The Conditions for the Convergence of Power Scaled Matrices and Applications

The Conditions for the Convergence of Power Scaled Matrices and Applications

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 o...

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Veröffentlicht in:American journal of computational mathematics 2011-06, Vol.1 (2), p.63-71
Hauptverfasser: Chen, Xuzhou, Hartwig, Robert E.
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Sprache:eng
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Computation
Convergence
Iterative methods
Mathematical analysis
Mathematical models
Matrices (mathematics)
Sequences
Subspaces
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container_title American journal of computational mathematics
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creator Chen, Xuzhou
Hartwig, Robert E.
description 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.
doi_str_mv 10.4236/ajcm.2011.12007
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source Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals
subjects Computation
Convergence
Iterative methods
Mathematical analysis
Mathematical models
Matrices (mathematics)
Sequences
Subspaces
title The Conditions for the Convergence of Power Scaled Matrices and Applications
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