Generalized-confluent Cauchy and Cauchy-Vandermonde matrices
type: Item
instance of: scholarly article
title: Generalized-confluent Cauchy and Cauchy-Vandermonde matrices
zbMATH Open document ID: 0955.15011
DOI: 10.1016/S0024-3795(99)00279-7
author: Zhenghong Yang
author: Gongning Chen
published in: Linear Algebra and its Applications
publication date: 2001-02-27T00:00:00Z
review text: Generalized-confluent Cauchy-Vandermonde (GCCV) matrices consisting of a generalized Cauchy part C and a generalized confluent Vandermonde part V are considered. A simple relationship between the classical Cauchy matrices and generalized Cauchy matrices is obtained. The basic concern is to study their four aspects of properties: the displacement structure, inversion formulas, factorizations, and interpolation interpretation. These properties can be obtained directly from those of classical CV matrix by employing the above relationship. The notion of GCC and GCCV matrices is introduced. The criteria of invertibility of GCC and GCCV matrices are discussed and formulas are given for their right and left inversion.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 1443396
zbMATH Keywords: generalized-confluent Cauchy-Vandermonde matrices
zbMATH Keywords: Cauchy matrices
zbMATH Keywords: displacement structure
zbMATH Keywords: inversion formulas
zbMATH Keywords: factorizations
zbMATH Keywords: interpolation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1443396