Algebraic aspects of matrix orthogonality for vector polynomials

Journal of Approximation Theory

Volumn 90, Issue 1, 1997, Pages 97-116

  Sorokin, Vladimir N ^a   Van Iseghem, Jeannette ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b UNIV LILLE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031184846     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1996.3064     Document Type: Article

References (13)

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4. 4. C. Brezinski, "Biorthogonality and Its Applications to Numerical Analysis," Pure and Applied Math., Dekker, New York, 1992.
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7. 7. G. Labahn and B. Beckermann, A uniform approach for Hermite-Padé and simultaneous Padé approximants and their matrix type generalization, Numer. Algorithms 3 (1992), 45-54.
8. 8. B. Beckermann and G. Labahn, A uniform approach for the fast computation of Matrix Padé Approximants, SIAM J. Matrix Anal. Appl. 15 (1994), 804-823.
9. 9. K. Mahler, Perfect systems, Compositio Math. 19 (1968), 95-166.
10. 10. A. M. Nikishin and V. N. Sorokin, "Rational Approximations and Orthogonality," Transl. of Math. Monographs, Vol. 92, Amer. Math. Society, Providence, RI, 1991.
11. 11. V. N. Sorokin, On simultaneous approximations of few linear forms, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1 (1983), 44-47 [in Russian].
12. 12. J. Van Iseghem, "Approximants de Padé Vectoriels," thesis, Univ. de Lille, France, 1987 .
13. 13. J. Van Iseghem, Vector orthogonal relations, Vector QD-algorithm, J. Comput. Appl. Math. 19, No. 1 (1987), 141-15 0.