Evaluating Padé Approximants of the Matrix Logarithm

DOI10.1137/S0895479800368688zbMath0989.65054WikidataQ56998844 ScholiaQ56998844MaRDI QIDQ2706310

Nicholas J. Higham

Publication date: 19 March 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Padé approximationcontinued fractionpartial fraction expansionmatrix logarithminverse scaling and squaring methodHorner's methodPaterson-Stockmeyer method

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items

Logarithmic link smearing for full QCD ⋮ Verified computation for the matrix principal logarithm ⋮ Multiprecision Algorithms for Computing the Matrix Logarithm ⋮ Lie-group interpolation and variational recovery for internal variables ⋮ A Padé family of iterations for the matrix sector function and the matrix p th root ⋮ A numerical study of fractional linear algebraic systems ⋮ Padé and Gregory error estimates for the logarithm of block triangular matrices ⋮ Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers ⋮ The scaling and modified squaring method for matrix functions related to the exponential ⋮ Efficient algorithms for the matrix cosine and sine

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