Error Norm Estimation in the Conjugate Gradient Algorithm

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10486643" target="_blank" >RIV/00216208:11320/24:10486643 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1137/1.9781611977868" target="_blank" >https://doi.org/10.1137/1.9781611977868</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/1.9781611977868" target="_blank" >10.1137/1.9781611977868</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Error Norm Estimation in the Conjugate Gradient Algorithm

Popis výsledku v původním jazyce

The conjugate gradient (CG) algorithm is almost always the iterative method of choice for solving linear systems with symmetric positive definite matrices. This book describes and analyzes techniques based on Gauss quadrature rules to cheaply compute bounds on norms of the error. The techniques can be used to derive reliable stopping criteria. Computation of estimates of the smallest and largest eigenvalues during CG iterations is also shown. The algorithms are illustrated by many numerical experiments, and they can be easily incorporated into existing CG codes. Error Norm Estimation in the Conjugate Gradient Algorithm is intended for those in academia and industry who use the conjugate gradient algorithm, including the many branches of science and engineering in which symmetric linear systems have to be solved.

Název v anglickém jazyce

Error Norm Estimation in the Conjugate Gradient Algorithm

Popis výsledku anglicky

The conjugate gradient (CG) algorithm is almost always the iterative method of choice for solving linear systems with symmetric positive definite matrices. This book describes and analyzes techniques based on Gauss quadrature rules to cheaply compute bounds on norms of the error. The techniques can be used to derive reliable stopping criteria. Computation of estimates of the smallest and largest eigenvalues during CG iterations is also shown. The algorithms are illustrated by many numerical experiments, and they can be easily incorporated into existing CG codes. Error Norm Estimation in the Conjugate Gradient Algorithm is intended for those in academia and industry who use the conjugate gradient algorithm, including the many branches of science and engineering in which symmetric linear systems have to be solved.

Druh

B - Odborná kniha

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

ISBN

978-1-61197-785-1

Počet stran knihy

127

Název nakladatele

Society for Industrial and Applied Mathematics

Místo vydání

Philadelphia, PA

Kód UT WoS knihy

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