Displacement structure approach to Cauchy and Cauchy-Vandermonde matrices: Inversion formulas and fast algorithms

DOI10.1016/S0377-0427(01)00378-8zbMath1003.65022OpenAlexW2011841347MaRDI QIDQ5957930

Yong-jian Hu, Zhenghong Yang

Publication date: 8 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00378-8

zbMATH Keywords

inversion formulaLU factorizationdisplacement structureconfluent Cauchy and Cauchy-Vandermonde matrices

Mathematics Subject Classification ID

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 (5)

Factorizations of confluent Cauchy-Vandermonde matrices ⋮ On rational B-splines with prescribed poles ⋮ Displacement structures and fast inversion formulas for confluent polynomial Vandermonde-like matrices ⋮ Displacement structures and fast inversion formulas for confluent polynomial Vandermonde-like matrices ⋮ Generalized confluent Cauchy-Vandermonde matrices: Displacement structures, inversion formulas and tangential interpolations

Cites Work

• Algebraic methods for Toeplitz-like matrices and operators
• Inertia characteristics of self-adjoint matrix polynomials
• Displacement ranks of matrices and linear equations
• Remarks on the origin of the displacement-rank concept
• Computation of Cauchy-Vandermonde determinants
• Confluent Cauchy and Cauchy-Vandermonde matrices
• Generalized Cauchy-Vandermonde matrices
• Computation of rational interpolants with prescribed poles
• On Hermite interpolation by Cauchy-Vandermonde systems: The Lagrange formula, the adjoint and the inverse of a Cauchy-Vandermonde matrix
• Displacement Structure: Theory and Applications
• Fast Gaussian Elimination with Partial Pivoting for Matrices with Displacement Structure

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