| Fraction-free computation of matrix Padé systems |
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International Conference on Symbolic and Algebraic Computation
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Proceedings of the 1997 international symposium on Symbolic and algebraic computation
table of contents
Kihei, Maui, Hawaii, United States
Pages: 125 - 132
Year of Publication: 1997
ISBN:0-89791-875-4
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Authors
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Bernhard Beckermann
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Lahlratoire d'Analyse Numérique et d'Optimisation, UFR IEEA - M3, USTL Flandres Artois, F 59655 Villeneuve d'Ascq Ccdex, France
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Stan Cabay
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Department of Computer Science, University of Alberta, Edmonton, Alberta, Canada
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George Labahn
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Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada
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| Bibliometrics |
Downloads (6 Weeks): 2, Downloads (12 Months): 15, Citation Count: 3
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REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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G.A. Baker & P.R. Graves-Morris, Padd Approximants, second edition, Cambridge Univ. Press, Cambridge, UK (1995).
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E. Bareiss, Sylvester's Identity and multistep integerpreserving Gaussian elimination, Math. Comp., 22(103) (1968) 565-578.
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3
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B. Beckermann, Zur interpolation mit polynomialen Linearkombinationen beliebiger Funktionen, Thesis, Univ. Hannover, 1990.
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B. Beckermann & G. Labahn, A uniform approach for Hermite Pad6 and simultaneous Pad6 Approximants and their matrix generalizations, Numerical Algorithms 3 (1992) 45- 54.
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B. Beckermann & G. Labahn, Fraction-free Computation of Matrix GCD's and Rational Interpolants. Manuscript.
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A. Bultheel, Algorithms to compute the reflection coefficients of digital filters, Numerical Methods o/Approximation Thoery, 7(1983)
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S. Cabay & G. Labahn, A superfast algorithm for multidimensional Pad~ systems, Numerical Algorithms 2 (1992) 201-224.
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G. Labahn, Inversion Components of Block Hankel-like Matrices, Linear Algebra and its Applications 177 (1992) 7-48
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H.H. Rosenbrock, State-Space and Multivariable Theory. New York: Wiley, 1970.
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M. Van Barel & A. Bultheel, A general module theoretic framework for vector M-Pad~ and matrix rational interpolation, Numerical Algorithms 3 (1992) 451-462.
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G. Villard, Personal Communication (1996)
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CITED BY 3
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Bernhard Beckermann , George Labahn , Gilles Villard, Shifted normal forms of polynomial matrices, Proceedings of the 1999 international symposium on Symbolic and algebraic computation, p.189-196, July 28-31, 1999, Vancouver, British Columbia, Canada
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