Explicit inverse of a generalized Vandermonde matrix

被引:35
作者
Ei-Mikkawy, MEA [1 ]
机构
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
关键词
algorithms; Vandermonde matrix; Stirling matrix; symmetric functions; MAPLE;
D O I
10.1016/S0096-3003(02)00609-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper the author gives an explicit closed form expression for the n x n inverse matrix (V-G((k)) (n))(-1) of the generalized n x n Vandermonde matrix V-G((k))(n) using the elementary symmetric functions. Symbolic and numerical results are presented. (C) 2002 Elsevier Inc. All rights reserved.
引用
收藏
页码:643 / 651
页数:9
相关论文
共 12 条
[1]  
BENDER CM, UNPUB INVERSE VANDER
[2]   FAMILIES OF RUNGE-KUTTA-NYSTROM FORMULAS [J].
DORMAND, JR ;
ELMIKKAWY, MEA ;
PRINCE, PJ .
IMA JOURNAL OF NUMERICAL ANALYSIS, 1987, 7 (02) :235-250
[3]   HIGH-ORDER EMBEDDED RUNGE-KUTTA-NYSTROM FORMULAS [J].
DORMAND, JR ;
ELMIKKAWY, MEA ;
PRINCE, PJ .
IMA JOURNAL OF NUMERICAL ANALYSIS, 1987, 7 (04) :423-430
[4]  
El-Mikkawy M. E. A., 1990, J I MATH COMPUTER SC, V3, P293
[5]   On solving linear systems of the Pascal type [J].
El-Mikkawy, MEA .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 136 (01) :195-202
[6]   A BETTER APPROACH FOR THE DERIVATION OF THE EMBEDDED RUNGE-KUTTA-NYSTROM PAIR OF ORDERS 6 AND 4 [J].
ELMIKKAWY, MEA .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1991, 40 (3-4) :245-249
[7]  
ELMIKKAWY MEA, 1992, B FS ASSIUT U, V21, P11
[8]  
ELMIKKAWY MEA, 1991, J I MATH COMPUTER SC, V4, P205
[9]   A RECURSIVE DECOUPLING METHOD FOR SOLVING TRIDIAGONAL LINEAR-SYSTEMS [J].
EVANS, DJ .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1990, 33 (1-2) :95-102
[10]   THE BLOCK DECOMPOSITION OF A VANDERMONDE MATRIX AND ITS APPLICATIONS [J].
TANG, WP ;
GOLUB, GH .
BIT, 1981, 21 (04) :505-517