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

9 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

Access to Document

10.1007/BF02142495

Cite this

@article{e6ded713a9ec4662a0ba3a21e76c4eb6,

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

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,

day = "1",

doi = "10.1007/BF02142495",

language = "English",

volume = "11",

pages = "181--187",

journal = "Numerical Algorithms",

issn = "1017-1398",

publisher = "Springer Netherlands",

number = "1-4",

}

TY - JOUR

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

Access to Document

Other files and links

Fingerprint

Cite this