Algorithm 766: experiments with a weakly stable algorithm for computing Padé-Hermite and simultaneous Padé approximants

DOI10.1145/244768.244790zbMath0888.65005OpenAlexW2021148028WikidataQ113310344 ScholiaQ113310344MaRDI QIDQ4371126

Anthony R. Jones, Stan Cabay, George Labahn

Publication date: 4 June 1998

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: http://www.acm.org/pubs/contents/journals/toms/1997-23/

zbMATH Keywords

numerical experimentserror analysiserror boundsToeplitz matrixHankel matrixnumerical stabilityrational approximationSylvester matrixmatrix inversionPadé-Hermite approximantssimultaneous Padé approximantsfast, iterative, lookahead algorithm

Mathematics Subject Classification ID

Padé approximation (41A21) Algorithms for approximation of functions (65D15) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (4)

Chebyshev expansion on intervals with branch points with application to the root of Kepler's equation: A Chebyshev-Hermite-Padé method ⋮ A lookahead algorithm for the solution of block Toeplitz systems ⋮ VECTOR_PADE ⋮ High order analysis of the limit cycle of the van der Pol oscillator

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