Companion matrix pencils for hermite interpolants

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Companion matrix pencils for hermite interpolants

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 2007 international workshop on Symbolic-numeric computation table of contents

London, Ontario, Canada

SESSION: Contributed extended abstracts table of contents

Pages: 197 - 198

Year of Publication: 2007

ISBN:978-1-59593-744-5

Authors

D. A. Aruliah	Faculty of Science, UOIT, Oshawa, ON, Canada
Robert M. Corless	ORCCA, UWO, London, ON, Canada
Laureano Gonzalez-Vega	Universidad de Cantabria, Santander, Spain
Azar Shakoori	ORCCA, UWO, London, ON, Canada

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
ACM: Association for Computing Machinery

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 6, Downloads (12 Months): 18, Citation Count: 1

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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	J.-P. Berrut and L. N. Trefethen. Barycentric Lagrange interpolation. SIAM Rev, 46(3):501--517, 2004.
	2	Dario A. Bini , Luca Gemignani , Victor Y. Pan, Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations, Numerische Mathematik, v.100 n.3, p.373-408, May 2005 [doi>10.1007/s00211-005-0595-4]
	3	R. M. Corless and S. M. Watt. Bernstein bases are optimal, but, sometimes, Lagrange bases are better. In Proceedings of SYNASC, pages 141--153. MIRTON Press, 2004.
	4	Alan Edelman , H. Murakami, Polynomial roots from companion matrix eigenvalues, Mathematics of Computation, v.64 n.210, p.763-776, April 1995 [doi>10.2307/2153450]
	5	N. J. Higham. The numerical stability of barycentric Lagrange interpolation. IMA J. Num. Anal., 24:547--556, 2004.
	6	C. Schneider , W. Werner, Hermite interpolation: the barycentric approach, Computing, v.46 n.1, p.35-51, 1991 [doi>10.1007/BF02239010]
	7	K.-C. Toh and L. N. Trefethen. Pseudozeros of polynomials and pseudospectra of companion matrices. Numer. Math., 68:403--425, 1994.