A unified approach to various orthogonalities

Claude Brezinski

Annales de la Faculté des sciences de Toulouse : Mathématiques (1992)

  • Volume: 1, Issue: 3, page 277-292
  • ISSN: 0240-2963

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Brezinski, Claude. "A unified approach to various orthogonalities." Annales de la Faculté des sciences de Toulouse : Mathématiques 1.3 (1992): 277-292. <http://eudml.org/doc/73304>.

@article{Brezinski1992,
author = {Brezinski, Claude},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {biorthogonality; recurrence relations; vector orthogonal polynomials; Christoffel-Darboux-type formula; Favard theorem; Laurent-Padé and two- point Padé approximants},
language = {eng},
number = {3},
pages = {277-292},
publisher = {UNIVERSITE PAUL SABATIER},
title = {A unified approach to various orthogonalities},
url = {http://eudml.org/doc/73304},
volume = {1},
year = {1992},
}

TY - JOUR
AU - Brezinski, Claude
TI - A unified approach to various orthogonalities
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1992
PB - UNIVERSITE PAUL SABATIER
VL - 1
IS - 3
SP - 277
EP - 292
LA - eng
KW - biorthogonality; recurrence relations; vector orthogonal polynomials; Christoffel-Darboux-type formula; Favard theorem; Laurent-Padé and two- point Padé approximants
UR - http://eudml.org/doc/73304
ER -

References

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  1. [1] Brezinski ( C.) .— Padé-type approximation and general orthogonal polynomials, Birkhäuser, Basel (1980). Zbl0418.41012MR561106
  2. [2] Brezinski ( C.) .— A direct proof of the Christoffel-Darboux identity and its equivalence to the recurrence relationship, J. Comput. Appl. Math.32 (1990), pp. 17-25. Zbl0714.33006MR1091771
  3. [3] Brezinski ( C.) .— Generalizations of the Christoffel-Darboux identity for adjacent families of orthogonal polynomials, Appl. Numer. Math.8 (1991), pp.193-199. Zbl0767.42006MR1136129
  4. [4] Brezinski ( C.) .— Biorthogonality and its applications to numerical analysis, Marcel Dekker, New-York (1991). Zbl0757.41001MR1151616
  5. [5] Brezinski ( C.) and Walz ( G.) .- Sequences of transformations and triangular recursion schemes, with applications in numerical analysis, J. Comput. Appl. Math.34 (1991), pp. 361-383. Zbl0732.65004MR1102591
  6. [6] Bultheel ( A.) .— Laurent series and their Padé approximations, Birkhäuser, Basel (1987). Zbl0624.30005MR1015712
  7. [7] Da Rocha ( Z.) .— Implementation of the recurrence relations of biorthogonality, Numerical Algorithms3 (1992), pp. 173-184. Zbl0783.65005MR1199365
  8. [8] Draux ( A.) .— Polynômes orthogonaux formels-Applications, LNM vol. 974, Springer- Verlag, Berlin (1983). Zbl0504.42001MR690769
  9. [9] Geronimus ( Ya L.) .— Polynomials orthogonal on a circle and interval, Pergamon Press, New-York (1960). Zbl0093.26503MR133642
  10. [10] Geronimus ( Ya L.). - Orthogonal polynomials, Transl., Ser. II, Am. Math. Soc.108 (1987), pp. 37-130. Zbl0373.42007
  11. [11] Van Iseghem ( J.) .— Vector orthogonal relations.Vector qd-algorithm, J. Comput. Appl. Math.19 (1987), pp. 141-150. Zbl0626.65013MR901223

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