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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AJCM20110200007_87658188.pdf - Published Version
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Official URL: https://doi.org/10.4236/ajcm.2011.12007
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 |
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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 |