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- Stan Cabay, Anthony R. Jonesy
- 1994

For k + 1 power series a 0 (z); : : :; a k (z), we present a new iterative, look-ahead algorithm for numerically computing Pad e-Hermite systems and simultaneous Pad e systems along a diagonal of the associated Pad e tables. The algorithm computes the systems at all those points along the diagonal at which the associated striped Sylvester and mosaic… (More)

- S. Cabay, T. P. L. Lam
- ACM Trans. Math. Softw.
- 1977

A new Fortran code, ESOLVE, is discussed for the exact solution of systems of linear equations with multiple-precision integer coefficients by congruence techniques. The code runs significantly faster than other codes which use congruential techniques. Test runs on two classes of problems reveal that the congruential method is competitive with the two-step… (More)

- Stan Cabay, Anthony Jones
- 1997

In a recent paper Cabay et al. 1996a], the authors develop a fast, iterative, look-ahead algorithm for numerically computingPad e-Hermite systems and simultaneous Pad e systems along a diagonal of the associatedPad e tables. Included there is a detailed error analysis showing that the algorithm is weakly stable. In this paper, we describe a Fortran… (More)

tire present a fraction-free approach to the computation of matrix Pad& systems. The method relies on determining a modified Schur complement for the coefficient matrices of the linear systems of equations that are associated to matrix Pad&approximation problems. By using this modified Schur complement for these matrices we are able to obtain a fast hybrid… (More)

- George Labahn, Stan Cabay
- 2005

For matrix power series with coefficients over a field, the notion of a matrix power series remainder sequence and its corresponding cofactor sequence are introduced and developed. An algor!thm for constructing these sequences is presented. It is shown that the cofactor sequence yields directly a sequence of Padd fractions for a matrix power series… (More)

- S. Cabay, T. P. L. Lam
- ACM Trans. Math. Softw.
- 1977

Received 6 June 1977. Copyright O 1977, Association for Computing Machinery, Inc. General permission to republish, but not for profit, all or part of this material is granted provided that ACM's copyright notice is given and that reference is made to the publication, to its date of issue, and to the fact that reprinting privileges were granted by permission… (More)

- Stan Cabay, Bernhard Beckmnann
- 1990

Cabay, S., G. Labahn and B. Beckermann, On the theory and computation of nonperfect Padi-Hermite approximants, Journal of Computational and Apphed Mathematics 39 (1992) 295-313. For a vector of k + 1 power series we introduce two new types of rational approximations, the weak Pad&Hermite form and the weak Pad&Hermite fraction. A recurrence relation is then… (More)

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