Improved Backward Error Bounds for LU and Cholesky Factorizations

Siegfried M. Rump; Claude-Pierre Jeannerod

doi:10.1137/130927231

Improved Backward Error Bounds for LU and Cholesky Factorizations

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/130927231 ◽

2014 ◽

Vol 35 (2) ◽

pp. 684-698 ◽

Cited By ~ 12

Author(s):

Siegfried M. Rump ◽

Claude-Pierre Jeannerod

Keyword(s):

Error Bounds ◽

Backward Error ◽

Cholesky Factorizations

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Backward error bounds for approximate Krylov subspaces

Linear Algebra and its Applications ◽

10.1016/s0024-3795(01)00413-x ◽

2002 ◽

Vol 340 (1-3) ◽

pp. 81-86 ◽

Cited By ~ 7

Author(s):

G.W. Stewart

Keyword(s):

Error Bounds ◽

Krylov Subspaces ◽

Backward Error

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Backward Error Bounds of Block LDLT factorizations

IEICE Proceeding Series ◽

10.15248/proc.1.876 ◽

2014 ◽

Vol 1 ◽

pp. 876-876

Author(s):

Takeshi Ogita

Keyword(s):

Error Bounds ◽

Backward Error

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Backward error bounds for polynomial eigenvalue problem solved by a Rayleigh–Ritz type contour integral-based eigensolver

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106122 ◽

2020 ◽

Vol 102 ◽

pp. 106122

Author(s):

Hongjia Chen ◽

Lei Du

Keyword(s):

Eigenvalue Problem ◽

Error Bounds ◽

Contour Integral ◽

Backward Error ◽

Polynomial Eigenvalue Problem

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Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods

SIAM Journal on Scientific Computing ◽

10.1137/s1064827500381239 ◽

2002 ◽

Vol 23 (6) ◽

pp. 1898-1923 ◽

Cited By ~ 16

Author(s):

Christopher C. Paige ◽

Zdenvek Strakos

Keyword(s):

Error Bounds ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Backward Error ◽

Minimum Residual

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Backward error bounds for 2×2 linear systems arising in the diagonal pivoting method

Nonlinear Theory and Its Applications IEICE ◽

10.1587/nolta.6.383 ◽

2015 ◽

Vol 6 (3) ◽

pp. 383-390

Author(s):

Kenta Kobayashi ◽

Takeshi Ogita

Keyword(s):

Linear Systems ◽

Error Bounds ◽

Backward Error

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Simple backward error bounds for linear least-squares problems

Linear Algebra and its Applications ◽

10.1016/j.laa.2013.03.007 ◽

2013 ◽

Vol 439 (1) ◽

pp. 78-89 ◽

Cited By ~ 2

Author(s):

Serge Gratton ◽

Pavel Jiránek ◽

David Titley-Peloquin

Keyword(s):

Least Squares ◽

Error Bounds ◽

Linear Least Squares ◽

Least Squares Problems ◽

Backward Error ◽

Linear Least Squares Problems

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Computable backward error bounds for basic algorithms in linear algebra

Nonlinear Theory and Its Applications IEICE ◽

10.1587/nolta.6.360 ◽

2015 ◽

Vol 6 (3) ◽

pp. 360-363 ◽

Cited By ~ 2

Author(s):

Siegfried M. Rump

Keyword(s):

Linear Algebra ◽

Error Bounds ◽

Backward Error

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ERROR BOUNDS FOR EXPECTATION VALUES OF ONE-ELECTRON MOLECULAR SYSTEMS

Le Journal de Physique Colloques ◽

10.1051/jphyscol:1970421 ◽

1970 ◽

Vol 31 (C4) ◽

pp. C4-123-C4-123

Author(s):

N. W. BAZLEY

Keyword(s):

Error Bounds ◽

Expectation Values ◽

Molecular Systems

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Hierarchical Production Planning in a Stochastic Manufacturing System with Long-Run Average Cost: Asymptotic Optimality and Error Bounds

SSRN Electronic Journal ◽

10.2139/ssrn.1125453 ◽

1998 ◽

Cited By ~ 4

Author(s):

Suresh Sethi ◽

Hanqin Zhang ◽

Qing Zhang

Keyword(s):

Production Planning ◽

Error Bounds ◽

Average Cost ◽

Manufacturing System ◽

Asymptotic Optimality ◽

Hierarchical Production Planning ◽

Long Run

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Least Squares Monte Carlo and Approximate Linear Programming: Error Bounds and Energy Real Option Application

SSRN Electronic Journal ◽

10.2139/ssrn.3232687 ◽

2018 ◽

Cited By ~ 2

Author(s):

Selvaprabu Nadarajah ◽

Nicola Secomandi

Keyword(s):

Monte Carlo ◽

Linear Programming ◽

Least Squares ◽

Error Bounds ◽

Real Option ◽

Least Squares Monte Carlo ◽

Programming Error ◽

Approximate Linear Programming

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