Factorizations of confluent Cauchy-Vandermonde matrices

DOI10.1016/J.AMC.2006.06.006zbMath1108.65023OpenAlexW1991974648WikidataQ114211064 ScholiaQ114211064MaRDI QIDQ858838

Xiang Wang, Lin-Zhang Lu

Publication date: 11 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.006

zbMATH Keywords

Vandermonde matricesblock Neville elimination

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

Recursive numerical recipes for the high efficient inversion of the confluent Vandermonde matrices ⋮ Accurate bidiagonal decomposition of totally positive Cauchy-Vandermonde matrices and applications

Cites Work

• Factorizations of Cauchy-Vandermonde matrices
• Total positivity and Neville elimination
• Scaled pivoting in Gauss and Neville elimination for totally positive systems
• A matricial description of Neville elimination with applications to total positivity
• Confluent Cauchy and Cauchy-Vandermonde matrices
• Explicit factorization of the Vandermonde matrix
• On the LU factorization of the Vandermonde matrix
• Computation of rational interpolants with prescribed poles
• Development of block and partitioned Neville elimination
• Totally positive matrices
• A study of the performance of Neville elimination using two kinds of partitioning techniques
• Displacement structure approach to Cauchy and Cauchy-Vandermonde matrices: Inversion formulas and fast algorithms

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