×

Computations of coefficients in the polynomials of Padé approximations by solving systems of linear equations. (English) Zbl 0446.65005


MSC:

65D15 Algorithms for approximation of functions
41A21 Padé approximation
41A20 Approximation by rational functions
65F05 Direct numerical methods for linear systems and matrix inversion
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Graves-Morris, P. R., The numerical calculation of Pade´approximants, (Wuytack, L., Pade´approximation and its applications (1979), Springer-Verlag: Springer-Verlag Berlin and New York), 231
[2] Wuytack, L., Commented bibliography on techniques for computing Pade´approximation and its applications, (Wuytack, L., Pade´approximations and its applications (1979), Springer-Verlag: Springer-Verlag Berlin and New York), 375
[3] Bultheel, A.; Wuytack, L., Stability of numerical methods for computing Pade´approximants, (Cheney, E. W., Approximation theory III (1980), Academic Press: Academic Press New York) · Zbl 0485.65014
[4] Luke, Y. L., (The special functions and their approximations, Vols. 1 and 2 (1969), Academic Press: Academic Press New York)
[5] Luke, Y. L., Mathematical functions and their approximations (1977), Academic Press: Academic Press New York
[6] Luke, Y. L., Algorithms for the computation of mathematical functions (1977), Academic Press: Academic Press New York
[7] Bunch, J. R.; Parlett, B. N., Direct methods for solving symmetric indefinite systems of linear equations, SIAM J. Numer. Anal., 8, 639-655 (1971) · Zbl 0199.49802
[8] Bunch, J. R., Analysis of the diagonal pivoting method, SIAM J. Numer. Anal., 9, 656-680 (1971)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.