A Schur–Padé Algorithm for Fractional Powers of a Matrix

DOI10.1137/10081232XzbMath1242.65091OpenAlexW2086619045WikidataQ56998694 ScholiaQ56998694MaRDI QIDQ3112407

Lijing Lin, Nicholas J. Higham

Publication date: 16 January 2012

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

Full work available at URL: https://doi.org/10.1137/10081232x

zbMATH Keywords

algorithmstabilitynumerical experimentsPadé approximationMATLABmatrix exponentialPadé approximantSchur decompositionfractional powermatrix functionmatrix rootmatrix logarithmmatrix powercontinued fraction representation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Padé approximation (41A21) Matrix exponential and similar functions of matrices (15A16) Numerical computation of matrix exponential and similar matrix functions (65F60)

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Uses Software

• Matlab
• mctoolbox

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