The Use of the Power Method to Find Dominant Eigenvalues of Matrices

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Description

This paper is the result of a study of the power method to find dominant eigenvalues of square matrices. It introduces ideas basic to the study and shows the development of the power method for the most well-behaved matrices possible, and it explores exactly which other types of matrices yield to the power method. The paper also discusses a type of matrix typically considered impossible for the power method, along with a modification of the power method which works for this type of matrix. It gives an overview of common extensions of the power method. The appendices contain BASIC versions ... continued below

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iii, 47 leaves

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Cavender, Terri A. July 1992.

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This thesis is part of the collection entitled: UNT Theses and Dissertations and was provided by UNT Libraries to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 335 times , with 29 in the last month . More information about this thesis can be viewed below.

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  • Cavender, Terri A.

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Description

This paper is the result of a study of the power method to find dominant eigenvalues of square matrices. It introduces ideas basic to the study and shows the development of the power method for the most well-behaved matrices possible, and it explores exactly which other types of matrices yield to the power method. The paper also discusses a type of matrix typically considered impossible for the power method, along with a modification of the power method which works for this type of matrix. It gives an overview of common extensions of the power method. The appendices contain BASIC versions of the power method and its modification.

Physical Description

iii, 47 leaves

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UNT Theses and Dissertations

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  • July 1992

Added to The UNT Digital Library

  • March 9, 2015, 8:15 a.m.

Description Last Updated

  • Aug. 25, 2017, 11:52 a.m.

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Citations, Rights, Re-Use

Cavender, Terri A. The Use of the Power Method to Find Dominant Eigenvalues of Matrices, thesis, July 1992; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc501200/: accessed November 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .