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2003•Journal of Nonlinear Mathematical PhysicsOpen access

Comparisons Between Vector and Matrix Padé Approximants

Claude Brezinski

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Abstract

In this paper, we compare the degrees and the orders of approximation of vector and matrix Padé approximants for series with matrix coefficients.It is shown that, in this respect, vector Padé approximants have better properties.Then, matrix-vector Padé approximants are defined and constructed.Finally, matrix Padé approximants are related to the method of moments.

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In this paper, we compare the degrees and the orders of approximation of vector and matrix Padé approximants for series with matrix coefficients.It is shown that, in this respect, vector Padé approximants have better properties.Then, matrix-vector Padé approximants are defined and constructed.Finally, matrix Padé approximants are related to the method of moments.

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Available abstract

In this paper, we compare the degrees and the orders of approximation of vector and matrix Padé approximants for series with matrix coefficients.It is shown that, in this respect, vector Padé approximants have better properties.Then, matrix-vector Padé approximants are defined and constructed.Finally, matrix Padé approximants are related to the method of moments.

Key concepts: Padé approximant, Mathematics, Matrix (chemical analysis), Series (stratigraphy), Matrix algebra, Mathematical analysis, Applied mathematics, Physics

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