On the Symmetric Componentwise Relative Backward Error for Linear Systems of Equations

Stanley C. Eisenstat; Serge Gratton; David Titley-Peloquin

doi:10.1137/140986566

On the Symmetric Componentwise Relative Backward Error for Linear Systems of Equations

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/140986566 ◽

2017 ◽

Vol 38 (4) ◽

pp. 1100-1115 ◽

Cited By ~ 1

Author(s):

Stanley C. Eisenstat ◽

Serge Gratton ◽

David Titley-Peloquin

Keyword(s):

Linear Systems ◽

Systems Of Equations ◽

Backward Error ◽

Linear Systems Of Equations

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Iterative methods for linear systems of equations: A brief historical journey

75 Years of Mathematics of Computation - Contemporary Mathematics ◽

10.1090/conm/754/15141 ◽

2020 ◽

pp. 197-215 ◽

Cited By ~ 1

Author(s):

Yousef Saad

Keyword(s):

Linear Systems ◽

Iterative Methods ◽

Systems Of Equations ◽

Linear Systems Of Equations

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Solution of Linear Systems of Equations

Boundary Element Methods - Springer Series in Computational Mathematics ◽

10.1007/978-3-540-68093-2_6 ◽

2010 ◽

pp. 353-402

Author(s):

Stefan A. Sauter ◽

Christoph Schwab

Keyword(s):

Linear Systems ◽

Systems Of Equations ◽

Linear Systems Of Equations

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Solving Non-linear Systems of Equations on Graphics Processing Units

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-642-12535-5_86 ◽

2010 ◽

pp. 719-729 ◽

Cited By ~ 3

Author(s):

Lubomir T. Dechevsky ◽

Børre Bang ◽

Joakim Gundersen ◽

Arne Lakså ◽

Arnt R. Kristoffersen

Keyword(s):

Linear Systems ◽

Graphics Processing Units ◽

Systems Of Equations ◽

Non Linear ◽

Non Linear Systems ◽

Graphics Processing ◽

Linear Systems Of Equations

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Round-off Errors in Floating-Point Solutions in Newton's Method for Two Dimensional Linear Systems of Equations

Proceedings of the Fifth International Colloquium on Differential Equations ◽

10.1515/9783112314029-035 ◽

1995 ◽

pp. 331-340

Keyword(s):

Linear Systems ◽

Newton’S Method ◽

Newton's Method ◽

Floating Point ◽

Two Dimensional ◽

Systems Of Equations ◽

Linear Systems Of Equations

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Linear Systems of Equations

Springer Series in Computational Mathematics - Numerical Toolbox for Verified Computing I ◽

10.1007/978-3-642-78423-1_10 ◽

1993 ◽

pp. 175-194

Author(s):

Ulrich Kulisch ◽

Rolf Hammer ◽

Dietmar Ratz ◽

Matthias Hocks

Keyword(s):

Linear Systems ◽

Systems Of Equations ◽

Linear Systems Of Equations

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Linear systems of equations arising in the (almost) FEM solution of low-frequency electromagnetic problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-88-470-2089-4_84 ◽

2003 ◽

pp. 931-940

Author(s):

P. Alotto

Keyword(s):

Linear Systems ◽

Low Frequency ◽

Systems Of Equations ◽

Electromagnetic Problems ◽

Linear Systems Of Equations

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Linear Systems of Equations

An Introduction to the Finite Element Method for Differential Equations ◽

10.1002/9781119671688.ch4 ◽

2020 ◽

pp. 109-124

Keyword(s):

Linear Systems ◽

Systems Of Equations ◽

Linear Systems Of Equations

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A Multi-Party Protocol for Privacy-Preserving Cooperative Linear Systems of Equations

Cryptography and Information Security in the Balkans - Lecture Notes in Computer Science ◽

10.1007/978-3-319-21356-9_11 ◽

2015 ◽

pp. 161-172 ◽

Cited By ~ 4

Author(s):

Özgür Dagdelen ◽

Daniele Venturi

Keyword(s):

Linear Systems ◽

Privacy Preserving ◽

Systems Of Equations ◽

Linear Systems Of Equations

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The solution of square linear systems of equations

Interval Methods for Systems of Equations ◽

10.1017/cbo9780511526473.006 ◽

1991 ◽

pp. 116-169

Keyword(s):

Linear Systems ◽

Systems Of Equations ◽

Linear Systems Of Equations

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A Shaving Method for Interval Linear Systems of Equations

Parallel Processing and Applied Mathematics - Lecture Notes in Computer Science ◽

10.1007/978-3-642-55195-6_54 ◽

2014 ◽

pp. 573-581 ◽

Cited By ~ 1

Author(s):

Milan Hladík ◽

Jaroslav Horáček

Keyword(s):

Linear Systems ◽

Systems Of Equations ◽

Interval Linear ◽

Interval Linear Systems ◽

Linear Systems Of Equations

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