Block power method for computing solvents and spectral factors of matrix polynomials

J. S.H. Tsai, L. S. Shieh, T. T.C. Shen

研究成果: Article同行評審

9 引文 斯高帕斯(Scopus)


This paper is concerned with the extension of the power method, used for finding the largest eigenvalue and associated eigenvector of a matrix, to its block from for computing the largest block eigenvalue and associated block eigenvector of a non-symmetric matrix. Based on the developed block power method, several algorithms are developed for solving the complete set of solvents and spectral factors of a matrix polynomial, without prior knowledge of the latent roots of the matrix polynomial. Moreover, when any right/left solvent of a matrix polynomial is given, the proposed method can be used to determine the corresponding left/right solvent such that both right and left solvents have the same eigenspectra. The matrix polynomial of interest must have distinct block solvents and a corresponding non-singular polynomial matrix. The established algorithms can be applied in the analysis and/or design of systems described by high-degree vector differential equations and/or matrix fraction descriptions.

頁(從 - 到)683-699
期刊Computers and Mathematics with Applications
出版狀態Published - 1988

All Science Journal Classification (ASJC) codes

  • 建模與模擬
  • 計算機理論與數學
  • 計算數學


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