Works Published in 1995

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Displaying works 61 - 73 of 73 in total

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

1995 journal article

Analysis of a QR Algorithm for Computing Singular Values

SIAM Journal on Matrix Analysis and Applications, 16(2), 520–535.

By: S. Chandrasekaran & I. Ipsen

author keywords: SINGULAR VALUE DECOMPOSITION; EIGENVALUE DECOMPOSITION; QR DECOMPOSITION; RANK REVEALING QR DECOMPOSITION; URV DECOMPOSITION; DEFLATION
TL;DR: The perturbation result for the smallest singular values of a triangular matrix is stronger than the traditional results because it guarantees high relative accuracy in the smallest plural values after an off-diagonal block of the matrix has been set to zero. (via Semantic Scholar)
Sources: Crossref, NC State University Libraries
Added: July 20, 2019

1995 journal article

Relative Perturbation Techniques for Singular Value Problems

SIAM Journal on Numerical Analysis, 32(6), 1972–1988.

By: S. Eisenstat & I. Ipsen*

Contributors: S. Eisenstat & I. Ipsen

author keywords: SINGULAR VALUE DECOMPOSITION; COMPONENTWISE RELATIVE PERTURBATIONS; DEFLATION CRITERIA; BIDIAGONAL MATRICES; BIACYCLIC MATRICES
Sources: Crossref, ORCID, NC State University Libraries
Added: July 20, 2019

1995 journal article

The Angle Between Complementary Subspaces

The American Mathematical Monthly, 102(10), 904–911.

By: I. Ipsen n & C. Meyer n

Sources: Crossref, NC State University Libraries
Added: July 20, 2019

1995 journal article

Solution of Optimal Control Problems by a Pointwise Projected Newton Method

SIAM Journal on Control and Optimization, 33(6), 1731–1757.

By: C. Kelley* & E. Sachs

author keywords: PROJECTED NEWTON ITERATION; OPTIMAL CONTROL
Sources: Crossref, ORCID
Added: July 20, 2019

1995 journal article

An Implicit Filtering Algorithm for Optimization of Functions with Many Local Minima

SIAM Journal on Optimization, 5(2), 269–285.

By: P. Gilmore & C. Kelley*

author keywords: FILTERING; PROJECTED GRADIENT ALGORITHM; QUASI-NEWTON METHOD
TL;DR: An algorithm for certain box constrained optimization problems that may have several local minima that is gradient based and therefore the performance can be improved by use of quasi-Newton methods. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 20, 2019

1995 journal article

A Fast Multilevel Algorithm for Integral Equations

SIAM Journal on Numerical Analysis, 32(2), 501–513.

By: C. Kelley*

author keywords: INTEGRAL EQUATIONS; MULTILEVEL METHODS; ATKINSON-BRAKHAGE ITERATION; COMPOSITE GAUSS RULE
TL;DR: From this norm convergent formulation a two-level approximate inverse can be constructed whose evaluation requires no fine mesh evaluations of the integral operator, and the resulting multilevel algorithm is roughly half as costly as the Atkinson–Brakhage iteration. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Crossref, ORCID
Added: July 20, 2019

1995 journal article

Multilevel source iteration accelerators for the linear transport equation in slab geometry

Transport Theory and Statistical Physics, 24(4-5), 679–707.

By: C. Kelley n

TL;DR: The implementation of these ideas, based on use of GMRES iteration to solve the coarse mesh problems, gives the solution to an accuracy of fine mesh truncation error at a cost proportional to that of an evaluation of the fine mesh source iteration map. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 20, 2019

1995 journal article

Well-Posedness of a Model for Structural Acoustic Coupling in a Cavity Enclosed by a Thin Cylindrical Shell

Journal of Mathematical Analysis and Applications, 191(1), 1–25.

By: H. Banks n & R. Smith n

Sources: Crossref, NC State University Libraries
Added: July 10, 2019

1995 journal article

The modeling of piezoceramic patch interactions with shells, plates, and beams

Quarterly of Applied Mathematics, 53(2), 353–381.

By: H. Banks n, R. Smith n & Y. Wang n

Sources: Crossref, NC State University Libraries
Added: June 30, 2019

1995 chapter

Active Control of Acoustic Pressure Fields Using Smart Material Technologies

In Flow Control (pp. 1–33).

By: H. Banks n & R. Smith*

Sources: Crossref, NC State University Libraries
Added: June 30, 2019

1995 journal article

An effective numerical technique for solving a special class of ordinary difference equations

Applied Numerical Mathematics, 18(4), 489–501.

By: V. Ryaben'kii* & S. Tsynkov*

Sources: Crossref, NC State University Libraries, ORCID
Added: June 30, 2019

1995 journal article

An Application of Nonlocal External Conditions to Viscous Flow Computations

Journal of Computational Physics, 116(2), 212–225.

By: S. Tsynkov*

Sources: Crossref, NC State University Libraries, ORCID
Added: June 30, 2019

1995 journal article

Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems

SIAM Journal on Numerical Analysis, 32(5), 1355–1389.

By: V. Ryaben’kii & S. Tsynkov*

author keywords: ARTIFICIAL BOUNDARY CONDITIONS; BOUNDARY EQUATIONS WITH PROJECTIONS; AUXILIARY PROBLEM; DIFFERENCE POTENTIALS METHOD
Sources: Crossref, NC State University Libraries, ORCID
Added: June 30, 2019

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