LU factorization of the Vandermonde matrix and its applications

DOI10.1016/j.aml.2006.10.003zbMath1152.15303OpenAlexW2081537832MaRDI QIDQ998552

Halil Oruç

Publication date: 29 January 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.10.003

zbMATH Keywords

symmetric functionsVandermonde matrix\(q\)-difference equation\(q\)-pascal matrixtriangular and bidiagonal factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Difference equations, scaling ((q)-differences) (39A13)

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Uses Software

• mctoolbox

Cites Work

• Unnamed Item
• Factorizations of Cauchy-Vandermonde matrices
• A trinomial analogue of Bailey's lemma and \(N=2\) superconformal invariance
• Explicit factorization of the Vandermonde matrix
• On the LU factorization of the Vandermonde matrix
• Interpolation and approximation by polynomials
• \(q\)-Bernstein polynomials and Bézier curves
• Symmetric functions and the Vandermonde matrix
• Triangular factors of Cauchy and Vandermonde matrices
• The Matrices of Pascal and Other Greats
• Accuracy and Stability of Numerical Algorithms