PAIRED CAUCHY MATRICES

Authors
HEINIG G SAKHNOVICH LA TIDNIUK IF
Citation
G. Heinig et al., PAIRED CAUCHY MATRICES, Linear algebra and its applications, 251, 1997, pp. 189-214
Citations number
20
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
251
Year of publication
1997
Pages
189 - 214
Database
ISI
SICI code
0024-3795(1997)251:<189:PCM>2.0.ZU;2-9
Abstract
Invertibility, kernel description, and inversion of some Cauchy-type m atrices (''paired Cauchy matrices'') are reduced to a rational interpo lation problem. The result is applied to some problems appearing in co nnection with the solution of nonlinear integrable equations. Furtherm ore, connections between paired Cauchy matrices and paired Vandermonde and Loewner matrices are presented. (C) Elsevier Science Inc., 1997