Works Published in 2000

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Displaying works 81 - 100 of 141 in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

2000 journal article

Optimal control of elliptic variational inequalities

APPLIED MATHEMATICS AND OPTIMIZATION, 41(3), 343–364.

author keywords: optimal control; variational inequalities; augmented Lagrangians; Lagrange multipliers; active set methods; strict complementarity
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Multisplitting methods: Optimal schemes for the unknowns in a given overlap

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 22(2), 554–568.

By: R. White*

author keywords: multisplitting; comparison; fluid flow
TL;DR: Convergence of this new form of multisplitting (MS) method can be studied for both symmetric positive definite (SPD) matrices and M-matrices and applications to PDEs and the equilibrium equations for fluid flow in a driven cavity will be presented. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2000 review

Modeling instability in the control system for human respiration: applications to infant non-REM sleep

[Review of ]. APPLIED MATHEMATICS AND COMPUTATION, 110(1), 1–51.

By: J. Batzel n & H. Tran n

TL;DR: The purpose of this paper is to extend the model presented by M. Jones in 1991 to include variable delay in the feedback control loop and to study the phenomena of periodic breathing and apnea as they occur during quiet sleep in infant sleep respiration at around 4 months of age. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Markov chain sensitivity measured by mean first passage times

LINEAR ALGEBRA AND ITS APPLICATIONS, 316(1-3), 21–28.

By: G. Cho n & C. Meyer n

author keywords: Markov chains; stationary distribution; mean first passage times; stochastic matrix; sensitivity analysis; perturbation theory; stability of a Markov chain; condition numbers
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Energy-based hysteresis model for magnetostrictive transducers

IEEE TRANSACTIONS ON MAGNETICS, 36(2), 429–439.

By: F. Calkins*, R. Smith n & A. Flatau*

author keywords: hysteresis model; magnetorestrictive transducer
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Dynamical analysis of density-dependent selection in a discrete one-island migration model

MATHEMATICAL BIOSCIENCES, 164(1), 1–15.

author keywords: selection; migration; genotype; density-dependence; bifurcation
MeSH headings : Alleles; Animals; Emigration and Immigration; Genetic Variation / genetics; Geography; Humans; Models, Genetic; Nonlinear Dynamics; Polymorphism, Genetic / genetics; Population Dynamics; Selection, Genetic
TL;DR: A system of non-linear difference equations is used to model the effects of density-dependent selection and migration in a population characterized by two alleles at a single gene locus, and properties for a genetically important class of equilibria associated with complete dominance in fitness are described. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Domain decomposition splittings

LINEAR ALGEBRA AND ITS APPLICATIONS, 316(1-3), 105–112.

By: R. White n

author keywords: domain decomposition; Schur complement; M-matrix
Source: Web Of Science
Added: August 6, 2018

2000 journal article

An overview of relative sin Theta theorems for invariant subspaces of complex matrices

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 123(1-2), 131–153.

Contributors: I. Ipsen n

author keywords: invariant subspace; eigenspace; relative bound; eigenvalues; grading; scaling
Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 journal article

A mathematical framework for the linear reconstructor problem in adaptive optics

LINEAR ALGEBRA AND ITS APPLICATIONS, 316(1-3), 113–135.

By: M. Chu n, V. Pauca*, R. Plemmons* & X. Sun*

Contributors: M. Chu n, V. Pauca*, R. Plemmons* & X. Sun*

author keywords: adaptive optics; atmospheric turbulence; deformable mirror; linear reconstruction; minimum variance estimator; adaptive control
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2000 journal article

A fast recursive algorithm for constructing matrices with prescribed eigenvalues and singular values

SIAM JOURNAL ON NUMERICAL ANALYSIS, 37(3), 1004–1020.

By: M. Chu*

Contributors: M. Chu*

author keywords: eigenvalues; singular values; inverse problems; Weyl-Horn theorem; recursive algorithm
TL;DR: A fast recursive algorithm is developed to construct numerically a matrix with prescribed eigenvalues and singular values of an arbitrary matrix based on the Weyl--Horn theorem. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2000 journal article

Superlinear convergence and implicit filtering

SIAM JOURNAL ON OPTIMIZATION, 10(4), 1149–1162.

By: T. Choi* & C. Kelley*

author keywords: noisy optimization; implicit filtering; BFGS algorithm; superlinear convergence
TL;DR: This paper shows how the implicit filtering algorithm can be coupled with the BFGS quasi-Newton update to obtain a superlinearly convergent iteration if the noise in the objective function decays sufficiently rapidly as the optimal point is approached. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 journal article

Reduced-order model feedback control design: Numerical implementation in a thin shell model

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 45(7), 1312–1324.

author keywords: LQR feedback control; proper orthogonal decomposition; reduced-basis computational methods; thin shell dynamics
TL;DR: Reduced-order models employing the Lagrange and popular proper orthogonal decomposition (POD) reduced-basis methods in numerical approximation and feedback control of systems are presented and numerically tested. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Quantum Z-algebras and representations of quantum affine algebras

COMMUNICATIONS IN ALGEBRA, 28(2), 829–844.

By: N. Jing n

Contributors: N. Jing n

author keywords: quantum enveloping algebras; quantum Z-operators; vertex operators; Hopf algebras
Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 journal article

Plum Dandy, a hybrid tomato, and its parents, NC EBR-5 and NC EBR-6

HortScience, 35(5), 962–963.

Source: NC State University Libraries
Added: August 6, 2018

2000 journal article

Paths, Demazure crystals, and symmetric functions

JOURNAL OF MATHEMATICAL PHYSICS, 41(9), 6477–6486.

By: A. Kuniba*, K. Misra n, M. Okado*, T. Takagi & J. Uchiyama*

Source: Web Of Science
Added: August 6, 2018

2000 journal article

Nondestructive evaluation using a reduced-order computational methodology

INVERSE PROBLEMS, 16(4), 929–945.

By: H. Banks n, M. Joyner n, B. Wincheski* & W. Winfree*

TL;DR: This paper uses eddy current based techniques and reduced-order modelling to explore the feasibility of detecting subsurface damage in structures such as air foils and pipelines and finds the methods to be efficient and robust even with data containing 10% relative noise. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Linearly compact rings having a simple group of units

COMMUNICATIONS IN ALGEBRA, 28(1), 33–49.

By: J. Cohen n & E. Berry n

Source: Web Of Science
Added: August 6, 2018

2000 journal article

Carolina Gold, a hybrid tomato, and its parents, NC1Y and NC2Y

HortScience, 35(5), 966–967.

Source: NC State University Libraries
Added: August 6, 2018

2000 journal article

A male-sterile cherry tomato breeding line, NC2C ms-10,aa

HortScience, 35(5), 964–965.

Source: NC State University Libraries
Added: August 6, 2018

2000 journal article

Schild's ladder parallel transport procedure for an arbitrary connection

International Journal of Theoretical Physics, 39(12), 2891–2898.

Source: NC State University Libraries
Added: August 6, 2018

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