NDLI: Improved form of the conjugate gradient method

Content Provider	Springer Nature Link
Author	Kalitkin, N. N. Kuz’mina, L. V.
Copyright Year	2012
Abstract	The conjugate gradient method, which is used for solving systems of linear algebraic equations, is studied. A notation for the method has been found, which proved to be the simplest and the most resistant to rounding errors. A criterion is constructed for the end of iterations based on the prevalence of rounding errors. Numerical calculations are made illustrating the specifics of the method convergence for well- and ill-posed problems. The generalization of this form is written for problems with preconditioning.
Starting Page	68
Ending Page	81
Page Count	14
File Format	PDF
ISSN	20700482
Journal	Mathematical Models and Computer Simulations
Volume Number	4
Issue Number	1
e-ISSN	20700490
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2012-02-15
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	systems of linear algebraic equations conjugate gradient method rounding errors conditioning preconditioner Mathematical Modeling and Industrial Mathematics Simulation and Modeling
Content Type	Text
Resource Type	Article
Subject	Modeling and Simulation Computational Mathematics

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Improved form of the conjugate gradient method