Add to ORKGAbstract. Supertropical matrix theory was investigated in [6], whose terminology we follow. In this work we investigate eigenvalues, characteristic polynomials and coefficients of characteristic polynomials of supertropical matrices and their powers, and obtain the analog to the basic property of matrices that any power of an eigenvalue of a matrix is an eigenvalue of the corresponding power of the matrix. 1
Palindromic polynomial eigenvalue problems and related classes of structured eigenvalue problems are...
AbstractLet A∈Fn×n, B∈Fn×t, where F is an arbitrary field. We describe the possible characteristic p...
In this paper, we investigated the behavior of the characteristic polynomials of a one-parameter fam...
Supertropical matrix theory was investigated in [6], whose terminology we follow. In this work we in...
AbstractWe investigate powers of supertropical matrices, with special attention to the role of the c...
We investigate powers of supertropical matrices, with special attention to the role of the co- e±cie...
Using a determinant identity, we establish an algebraic relation between the characteristic polynomi...
AbstractThe coefficients of the characteristic polynomial of a matrix are expressed solely as functi...
An explicit expression is provided for the characteristic polynomial of a matrix M of the form M = D...
In two recent publications [1], [2] it was shown that for matrices of (real) quaternion elements an ...
summary:We discuss the eigenvalue problem in the max-plus algebra. For a max-plus square matrix, the...
AbstractMaking use of an elementary fact on invariant subspace and determinant of a linear map and t...
Faddeev's method of computing the eigenvalues and eigenvectors of a matrix is presented and complete...
In this paper, we present an algorithm for computing the characteristic polynomial of the pencil (A ...
International audienceThe only invertible matrices in tropical algebra are diagonal matrices, permut...
Palindromic polynomial eigenvalue problems and related classes of structured eigenvalue problems are...
AbstractLet A∈Fn×n, B∈Fn×t, where F is an arbitrary field. We describe the possible characteristic p...
In this paper, we investigated the behavior of the characteristic polynomials of a one-parameter fam...
Supertropical matrix theory was investigated in [6], whose terminology we follow. In this work we in...
AbstractWe investigate powers of supertropical matrices, with special attention to the role of the c...
We investigate powers of supertropical matrices, with special attention to the role of the co- e±cie...
Using a determinant identity, we establish an algebraic relation between the characteristic polynomi...
AbstractThe coefficients of the characteristic polynomial of a matrix are expressed solely as functi...
An explicit expression is provided for the characteristic polynomial of a matrix M of the form M = D...
In two recent publications [1], [2] it was shown that for matrices of (real) quaternion elements an ...
summary:We discuss the eigenvalue problem in the max-plus algebra. For a max-plus square matrix, the...
AbstractMaking use of an elementary fact on invariant subspace and determinant of a linear map and t...
Faddeev's method of computing the eigenvalues and eigenvectors of a matrix is presented and complete...
In this paper, we present an algorithm for computing the characteristic polynomial of the pencil (A ...
International audienceThe only invertible matrices in tropical algebra are diagonal matrices, permut...
Palindromic polynomial eigenvalue problems and related classes of structured eigenvalue problems are...
AbstractLet A∈Fn×n, B∈Fn×t, where F is an arbitrary field. We describe the possible characteristic p...
In this paper, we investigated the behavior of the characteristic polynomials of a one-parameter fam...