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

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Mathematik

9 Zitate (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.

Originalsprache	Englisch
Zeitschrift	Numerical Algorithms
Jahrgang	11
Ausgabenummer	1-4
Seiten (von - bis)	181-187
Seitenumfang	7
ISSN	1017-1398
DOIs	https://doi.org/10.1007/BF02142495
Publikationsstatus	Veröffentlicht - 01.01.1996

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10.1007/BF02142495

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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.",

author = "Bernd Fischer and Martin Hanke and Marlis Hochbruck",

year = "1996",

month = jan,

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doi = "10.1007/BF02142495",

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T1 - A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems

AU - Fischer, Bernd

AU - Hanke, Martin

AU - Hochbruck, Marlis

PY - 1996/1/1

Y1 - 1996/1/1

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.

UR - https://www.scopus.com/pages/publications/21344437334

U2 - 10.1007/BF02142495

DO - 10.1007/BF02142495

M3 - Journal articles

AN - SCOPUS:21344437334

SN - 1017-1398

VL - 11

SP - 181

EP - 187

JO - Numerical Algorithms

JF - Numerical Algorithms

IS - 1-4

ER -

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

Abstract

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