From matrix to vector Padé approximants

Journal of Computational and Applied Mathematics

Volumn 51, Issue 2, 1994, Pages 205-236

  Graves Morris, P R ^a   Roberts, D E ^b  

^a UNIVERSITY OF BRADFORD   (United Kingdom)

^b EDINBURGH NAPIER UNIVERSITY   (United Kingdom)

Author keywords

Cordellier's identity; Euclidean algorithm; Kronecker's algorithm; Matrix Pad approximant; Rational approximation; Vector Pad approximant; Wynn's identity

Indexed keywords

EID: 38149147478     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(92)00008-W     Document Type: Article

References (38)

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3. i=1
4. i=1
5. Analytic properties of two-dimensional continued P-fraction expansions with constant coefficients and their simultaneous Padé—Hermite approximants
6. A reliable modification of the cross rule for rational Hermite interpolation
7. Shanks' transformation revisited
8. Topics in the theory of Padé approximants
9. Division algorithms for continued fractions and the Padé table
10. A canonical matrix continued fraction solution of the minimal (partial) realisation problem
11. Minimal vector Padé approximation
12. A matrix Euclidean algorithm and the matrix minimal Padé approximation problem
13. L'ϵ-algorithme vectoriel: interpretation géométrique et règles singulières
14. Démonstration algébrique de l'identité de Wynn aux tables de Padé non-normales
15. Interpolation rationelle et autres questions: aspects algorithmiques et numériques
16. i=1
17. The Padé table and its relation to certain algorithms of numerical analysis
18. Numerical calculation of Padé approximants
19. Vector-valued rational interpolants II
20. Vector-valued rational interpolants III
21. Degeneracies of generalized inverse, vector-valued Padé approximants
22. A de Montessus theorem for vector-valued rational interpolants
23. Continued fractions associated with the Newton—Padé table
24. Matrix Padé fractions and their computation
25. Certain continued fractions associated with the Padé table
26. Expansion of power series into P-fractions
27. A property of Euclid's algorithm and its application in Padé approximation
28. A note on the ϵ-algorithm
29. Clifford algebras and vector-valued rational forms I
30. A reliable method for rational interpolation
31. Continued fractions whose coefficients obey a non-commutative law of multiplication
32. Vector continued fractions
33. Matrix Padé approximants definitions and properties