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A computer-aided method for solvents and spectral factors of matrix polynomials - MaRDI portal

A computer-aided method for solvents and spectral factors of matrix polynomials (Q1184816)

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scientific article; zbMATH DE number 35036
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A computer-aided method for solvents and spectral factors of matrix polynomials
scientific article; zbMATH DE number 35036

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    A computer-aided method for solvents and spectral factors of matrix polynomials (English)
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    28 June 1992
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    The authors propose and test an algorithm that computes the left and right solvents and spectral factors of a monic matrix polynomial. They employ the principal \(m\)th root method to find a certain initial guess for applying the Newton-Raphson method. The matrix sign function and the block power method finally give the solutions.
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    algorithm
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    solvents
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    spectral factors
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    monic matrix polynomial
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    Newton- Raphson method
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    matrix sign function
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    block power method
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