A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems

Bernd Fischer; Martin Hanke; Marlis Hochbruck

doi:10.1007/BF02142495

A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems

Bernd Fischer^*, Martin Hanke, Marlis Hochbruck

^*Corresponding author for this work

Institute of Mathematics

7 Citations (Scopus)

Abstract

To design a conjugate-gradient type method for a given linear system one has to choose an inner product space and to compute residual polynomials which minimize the induced norm. Here we propose a unified treatment of this approach for symmetric linear systems. We mainly focus on indefinite and/or inconsistent systems.

Original language	English
Journal	Numerical Algorithms
Volume	11
Issue number	1-4
Pages (from-to)	181-187
Number of pages	7
ISSN	1017-1398
DOIs	https://doi.org/10.1007/BF02142495
Publication status	Published - 01.01.1996

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abstract = "To design a conjugate-gradient type method for a given linear system one has to choose an inner product space and to compute residual polynomials which minimize the induced norm. Here we propose a unified treatment of this approach for symmetric linear systems. We mainly focus on indefinite and/or inconsistent systems.",

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AU - Hanke, Martin

AU - Hochbruck, Marlis

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N2 - To design a conjugate-gradient type method for a given linear system one has to choose an inner product space and to compute residual polynomials which minimize the induced norm. Here we propose a unified treatment of this approach for symmetric linear systems. We mainly focus on indefinite and/or inconsistent systems.

AB - To design a conjugate-gradient type method for a given linear system one has to choose an inner product space and to compute residual polynomials which minimize the induced norm. Here we propose a unified treatment of this approach for symmetric linear systems. We mainly focus on indefinite and/or inconsistent systems.

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M3 - Journal articles

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A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems

Abstract

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