN - 0022-3239 1573-2878
UR - http://dx.doi.org/10.1007/bf00935344
DB - Crossref
ER -
TY - JOUR
TI - A model for locating repair stations in a sequential manufacturing process
AU - Fang, S.C.
T2 - Applied Mathematical Modelling
AB - With the increasing complexity of final products, the sequential manufacturing process becomes very important. It breaks a production line into a linear sequence of simpler individual operations. By performing each individual operation step by step, we can manufacture a final product with the desired high complexity. For a given sequential manufacturing process with n operations S1, S2, …, Sn, we assume there is an operational cost ci and a success probability pi associated with each operation Si. After each operation, it is possible to locate a repair station Ri. In the repair station, the first task is to test defective products at a unit test cost ti, j (which may depend on the location of the previous repair station Rj). Then the defectives are fixed at a unit repair cost ri, j (which may also depend on the location of the previous station Rj). The settings of repair stations affect both the total manufacturing cost and final yield. Our major economic incentive is to minimize the unit manufacturing cost per fault — free final product by locating a number of repair stations at proper places. Obviously there are 2n possible combinations in total. A dynamic programming model with an algorithm of 0(n3) complexity is used to solve this problem.
DA - 1982/10//
PY - 1982/10//
DO - 10.1016/s0307-904x(82)80099-1
VL - 6
IS - 5
SP - 363-368
J2 - Applied Mathematical Modelling
LA - en
OP -
SN - 0307-904X
UR - http://dx.doi.org/10.1016/s0307-904x(82)80099-1
DB - Crossref
ER -
TY - JOUR
TI - A second order singular linear system arising in electric power systems analysis†
AU - Campbell, Stephen L.
AU - Rose, Nicholas J.
T2 - International Journal of Systems Science
AB - Abstract The linear system Mx¨ + (∝ M+ β) K)[xacute] + KX= F with M singular, is decomposed into two linear systems, one singular and one non-singular. The singular ono is solved explicitly in terms of M, K, f, a, S and analysed.
DA - 1982/1//
PY - 1982/1//
DO - 10.1080/00207728208926334
VL - 13
IS - 1
SP - 101-108
J2 - International Journal of Systems Science
LA - en
OP -
SN - 0020-7721 1464-5319
UR - http://dx.doi.org/10.1080/00207728208926334
DB - Crossref
ER -
TY - JOUR
TI - Nontrivial isometries on sp(α)
AU - Campbell, Stephen L.
T2 - International Journal of Mathematics and Mathematical Sciences
AB - sp(α)is a Banach space of sequencesxwith‖x‖=(∑i=0∞|xi|p+α∑i=0∞|xi+1−xi|p)1/p. For1<p<∞,p≠2,0<α<∞,α≠1, there are no nontrivial surjective isometries insp(α). It has been conjectured that there are no nontrivial isometries. This note gives two distinct counterexamples to this conjecture and a partial affirmative answer for the case of isometries with finite codimension.
DA - 1982///
PY - 1982///
DO - 10.1155/s0161171282000222
VL - 5
IS - 2
SP - 257–261
SN - 0161-1712 1687-0425
UR - http://dx.doi.org/10.1155/s0161171282000222
ER -
TY - JOUR
TI - On positive controllers and linear quadratic optimal control problems†
AU - Campbell, Stephen L.
T2 - International Journal of Control
AB - An assumption on the non-negative solutions of quadratic equations has been used to study linear quadratic optimal control problems with positive controllers. This note investigates this assumption in more detail.
DA - 1982/11//
PY - 1982/11//
DO - 10.1080/00207178208932938
VL - 36
IS - 5
SP - 885-888
J2 - International Journal of Control
LA - en
OP -
SN - 0020-7179 1366-5820
UR - http://dx.doi.org/10.1080/00207178208932938
DB - Crossref
ER -
TY - JOUR
TI - Collocation methods for some singular integral equations in linear transport theory
AU - Kelley, C.T.
AU - Mullikin, T.W.
T2 - Journal of Integral Equations
DA - 1982///
PY - 1982///
VL - 4
SP - 77–88
ER -
TY - JOUR
TI - Approximation of solutions to some quadratic integral equations in transport theory
AU - Kelley, C.T.
T2 - Journal of Integral Equations
DA - 1982///
PY - 1982///
VL - 4
SP - 221–237
ER -
TY - JOUR
TI - Convergence Acceleration for Newton’s Method at Singular Points
AU - Decker, D. W.
AU - Kelley, C. T.
T2 - SIAM Journal on Numerical Analysis
AB - If Newton’s method is employed to find a root of a map from a Banach space into itself and the derivative is singular at that root, linear convergence of the Newton sequence to the root is the best that one can expect. In this paper we give sufficient conditions under which Newton’s method may be modified to produce a sequence $\{ x_n \} $ such that the subsequence $\{ x_{2n} \} $ converges quadratically to the root.
DA - 1982/2//
PY - 1982/2//
DO - 10.1137/0719012
VL - 19
IS - 1
SP - 219-229
J2 - SIAM J. Numer. Anal.
LA - en
OP -
SN - 0036-1429 1095-7170
UR - http://dx.doi.org/10.1137/0719012
DB - Crossref
ER -
TY - JOUR
TI - Approximate methods for the solution of the Chandrasekhar H‐equation
AU - Kelley, C. T.
T2 - Journal of Mathematical Physics
AB - We consider two methods of approximate solution to matrix valued analogs of the Chandrasekhar H-equation. We give conditions under which they converge. The first method is a generalization of approximation of the integral by a quadrature. The second is Newton’s method.
DA - 1982/11//
PY - 1982/11//
DO - 10.1063/1.525251
VL - 23
IS - 11
SP - 2097-2100
J2 - Journal of Mathematical Physics
LA - en
OP -
SN - 0022-2488 1089-7658
UR - http://dx.doi.org/10.1063/1.525251
DB - Crossref
ER -