Adaptive Version of Simpler GMRES

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F10%3A00327336" target="_blank" >RIV/67985807:_____/10:00327336 - isvavai.cz</a>

Alternative codes found

RIV/46747885:24220/10:#0001645

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Adaptive Version of Simpler GMRES

Original language description

In this paper we propose a stable variant of Simpler GMRES. It is based on the adaptive choice of the Krylov subspace basis at a given iteration step using the intermediate residual norm decrease criterion. The new direction vector is chosen as in the original implementation of Simpler GMRES or it is equal to the normalized residual vector as in the GCR method. We show that such an adaptive strategy leads to a well-conditioned basis of the Krylov subspace and we support our theoretical results with illustrative numerical examples.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Numerical Algorithms

ISSN

1017-1398

e-ISSN

—

Volume of the periodical

53

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

20

Pages from-to

—

UT code for WoS article

000271792100005

EID of the result in the Scopus database

—