Error Norm Estimation in the Conjugate Gradient Algorithm

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Error Norm Estimation in the Conjugate Gradient Algorithm
Original language description
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.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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