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Fraction-free computation of matrix Padé systems
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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
Authors
Bernhard Beckermann  Lahlratoire d'Analyse Numérique et d'Optimisation, UFR IEEA - M3, USTL Flandres Artois, F 59655 Villeneuve d'Ascq Ccdex, France
Stan Cabay  Department of Computer Science, University of Alberta, Edmonton, Alberta, Canada
George Labahn  Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada
Sponsors
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics
Publisher
ACM  New York, NY, USA
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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.

 
1
G.A. Baker & P.R. Graves-Morris, Padd Approximants, second edition, Cambridge Univ. Press, Cambridge, UK (1995).
 
2
E. Bareiss, Sylvester's Identity and multistep integerpreserving Gaussian elimination, Math. Comp., 22(103) (1968) 565-578.
 
3
B. Beckermann, Zur interpolation mit polynomialen Linearkombinationen beliebiger Funktionen, Thesis, Univ. Hannover, 1990.
 
4
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)


Collaborative Colleagues:
Bernhard Beckermann: colleagues
Stan Cabay: colleagues
George Labahn: colleagues