Permanental compound matrices are investigated, compared with classical compound matrices, and used for estimating matrix eigenvalue products and root products of a polynomial. Bibliography: 8 titles. © Springer Science+Business Media, Inc. 2006
summary:Matrix polynomials play an important role in the theory of matrix differential equations. We...
AbstractThe well known bialternate product of two square matrices is re-examined together with anoth...
Abstract. Some known results for locating the roots of polynomials are extended to the case of matri...
Permanental compound matrices are investigated, compared with classical compound matrices, and used ...
The primary intent of this thesis is to uncover the presence of matrices in polynomials and also to ...
AbstractIf k⩽n, then Gk,n denotes the set of all strictly increasing functions from {1,2,…,k} to {1,...
In this book the authors introduce a new product on matrices called the natural product. ... Thus by...
Some known results for locating the roots of polynomials are extended to the case of matrix polynomi...
The bachelor thesis describes the relationship between the roots of the polynomial and the eigenvalu...
AbstractIt was shown by the author in a recent paper that a recurrence relation for permanents of (0...
If A is an n-square matrix, the p-th compound of A is a matrix whose entries are the p-th order mino...
We give a coherent theory of root polynomials, an algebraic tool useful for the analysis of matrix p...
AbstractUpper and lower bounds are derived for the absolute values of the eigenvalues of a matrix po...
A matrix S is a solvent of the matrix polynomial M(X)=A₀Xᵐ +...+ Am if M(S)=O where A, X, and S are ...
AbstractThe first section surveys recent results on the permanental polynomial of a square matrix A,...
summary:Matrix polynomials play an important role in the theory of matrix differential equations. We...
AbstractThe well known bialternate product of two square matrices is re-examined together with anoth...
Abstract. Some known results for locating the roots of polynomials are extended to the case of matri...
Permanental compound matrices are investigated, compared with classical compound matrices, and used ...
The primary intent of this thesis is to uncover the presence of matrices in polynomials and also to ...
AbstractIf k⩽n, then Gk,n denotes the set of all strictly increasing functions from {1,2,…,k} to {1,...
In this book the authors introduce a new product on matrices called the natural product. ... Thus by...
Some known results for locating the roots of polynomials are extended to the case of matrix polynomi...
The bachelor thesis describes the relationship between the roots of the polynomial and the eigenvalu...
AbstractIt was shown by the author in a recent paper that a recurrence relation for permanents of (0...
If A is an n-square matrix, the p-th compound of A is a matrix whose entries are the p-th order mino...
We give a coherent theory of root polynomials, an algebraic tool useful for the analysis of matrix p...
AbstractUpper and lower bounds are derived for the absolute values of the eigenvalues of a matrix po...
A matrix S is a solvent of the matrix polynomial M(X)=A₀Xᵐ +...+ Am if M(S)=O where A, X, and S are ...
AbstractThe first section surveys recent results on the permanental polynomial of a square matrix A,...
summary:Matrix polynomials play an important role in the theory of matrix differential equations. We...
AbstractThe well known bialternate product of two square matrices is re-examined together with anoth...
Abstract. Some known results for locating the roots of polynomials are extended to the case of matri...