Pseudospectra of matrix polynomials that are expressed in alternative bases (Q2468361)

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Pseudospectra of matrix polynomials that are expressed in alternative bases
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    Pseudospectra of matrix polynomials that are expressed in alternative bases (English)
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    22 January 2008
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    This paper addresses the connection between pseudospectra and the theory of Lebesgue functions and Lebesgue constants, by separating the influence of the scalar basis from the natural scale of the matrix polynomial. The influence of the geometry of the interpolation nodes on the pseudospectra is considered.
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    pseudospectra
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    matrix polynomial
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    conditioning
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    Lebesgue functions
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    Lebesgue constants
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    interpolation nodes
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