Works Published in 1991

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Displaying works 1 - 20 of 52 in total

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

1991 journal article

Least Squares Approximation by Real Normal Matrices with Specified Spectrum

SIAM Journal on Matrix Analysis and Applications, 12(1), 115–127.

By: M. Chu*

Source: ORCID
Added: August 13, 2023

1991 journal article

Constructing Symmetric Nonnegative Matrices with Prescribed Eigenvalues by Differential Equations

SIAM Journal on Mathematical Analysis, 22(5), 1372–1387.

By: M. Chu* & K. Driessel

Source: ORCID
Added: August 13, 2023

1991 journal article

A continuous Jacobi-like approach to the simultaneous reduction of real matrices

Linear Algebra and Its Applications, 147(C), 75–96.

By: M. Chu n

Contributors: M. Chu n

TL;DR: It is shown that the projected gradient of the objective function can be formulated explicitly and gives rise to a system of ordinary differential equations that can be readily solved by numerical software. (via Semantic Scholar)
Source: ORCID
Added: July 4, 2023

1991 conference paper

Size efficient parallel algebraic circuits for partial derivatives

In D. V. Shirkov, V. A. Rostovtsev, & V. P. Gerdt (Eds.), IV International Conference on Computer Algebra in Physical Research (pp. 133–145). Singapore: World Scientific Publishing Co.

By: E. Kaltofen & M. Singer

Ed(s): D. Shirkov, V. Rostovtsev & V. Gerdt

Source: NC State University Libraries
Added: March 26, 2022

1991 conference paper

Least squares completions for nonlinear index three Hessenberg DAEs

IMACS '91 : proceedings of the 13th IMACS World Congress on Computation and Applied Mathematics : July 22-26, 1991, Trinity College, Dublin, Ireland, 1145–1148. Dublin: Criterion.

By: S. Campbell

Event: International Association for Mathematics and Computers in Simulation World Congress on Computation and Applied Mathematics at Dublin, Ireland on July 22-26, 1991

Source: NC State University Libraries
Added: November 24, 2021

1991 conference paper

2-D (differential-delay) implicit systems

IMACS '91 : proceedings of the 13th IMACS World Congress on Computation and Applied Mathematics : July 22-26, 1991, Trinity College, Dublin, Ireland, 1828–1829. Dublin: Criterion Press.

By: S. Campbell

Event: International Association for Mathematics and Computers in Simulation World Congress on Computation and Applied Mathematics at Dublin, Ireland on July 22-26, 1991

Source: NC State University Libraries
Added: November 24, 2021

1991 journal article

ANALYTICAL MODEL OF CORNEAL SURGERY

Journal of Biomechanical Engineering-Transactions of the Asme, 113(2), 239–241.

By: R. Rand*, S. Lubkin* & H. Howland*

Contributors: R. Rand*, S. Lubkin* & H. Howland*

MeSH headings : Cornea / pathology; Cornea / physiopathology; Elasticity; Humans; Intraocular Pressure / physiology; Keratotomy, Radial; Models, Biological
TL;DR: A model of the human cornea is presented in order to study the changes in its shape resulting from surgical operations, and the effect of surgery on corneal flattening and the associated sensitivity to intraocular pressure changes is investigated. (via Semantic Scholar)
Source: ORCID
Added: August 23, 2021

1991 conference paper

DSC: a system for distributed symbolic computation

In S. M. Watt (Ed.), Proceedings of the 1991 international symposium on Symbolic and algebraic computation - ISSAC '91 (pp. 323–332).

Ed(s): S. Watt

Event: ISSAC 91: International Symposium on Symbolic Algebraic Computation at Bonn, West Germany on July 15-17, 1991

TL;DR: This work has tested DSC with a primality test for large integers and with a factorization algorithm for polynomials over large finite fields and observed significant speed-ups over executing the best-known methods on a single workstation computation. (via Semantic Scholar)
Source: Crossref
Added: June 15, 2021

1991 chapter

On wiedemann's method of solving sparse linear systems

In H. F. Mattson, T. Mora, & T. R. N. Rao (Eds.), Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (pp. 29–38).

By: E. Kaltofen* & B. Saunders*

Ed(s): H. Mattson, T. Mora & T. Rao

Event: 9th International Symposium, AAECC-9 at New Orleans, LA on October 7-11, 1991

TL;DR: Douglas Wiedemann’s (1986) landmark approach to solving sparse linear systems over finite fields provides the symbolic counterpart to non-combinatorial numerical methods for solving sparselinear systems, such as the Lanczos or conjugate gradient method. (via Semantic Scholar)
Source: Crossref
Added: June 15, 2021

1991 chapter

Explicit Construction of the Hilbert Class Fields of Imaginary Quadratic Fields by Integer Lattice Reduction

In D. V. Chudnovsky, G. V. Chudnovsky, H. Cohn, & M. B. Nathanson (Eds.), Number Theory (pp. 149–202).

