Subresultants, Sylvester sums and the rational interpolation problem

Author:

D'Andrea Carlos,Krick Teresa,Szanto Agnes

Funder

Research Project MTM2007

ANPCyT

CONICET

UBACyT

NSF

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference24 articles.

1. Rational interpolation and the Euclidean algorithm;Antoulas;Linear Algebra Appl.,1988

2. Fraction-free computation of matrix rational interpolants and matrix GCDs;Beckermann;SIAM J. Matrix Anal. Appl.,2000

3. On Euclid's algorithm and the theory of subresultants;Brown;J. Assoc. Comput. Mach.,1971

4. Mémoire sur les fonctions alternées et les sommes alternées;Cauchy,1841

5. Subresultants and reduced polynomial remainder sequences;Collins;J. ACM,1967

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1. Rational Interpolation: Jacobi’s Approach Reminiscence;Symmetry;2021-08-01

2. Minimal solutions of the rational interpolation problem;Revista de la Unión Matemática Argentina;2020-12-23

3. The Bulirsch‐Stoer algorithm for multivariate rational interpolation;Mathematical Methods in the Applied Sciences;2018-09-11

4. The set of unattainable points for the Rational Hermite Interpolation Problem;Linear Algebra and its Applications;2018-02

5. Subresultants in multiple roots: An extremal case;Linear Algebra and its Applications;2017-09

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