Factorizations of Cauchy matrices
type: Item
instance of: scholarly article
title: Factorizations of Cauchy matrices
zbMATH Open document ID: 0891.65023
DOI: 10.1016/S0377-0427(97)00150-7
published in: Journal of Computational and Applied Mathematics
publication date: 1998-02-09T00:00:00Z
review text: A matrix \(C\) with entries \(c_{ij}= (x_i- y_j)^{-1}\) is said to be a Cauchy matrix. The LU-factorization with appropriate pivoting is discussed. The size of the matrix elements in the resulting upper triangular matrices is illustrated in 12 figures, for 12 typical situations.
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 1115927
zbMATH Keywords: Cauchy matrix
zbMATH Keywords: LU-factorization
Wikidata QID: Q114121041
author: Daniela Calvetti
author: Lothar Reichel
reviewed by: D. Braess
describes a project that uses: LINPACK
MaRDI profile type: Publication
cites work: On interpolation by rational functions
cites work: Q4314299
cites work: On the solution of Cauchy systems of equations
cites work: Q3848301
cites work: Q3932291
cites work: Q5615001
cites work: A Fast Algorithm for the Multiplication of Generalized Hilbert Matrices with Vectors
cites work: A Fast Algorithm for Trummer’s Problem
cites work: Fast Gaussian Elimination with Partial Pivoting for Matrices with Displacement Structure
cites work: Triangular factors of Cauchy and Vandermonde matrices
cites work: Fast algorithms with preprocessing for matrix-vector multiplication problems
cites work: A fast algorithm for particle simulations
cites work: Stable and Efficient Algorithms for Structured Systems of Linear Equations
cites work: Q4840532
cites work: A Matrix Problem with Application to Rapid Solution of Integral Equations
cites work: New fast algorithms for systems with Hankel and Toeplitz matrices
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description: scientific article; zbMATH DE number 1115927