On solving linear systems of the Pascal type

DOI10.1016/S0096-3003(02)00034-6zbMath1023.65019OpenAlexW2085461159MaRDI QIDQ1856025

Moawwad E. A. El-Mikkawy

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00034-6

zbMATH Keywords

algorithmMAPLEmatrix inversionPascal matrixdot productCholesky's factorization

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05) Matrices of integers (15B36) Packaged methods for numerical algorithms (65Y15)

Related Items

Unnamed Item, A fast algorithm for solving linear systems of the Pascal type, Extended symmetric Pascal matrices via hypergeometric functions, A fast eigenvalue algorithm for Pascal matrices, Explicit inverse of a generalized Vandermonde matrix., A connection between a generalized Pascal matrix and the hypergeometric function, Remarks on two symmetric polynomials and some matrices, A systematic approach to matrix forms of the Pascal triangle: the twelve triangular matrix forms and relations, A new algorithm for linear systems of the Pascal type

Uses Software

• Maple

Cites Work

• A better approach for the derivation of the embedded runge-kutta-nystrom pair of orders 6 and 4
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