A Comparison of Adaptive Chebyshev and Least Squares Polynomial Preconditioning for Hermitian Positive Definite Linear Systems

Steven F. Ashby; Thomas A. Manteuffel; James S. Otto

doi:10.1137/0913001

A Comparison of Adaptive Chebyshev and Least Squares Polynomial Preconditioning for Hermitian Positive Definite Linear Systems

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0913001 ◽

1992 ◽

Vol 13 (1) ◽

pp. 1-29 ◽

Cited By ~ 18

Author(s):

Steven F. Ashby ◽

Thomas A. Manteuffel ◽

James S. Otto

Keyword(s):

Least Squares ◽

Linear Systems ◽

Positive Definite ◽

Polynomial Preconditioning

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Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems

SIAM Journal on Scientific Computing ◽

10.1137/19m1298263 ◽

2021 ◽

Vol 43 (1) ◽

pp. A258-A277

Author(s):

Nicholas J. Higham ◽

Srikara Pranesh

Keyword(s):

Least Squares ◽

Linear Systems ◽

Positive Definite ◽

Least Squares Problems ◽

Symmetric Positive Definite

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Comparison of algorithms for Toeplitz least squares and symmetric positive definite linear systems

Structured Matrices in Mathematics, Computer Science, and Engineering II - Contemporary Mathematics ◽

10.1090/conm/281/04650 ◽

2001 ◽

pp. 73-99

Author(s):

Myungwon Kim ◽

Haesun Park ◽

Lars Eldén

Keyword(s):

Least Squares ◽

Linear Systems ◽

Positive Definite ◽

Symmetric Positive Definite ◽

Comparison Of Algorithms

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Inexact block SSOR-like preconditioners for non-Hermitian positive definite linear systems of strong Hermitian parts

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.014 ◽

2021 ◽

Vol 165 ◽

pp. 598-613

Author(s):

Ju-Li Zhang

Keyword(s):

Linear Systems ◽

Positive Definite

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TSIRM: A Two-Stage Iteration with Least-Squares Residual Minimization Algorithm to Solve Large Sparse Linear Systems

2015 IEEE International Parallel and Distributed Processing Symposium Workshop ◽

10.1109/ipdpsw.2015.45 ◽

2015 ◽

Author(s):

Raphael Couturier ◽

Lilia Ziane Khodja ◽

Christophe Guyeux

Keyword(s):

Least Squares ◽

Linear Systems ◽

Sparse Linear Systems ◽

Minimization Algorithm ◽

Two Stage ◽

Residual Minimization

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A novel class of approximate inverse preconditioners for large positive definite linear systems in optimization

Computational Optimization and Applications ◽

10.1007/s10589-015-9765-1 ◽

2015 ◽

Vol 65 (2) ◽

pp. 399-429 ◽

Cited By ~ 7

Author(s):

Giovanni Fasano ◽

Massimo Roma

Keyword(s):

Linear Systems ◽

Positive Definite ◽

Approximate Inverse

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Linear systems having nonnegative least squares solution

Linear and Multilinear Algebra ◽

10.1080/03081088408817583 ◽

1984 ◽

Vol 15 (2) ◽

pp. 121-132

Author(s):

S.K. Jain ◽

L.E. Snyder

Keyword(s):

Least Squares ◽

Linear Systems ◽

Nonnegative Least Squares ◽

Least Squares Solution

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Level-2 condition numbers for least-squares solution of Kronecker product linear systems

International Journal of Computer Mathematics ◽

10.1080/00207160701464557 ◽

2008 ◽

Vol 85 (5) ◽

pp. 827-841 ◽

Cited By ~ 1

Author(s):

Wenhua Kang ◽

Hua Xiang

Keyword(s):

Least Squares ◽

Linear Systems ◽

Kronecker Product ◽

Condition Numbers ◽

Least Squares Solution ◽

Level 2

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Parameter identification and convergence analysis based on the least-squares method for a class of non-linear systems Part 1. SISO case

International Journal of Systems Science ◽

10.1080/00207729108910587 ◽

1991 ◽

Vol 22 (1) ◽

pp. 33-48 ◽

Cited By ~ 8

Author(s):

MING-WANG ZHAO ◽

YONG-ZAI LU

Keyword(s):

Parameter Identification ◽

Least Squares ◽

Convergence Analysis ◽

Linear Systems ◽

Least Squares Method ◽

Non Linear ◽

Non Linear Systems

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A SHSS–SS iteration method for non-Hermitian positive definite linear systems

Results in Applied Mathematics ◽

10.1016/j.rinam.2021.100225 ◽

2022 ◽

Vol 13 ◽

pp. 100225

Author(s):

Cui-Xia Li ◽

Shi-Liang Wu

Keyword(s):

Linear Systems ◽

Iteration Method ◽

Positive Definite

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Row elimination for solving sparse linear systems and least squares problems

Lecture Notes in Mathematics - Numerical Analysis ◽

10.1007/bfb0080119 ◽

1976 ◽

pp. 122-133 ◽

Cited By ~ 11

Author(s):

W. Morven Gentleman

Keyword(s):

Least Squares ◽

Linear Systems ◽

Sparse Linear Systems ◽

Least Squares Problems

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