On Computation of Approximate Eigenvalues and Eigenvectors

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概要

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• In Ref. [5], the author defines "approximate eigenvalues"and"approximate eigenvectors," which are, in short, Taylor series expansions of eigenvalues and eigenvectors of a polynomial matrix. In this paper, an efficient algorithm to compute the approximate eigenvalues and eigenvectors is presented. The algorithm performs the computations with an arbitrary degree of convergence.

• 一般社団法人電子情報通信学会の論文
• 2002-03-01

著者

• Kitamoto Takuya

  Faculty Of Education Yamaguchi University

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• Extension of the Algorithm to Compute H_∞ Norm of a Parametric System
• Efficient Computation of the Characteristic Polynomial of a Polynomial Matrix
• On Efficient Computations of Approximate Roots
• Accurate Computation of a High Degree Coefficient of a Power Series Root(Algorithms and Data Structures)
• On Computation of Approximate Eigenvalues and Eigenvectors
• On Computation of a Power Series Root with Arbitrary Degree of Convergence
• Computation of the Peak of Time Response in the Form of Formal Power Series(Systems and Control)

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