Computing Error Bounds in Solving Linear Systems

J. Schroder

doi:10.2307/2004052

Computing Error Bounds in Solving Linear Systems

Mathematics of Computation ◽

10.2307/2004052 ◽

1962 ◽

Vol 16 (79) ◽

pp. 323 ◽

Cited By ~ 12

Author(s):

J. Schroder

Keyword(s):

Linear Systems ◽

Error Bounds ◽

Computing Error

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Computing error bounds in solving linear systems

Mathematics of Computation ◽

10.1090/s0025-5718-1962-0149662-1 ◽

1962 ◽

Vol 16 (79) ◽

pp. 323-323

Author(s):

J. Schr{öder

Keyword(s):

Linear Systems ◽

Error Bounds ◽

Computing Error

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Verified Error Bounds for Linear Systems Through the Lanczos Process

Developments in Reliable Computing ◽

10.1007/978-94-017-1247-7_20 ◽

1999 ◽

pp. 255-267

Author(s):

Andreas Frommer ◽

Andre Weinberg

Keyword(s):

Linear Systems ◽

Error Bounds ◽

Lanczos Process

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Improved componentwise verified error bounds for least squares problems and underdetermined linear systems

Numerical Algorithms ◽

10.1007/s11075-013-9735-6 ◽

2013 ◽

Vol 66 (2) ◽

pp. 309-322 ◽

Cited By ~ 5

Author(s):

Siegfried M. Rump

Keyword(s):

Least Squares ◽

Linear Systems ◽

Error Bounds ◽

Least Squares Problems ◽

Underdetermined Linear Systems

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Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems

Applied Mathematics and Computation ◽

10.1016/s0096-3003(99)00027-2 ◽

2000 ◽

Vol 109 (2-3) ◽

pp. 273-285 ◽

Cited By ~ 16

Author(s):

Zhong-Zhi Bai

Keyword(s):

Linear Systems ◽

Error Bounds ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Subspace Methods ◽

Sharp Error

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On the Complexity of Computing Error Bounds

Foundations of Computational Mathematics ◽

10.1007/s10208001004 ◽

2001 ◽

Vol 1 (1) ◽

pp. 101-125 ◽

Cited By ~ 12

Author(s):

J. Demmel ◽

B. Diament ◽

G. Malajovich

Keyword(s):

Error Bounds ◽

Computing Error

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Computing error bounds for regression problems

Statistical Analysis of Measurement Error Models and Applications - Contemporary Mathematics ◽

10.1090/conm/112/1087110 ◽

1990 ◽

pp. 195-208 ◽

Cited By ~ 10

Author(s):

Nicholas J. Higham

Keyword(s):

Error Bounds ◽

Computing Error ◽

Regression Problems

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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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2-Norm Error Bounds and Estimates for Lanczos Approximations to Linear Systems and Rational Matrix Functions

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/110859749 ◽

2013 ◽

Vol 34 (3) ◽

pp. 1046-1065 ◽

Cited By ~ 5

Author(s):

A. Frommer ◽

K. Kahl ◽

Th. Lippert ◽

H. Rittich

Keyword(s):

Linear Systems ◽

Error Bounds ◽

Matrix Functions ◽

Rational Matrix ◽

Norm Error

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Modified error bounds for approximate solutions of dense linear systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112546 ◽

2020 ◽

Vol 369 ◽

pp. 112546

Author(s):

Atsushi Minamihata ◽

Takeshi Ogita ◽

Siegfried M. Rump ◽

Shin’ichi Oishi

Keyword(s):

Linear Systems ◽

Error Bounds ◽

Approximate Solutions

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Improved error bounds for linear systems with H-matrices

Nonlinear Theory and Its Applications IEICE ◽

10.1587/nolta.6.377 ◽

2015 ◽

Vol 6 (3) ◽

pp. 377-382 ◽

Cited By ~ 1

Author(s):

Atsushi Minamihata ◽

Kouta Sekine ◽

Takeshi Ogita ◽

Siegfried M. Rump ◽

Shin'ichi Oishi

Keyword(s):

Linear Systems ◽

Error Bounds

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