Vector Pade-type approximants and vector Pade approximants

被引：12

作者：

Salam, A ^{[1
]}

机构：

[1] Univ Littoral, Lab Math Appl, CU Mi Voix, F-62228 Calais, France

来源：

JOURNAL OF APPROXIMATION THEORY | 1999年 / 97卷 / 01期

关键词：

D O I：

10.1006/jath.1997.3263

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to define vector Pade-type approximants and vector Padi approximants following the same ideas as in the scalar case. This approach will be possible using Clifford's algebra structures. Vector Pade approximants will be derived from the theory of formal vector orthogonal polynomials. Connections between generalised inverse Pade approximants of Graves-Morris and vector-valued Pade approximants of Roberts will be given. New results will be proved. (C) 1999 Academic Press.

引用

页码：92 / 112

页数：21

共 50 条

[1] Pade-type approximants and errors of Pade approximants
Gilewicz, J
Pindor, M
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 99 (1-2) : 155 - 165
[2] Convergence rates of Pade and Pade-type approximants
Ambroladze, A
Wallin, H
[J]. JOURNAL OF APPROXIMATION THEORY, 1996, 86 (03) : 310 - 319
[3] Generalized multivariate rectangular matrix Pade-type approximants and Pade approximants
Zheng, Chengde
Li, Zhibin
[J]. DCABES 2006 PROCEEDINGS, VOLS 1 AND 2, 2006, : 7 - 12
[4] PADE-TYPE AND PADE APPROXIMANTS IN SEVERAL VARIABLES
KIDA, S
[J]. APPLIED NUMERICAL MATHEMATICS, 1990, 6 (05) : 371 - 391
[5] Generalized homogeneous multivariate matrix Pade-type approximants and pade approximants
Zheng, Cheng-De
Zhang, Huaguang
Tian, Hong
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (11) : 2160 - 2165
[6] PADE-TYPE APPROXIMANTS IN MULTIVARIABLES
ARIOKA, S
[J]. APPLIED NUMERICAL MATHEMATICS, 1987, 3 (06) : 497 - 511
[7] New representations of Pade, Pade-type, and partial Pade approximants
Brezinski, Claude
Redivo-Zaglia, Michela
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 284 : 69 - 77
[8] On multivariate matrix Pade-type approximants
Zheng, Cheng-de
Li, Zhi-bin
[J]. PROCEEDINGS OF 2006 CIE INTERNATIONAL CONFERENCE ON RADAR, VOLS 1 AND 2, 2006, : 1538 - +
[9] Convergence of multipoint Pade-type approximants
Ysern, BD
Lagomasino, GL
[J]. JOURNAL OF APPROXIMATION THEORY, 2001, 109 (02) : 257 - 278
[10] ON INTERPOLATORY MULTIVARIATE PADE-TYPE APPROXIMANTS
BREZINSKI, C
[J]. BIT, 1986, 26 (02): : 254 - 258

← 1 2 3 4 5 →