TY - JOUR

T1 - Conjugate Direction Methods for Multiple Solution of Slaes

AU - Gurieva, Y. L.

AU - Il’in, V. P.

N1 - Publisher Copyright: © 2021, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/6

Y1 - 2021/6

N2 - Conjugate gradient and conjugate residual methods for multiple solution of systems of linear algebraic equations (SLAEs) with the same matrices but different successively determined right-hand sides are considered. In order to speed up the iterative solution of the second and subsequent SLAEs, deflation algorithms are applied. These algorithms use the direction vectors obtained in the course of solving the first system as the basis ones. Results of numerical experiments for model examples, illustrating the efficiency of the approaches under consideration, are provided.

AB - Conjugate gradient and conjugate residual methods for multiple solution of systems of linear algebraic equations (SLAEs) with the same matrices but different successively determined right-hand sides are considered. In order to speed up the iterative solution of the second and subsequent SLAEs, deflation algorithms are applied. These algorithms use the direction vectors obtained in the course of solving the first system as the basis ones. Results of numerical experiments for model examples, illustrating the efficiency of the approaches under consideration, are provided.

UR - http://www.scopus.com/inward/record.url?scp=85105287838&partnerID=8YFLogxK

U2 - 10.1007/s10958-021-05365-8

DO - 10.1007/s10958-021-05365-8

M3 - Article

AN - SCOPUS:85105287838

VL - 255

SP - 231

EP - 241

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 3

ER -