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A recursive algorithm for matrix Padé approximants --- the divide-and- conquer approach - MaRDI portal

A recursive algorithm for matrix Padé approximants --- the divide-and- conquer approach (Q1263247)

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scientific article; zbMATH DE number 4126590
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A recursive algorithm for matrix Padé approximants --- the divide-and- conquer approach
scientific article; zbMATH DE number 4126590

    Statements

    A recursive algorithm for matrix Padé approximants --- the divide-and- conquer approach (English)
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    1989
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    Gegeben sei eine formale Potenzreihe \(S(x)=\sum^{\infty}_{i=0}s_ ix^ i\) mit \(n\times n\)-Matrizen \(s_ i\) als Koeffizienten. Zur Berechnung von (Matrix-) Padé-Approximationen von S(x) wird ein rekursiver Algorithmus explizit angegeben, der auch dann arbeitet, wenn die Potenzreihe nicht normal ist.
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    recursive algorithm
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    matrix Padé approximants
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    matrix polynomial
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    remainder sequence
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    divide-and-conquer
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    Euclidean algorithm
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    power series
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