Convergence of the power method for multiple eigenvalue

The convergence of the power method for calculating the multiple maximum modulo eigenvalue of a symmetric real matrix is investigated. It is proved that the power method converges if the matrix has only one maximum modulo simple or multiple eigenvalue.

Authors

V. V. Verbitskyi
М. С. Таірова
V. S. Muliarchuk

Institutions

IHS Markit (United States) (US)

Publication Details

Journal: Journal of Numerical and Applied Mathematics
Published: 2025-01-01
DOI: https://doi.org/10.17721/2706-9699.2025.1.02
Primary Topic: Matrix Theory and Algorithms
Type: article
Field-Weighted Citation Impact: 0.00

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article

Convergence of the power method for multiple eigenvalue

V. V. Verbitskyi, М. С. Таірова, V. S. Muliarchuk

Jan 1, 2025

Journal of Numerical and Applied Mathematics

Matrix Theory and Algorithms

article

Convergence of the power method for multiple eigenvalue

V. V. Verbitskyi, М. С. Таірова, V. S. Muliarchuk

January 1, 2025article en

Abstract

Journal of Numerical and Applied Mathematics(1)

IHS Markit (United States) (US)

Openalex Percentile: Top 81%

Matrix Theory and Algorithms

DOI Open Access PDF OpenAlex

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Convergence of the power method for multiple eigenvalue — V. V. Verbitskyi, М. С. Таірова, et al. · Journal of Numerical and Applied Mathematics (2025) | TGRS Research Map | TGRS