By: E. Kaltofen* & N. Yui*

Ed(s): D. Chudnovsky, G. Chudnovsky, H. Cohn & M. Nathanson

Source: Crossref
Added: June 15, 2021

1991 journal article

Undercompressive shocks for nonstrictly hyperbolic conservation laws

Journal of Dynamics and Differential Equations, 3(2), 199–271.

By: S. Schecter n & M. Shearer n

UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Sources: Crossref, NC State University Libraries
Added: March 20, 2021

1991 chapter

Numerical Studies of the Linear Quadratic Control Problem for Retarded Systems with Delay in Control

In Computation and Control II (pp. 307–324).

By: H. Tran n

Sources: Crossref, NC State University Libraries
Added: December 7, 2020

1991 journal article

Partial Cylindrical Algebraic Decomposition for quantifier elimination

Journal of Symbolic Computation, 12(3), 299–328.

By: G. Collins* & H. Hong*

TL;DR: This paper presents a method which intermingles CAD construction with truth evaluation so that parts of the CAD are constructed only as needed to further truth evaluation and aborts CAD construction as soon as no more truth evaluation is needed. (via Semantic Scholar)
Source: ORCID
Added: November 6, 2020

1991 journal article

A Fully-Discrete Spectral Method for Delay-Differential Equations

SIAM Journal on Numerical Analysis, 28(4), 1121–1140.

By: K. Ito, H. Tran* & A. Manitius

author keywords: SPECTRAL METHOD; STABILITY ANALYSIS; FUNCTIONAL-DIFFERENTIAL EQUATIONS
Sources: Crossref, NC State University Libraries
Added: October 31, 2020

1991 report

Viscous Profiles and Numerical Methods for Shock Waves

By: M. Shearer*

UN Sustainable Development Goal Categories
13. Climate Action (OpenAlex)
Sources: Crossref, NC State University Libraries
Added: September 14, 2020

1991 conference paper

Critères de qualité en estimation ensembliste

Actes du Treizième Colloque GRETSI, 249–252. Juan-les-Pins.

By: P. Combettes & T. Chaussalet

Event: Actes du Treizième Colloque GRETSI at Juan-les-Pins, France on September 16-20, 1991

Source: NC State University Libraries
Added: September 8, 2020

1991 journal article

Duality, observability, and controllability for linear time-varying descriptor systems

Circuits Systems and Signal Processing, 10(4), 455–470.

By: S. Campbell n, N. Nichols* & W. Terrell n

author keywords: DESCRIPTOR; SINGULAR; DIFFERENTIAL-ALGEBRAIC; OBSERVABILITY; CONTROLLABILITY; DUALITY; STRUCTURAL FORMS
UN Sustainable Development Goal Categories
Sources: Crossref, NC State University Libraries
Added: August 31, 2020

1991 journal article

Observability of Linear Time-Varying Descriptor Systems

SIAM Journal on Matrix Analysis and Applications, 12(3), 484–496.

By: S. Campbell* & W. Terrell

author keywords: DESCRIPTOR; SINGULAR; OBSERVABILITY; EXTERNAL BEHAVIOR
UN Sustainable Development Goal Categories
Sources: Crossref, NC State University Libraries
Added: August 31, 2020

1991 journal article

Differentiation of Constraints in Differential-Algebraic Equations∗

Mechanics of Structures and Machines, 19(1), 19–39.

By: S. Campbell n & B. Leimkuhler

UN Sustainable Development Goal Categories
Sources: Crossref, NC State University Libraries
Added: August 31, 2020

1991 conference paper

Processor efficient parallel solution of linear systems over an abstract field

Proceedings of the third annual ACM symposium on Parallel algorithms and architectures - SPAA '91. Presented at the the third annual ACM symposium.

By: E. Kaltofen* & V. Pan*

Event: the third annual ACM symposium

TL;DR: Parallel randomized algorithms are presented that solve n-dimensional systems of linear equations and compute inverses of n × n non-singular matrices over a field in O((log n)) time, where each time unit represents an arithmetic operation in the field generated by the matrix entries. (via Semantic Scholar)
Source: Crossref
Added: August 28, 2020

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