The Conditions for the Convergence of Power Scaled Matrices and Applications

Chen, Xuzhou and Hartwig, Robert E. (2011) The Conditions for the Convergence of Power Scaled Matrices and Applications. American Journal of Computational Mathematics, 01 (02). pp. 63-71. ISSN 2161-1203

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Abstract

For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence D-NAN is investigated. As a special case, necessary and sufficient conditions are given for the convergence of D-NTN , where T is triangular. These conditions involve both the spectrum as well as the diagraph of the matrix .The results are then used to privide a new proof for the convergence of subspace iteration.

Item Type: Article
Subjects: Scholar Eprints > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 22 Jun 2023 04:57
Last Modified: 26 Jun 2024 11:41
URI: http://repository.stmscientificarchives.com/id/eprint/2157

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