AbstractThe aim of this article is to give explicit formulas for several Cauchy-Vandermonde determinants explicitly in terms of the nodes and the poles. They are usefull in deriving efficient computational procedures for rational interpolants with prescribed poles
We find geometric and arithmetic conditions in order to characterize the irreducibility of the deter...
This study is based on the articles On the Vandermonde Matrix by Joseph Rushanan (1989) and The Gene...
We present several generalizations of Cauchy’s determinant det (1/(xi + yj)) and Schur’s Pfaffian Pf...
Using a polynomial description of rational interpolation with prescribed poles a simple purely algeb...
AbstractA constructive proof for existence and unicity of the rational RM,N belonging to RM,N, M ⩾ 0...
AbstractCauchy–Vandermonde systems consist of rational functions with prescribed poles. They are com...
AbstractBivariate Cauchy-Vandermonde determinants arise in some bivariate rational interpolation pro...
We consider generalized Vandermonde determinants of the form V-s;mu(x(1),...x(s)) = /x(i)(muk)/, 1...
A few remarks on “On certain Vandermonde determinants whose variables separate" André Pierro de...
Given n ≥ 2 let a denote an increasing n-tuple of non-negative integers ai and let x denote an n-tup...
AbstractFor a given Cauchy-Vandermonde system and for given multiple nodes a Lagrange-type formula f...
AbstractWe describe how points may be placed on collections of algebraic varieties so that the resul...
This thesis discusses the extreme points of the Vandermonde determinant on various surfaces, their a...
AbstractIn our previous paper [1], we observed that generalized Vandermonde determinants of the form...
We present several identities of Cauchy-type determinants and Schur-type Pfaffians involving gen-era...
We find geometric and arithmetic conditions in order to characterize the irreducibility of the deter...
This study is based on the articles On the Vandermonde Matrix by Joseph Rushanan (1989) and The Gene...
We present several generalizations of Cauchy’s determinant det (1/(xi + yj)) and Schur’s Pfaffian Pf...
Using a polynomial description of rational interpolation with prescribed poles a simple purely algeb...
AbstractA constructive proof for existence and unicity of the rational RM,N belonging to RM,N, M ⩾ 0...
AbstractCauchy–Vandermonde systems consist of rational functions with prescribed poles. They are com...
AbstractBivariate Cauchy-Vandermonde determinants arise in some bivariate rational interpolation pro...
We consider generalized Vandermonde determinants of the form V-s;mu(x(1),...x(s)) = /x(i)(muk)/, 1...
A few remarks on “On certain Vandermonde determinants whose variables separate" André Pierro de...
Given n ≥ 2 let a denote an increasing n-tuple of non-negative integers ai and let x denote an n-tup...
AbstractFor a given Cauchy-Vandermonde system and for given multiple nodes a Lagrange-type formula f...
AbstractWe describe how points may be placed on collections of algebraic varieties so that the resul...
This thesis discusses the extreme points of the Vandermonde determinant on various surfaces, their a...
AbstractIn our previous paper [1], we observed that generalized Vandermonde determinants of the form...
We present several identities of Cauchy-type determinants and Schur-type Pfaffians involving gen-era...
We find geometric and arithmetic conditions in order to characterize the irreducibility of the deter...
This study is based on the articles On the Vandermonde Matrix by Joseph Rushanan (1989) and The Gene...
We present several generalizations of Cauchy’s determinant det (1/(xi + yj)) and Schur’s Pfaffian Pf...
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