ALGEBRAIC ASPECTS OF MATRIX ORTHOGONALITY FOR VECTOR POLYNOMIALS

Authors
SOROKIN VN VANISEGHEM J
Citation
Vn. Sorokin et J. Vaniseghem, ALGEBRAIC ASPECTS OF MATRIX ORTHOGONALITY FOR VECTOR POLYNOMIALS, Journal of approximation theory, 90(1), 1997, pp. 97-116
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of approximation theory → ACNP
ISSN journal
00219045
Volume
90
Issue
1
Year of publication
1997
Pages
97 - 116
Database
ISI
SICI code
0021-9045(1997)90:1<97:AAOMOF>2.0.ZU;2-X
Abstract
An algebraic theory of orthogonality for vector polynomials with respe ct to a matrix of linear forms is presented including recurrence relat ions, extension of the Shohat-Favard theorem, of the Christoffel-Darbo ux formula, and its converse. The connection with orthogonal matrix po lynomials is described. (C) 1997 Academic Press.