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A note on the homotopy method for linear algebraic eigenvalue problems - MaRDI portal

A note on the homotopy method for linear algebraic eigenvalue problems (Q1104699)

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scientific article; zbMATH DE number 4056880
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A note on the homotopy method for linear algebraic eigenvalue problems
scientific article; zbMATH DE number 4056880

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    A note on the homotopy method for linear algebraic eigenvalue problems (English)
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    1988
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    A more elementary proof than that of \textit{T. Y. Li} and \textit{T. Sauer} [ibid. 91, 65-74 (1987; Zbl 0621.65028)] is given for the existence of homotopy curves for the eigenvalue problem for a general matrix. A corresponding result for \(Ax=\mu Bx\) is stated and the proof sketched. Advantages of the homotopy method are discussed.
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    homotopy curves
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    eigenvalue
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    homotopy method
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