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An algorithm for computing the eigenstructure of a regular matrix polynomial - MaRDI portal

An algorithm for computing the eigenstructure of a regular matrix polynomial (Q1822455)

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scientific article; zbMATH DE number 4003363
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An algorithm for computing the eigenstructure of a regular matrix polynomial
scientific article; zbMATH DE number 4003363

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    An algorithm for computing the eigenstructure of a regular matrix polynomial (English)
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    1987
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    An algorithm for separating ranges and nullspaces of a general matrix pencil using LU decompositions is described. It is an alternative to the orthogonal factorizations used by other authors as e.g. \textit{B. Kågström} [SIAM J. Sci. Stat. Comput. 7, 185-211 (1986; Zbl 0593.65027)] and \textit{P. Van Dooren} [Linear Alg. Appl. 27, 103-140 (1979; Zbl 0416.65026)].
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    range and nullspace separation
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    matrix pencil
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    LU decompositions
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