ON ORTHOGONAL SYSTEMS OF RATIONAL FUNCTIONS ON THE UNIT-CIRCLE AND POLYNOMIALS ORTHOGONAL WITH RESPECT TO VARYING MEASURES

被引：9

作者：

PAN, K ^{[1
]}

机构：

[1] UNIV CALIF RIVERSIDE,DEPT MATH,RIVERSIDE,CA 92521

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1993年 / 47卷 / 03期

关键词：

RATIONAL INTERPOLATION; ORTHOGONAL FUNCTIONS;

D O I：

10.1016/0377-0427(93)90059-K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the recurrence relations of rational functions that are orthonormal on the unit circle and have all their poles in a given sequence of points outside the unit disk. These relations enable us to find the recurrence relations and the ratio asymptotic behaviors for the orthonormal polynomials with respect to varying weights dmu(n) and dmu(n+1). At the end of this paper, we also consider the convergence theorem for multipoint Pade approximations of Markov type functions.

引用

页码：313 / 322

页数：10

共 21 条

[1]

Bultheel A., 1992, Numerical Algorithms, V2, P85, DOI 10.1007/BF02142207

[2]

BULTHEEL A, 1979, MATH THEORY NETWORKS, P207

[3]

BULTHEEL A, 1990, IMACS T ORTHOGONAL P, P195

[4]

BULTHEEL A, 1990, TW131 U LEUV DEP COM

[5]

BULTHEEL A, 1980, B SOC MATH BELG B, V32, P149

[6] LOSSLESS INVERSE SCATTERING, DIGITAL-FILTERS, AND ESTIMATION THEORY [J].

DEWILDE, P ;

DYM, H .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1984, 30 (04) :644-662

[7] GENERALIZED SZEGO-LEVINSON REALIZATION-ALGORITHM FOR OPTIMAL LINEAR PREDICTORS BASED ON A NETWORK SYNTHESIS APPROACH [J].

DEWILDE, P ;

VIEIRA, AC ;

KAILATH, T .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1978, 25 (09) :663-675

[8]

Djrbashian M.M., 1962, DOKL AKAD NAUK SSSR, V147, P1278

[9]

DJRBASHIAN MM, 1966, IZV AKAD NAUK ARMY M, V1, P3

[10]

DJRBASHIAN MM, 1990, NATO ADV SCI I CMPS, V294, P139

← 1 2 3 →