Add to ORKGWe find geometric and arithmetic conditions in order to characterize the irreducibility of the determinant of the generic Vandermonde matrix over the algebraic closure of any field k. We also characterize those determinants whose tropicalization with respect to the variables of a row is irreducible
In our previous paper [1], we observed that generalized Vandermonde determinants of the form V_{n;u...
The Vandermonde matrix is ubiquitous in mathematics and engineering. Both the Vandermonde matrix and...
We consider generalized Vandermonde determinants of the form V-s;mu(x(1),...x(s)) = /x(i)(muk)/, 1...
We find geometric and arithmetic conditions in order to characterize the irreducibility of the deter...
Given n ≥ 2 let a denote an increasing n-tuple of non-negative integers ai and let x denote an n-tup...
This study is based on the articles On the Vandermonde Matrix by Joseph Rushanan (1989) and The Gene...
AbstractThe aim of this article is to give explicit formulas for several Cauchy-Vandermonde determin...
This thesis discusses the extreme points of the Vandermonde determinant on various surfaces, their a...
AbstractJ.W. Robbin and D.A. Salamon [Linear Algebra Appl. 317 (2000) 225] generalized the classical...
It is a well known fact that the generalized Vandermonde determinant can be expressed as the product...
A few remarks on “On certain Vandermonde determinants whose variables separate" André Pierro de...
We dedicate this paper to the memory of our friend and colleague Grigory L. Litvinov. Abstract. We p...
We prove that for almost square tensor product grids and certain sets of bivariate poly-nomials the ...
AbstractIn our previous paper [1], we observed that generalized Vandermonde determinants of the form...
AbstractWe introduce the notion of the tropical matrix pattern, which provides a powerful tool to in...
In our previous paper [1], we observed that generalized Vandermonde determinants of the form V_{n;u...
The Vandermonde matrix is ubiquitous in mathematics and engineering. Both the Vandermonde matrix and...
We consider generalized Vandermonde determinants of the form V-s;mu(x(1),...x(s)) = /x(i)(muk)/, 1...
We find geometric and arithmetic conditions in order to characterize the irreducibility of the deter...
Given n ≥ 2 let a denote an increasing n-tuple of non-negative integers ai and let x denote an n-tup...
This study is based on the articles On the Vandermonde Matrix by Joseph Rushanan (1989) and The Gene...
AbstractThe aim of this article is to give explicit formulas for several Cauchy-Vandermonde determin...
This thesis discusses the extreme points of the Vandermonde determinant on various surfaces, their a...
AbstractJ.W. Robbin and D.A. Salamon [Linear Algebra Appl. 317 (2000) 225] generalized the classical...
It is a well known fact that the generalized Vandermonde determinant can be expressed as the product...
A few remarks on “On certain Vandermonde determinants whose variables separate" André Pierro de...
We dedicate this paper to the memory of our friend and colleague Grigory L. Litvinov. Abstract. We p...
We prove that for almost square tensor product grids and certain sets of bivariate poly-nomials the ...
AbstractIn our previous paper [1], we observed that generalized Vandermonde determinants of the form...
AbstractWe introduce the notion of the tropical matrix pattern, which provides a powerful tool to in...
In our previous paper [1], we observed that generalized Vandermonde determinants of the form V_{n;u...
The Vandermonde matrix is ubiquitous in mathematics and engineering. Both the Vandermonde matrix and...
We consider generalized Vandermonde determinants of the form V-s;mu(x(1),...x(s)) = /x(i)(muk)/, 1...