Inversion Of A Generalized Vandermonde Matrix

DOI10.1080/0020716021000059133zbMath1047.65015OpenAlexW2020277243MaRDI QIDQ4464417

Moawwad E. A. El-Mikkawy

Publication date: 27 May 2004

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020716021000059133

zbMATH Keywords

algorithmsnumerical resultsinverse matrixsymmetric functionsMAPLEStirling matrixVandermonde matrixexplicit closed form expression

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Comments on ‘Inversion of A Generalized Vandermonde Matrix’ by M.E.A. El-Mikkawy, 80 (2003) 759–765, A new study on some Vandermonde matrices and systems, A 5-instant finite difference formula to find discrete time-varying generalized matrix inverses, matrix inverses, and scalar reciprocals, The formulae and algorithms for Lagrange-power basis transformation and Lagrange-Newton transformation, Numerical recipes for the high efficient inverse of the confluent Vandermonde matrices

Uses Software

• Maple

Cites Work

• Unnamed Item
• The block decomposition of a Vandermonde matrix and its applications
• Families of Runge-Kutta-Nystrom Formulae
• High-Order Embedded Runge-Kutta-Nystrom Formulae
• A better approach for the derivation of the embedded runge-kutta-nystrom pair of orders 6 and 4
• A recursive decoupling method for solving tridiagonal linear systems