Journal of Computational and Applied Mathematics2022,Vol.4059.DOI:10.1016/j.cam.2021.113961

The Weierstrass iterative method as a Petrov-Galerkin method for solving eigenvalue problem

Nedzhibov, Gyurhan H.
Journal of Computational and Applied Mathematics2022,Vol.4059.DOI:10.1016/j.cam.2021.113961

The Weierstrass iterative method as a Petrov-Galerkin method for solving eigenvalue problem

Nedzhibov, Gyurhan H.1
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作者信息

  • 1. Shumen Univ
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Abstract

In this study, we obtain another representation of a relatively new method for solving the eigenvalue problem of the Frobenius companion matrix. We show that the iterative scheme under consideration is equivalent to the Weierstrass method. Based on this dependence, we derive new proofs of some known results and get new theoretical properties for the Weierstrass method. (C) 2021 Elsevier B.V. All rights reserved.

Key words

Weierstrass iteration/Eigenvalue problem/Frobenius companion matrix/Petrov-Galerkin method/Projection methods/Rayleigh quotient/RAYLEIGH QUOTIENT ITERATION/CONVERGENCE/COMPUTATION/ROOTS/ZEROS

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
参考文献量34
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