On the number of invariant polynomials of matrix commutators
- Andrade Martins, Enide
- Silva, Fernando C.
DOIAbstract
AbstractWe study the possible numbers of nonconstant invariant polynomials of the matrix commutator XA − AX, when X varies
AbstractWe study the possible numbers of nonconstant invariant polynomials of the matrix commutator XA − AX, when X varies
AbstractWe study the number of invariant polynomials of [Ai, j], i, j ϵ {1, 2}, when the submatrices...
AbstractWe study the number of invariant polynomials of [Ai,j],i,j∈{1,2}, when the submatrices A1,1,...
We characterize the eigenvalues of [X,A]=XA−AX, where A is an n by n fixed matrix and X runs over th...
We study the possible numbers of nonconstant invariant polynomials of the matrix commutator XA-AX; w...
AbstractWe study the possible numbers of nonconstant invariant polynomials of the matrix commutator ...
AbstractWe study the possible eigenvalues, ranks and numbers of nonconstant invariant polynomials of...
doi:10.1016/S0024-3795(00)00334-7We study the possible eigenvalues, ranks and numbers of nonconstant...
AbstractConsider a n×n matrix partitioned into k×k blocks: C=[Ci,j], where C1,1,…,Ck,k are square. T...
We study the possible numbers of nonconstant invariant polynomials of the matrix commutator XA - AX,...
Denote by [X, Y] the additive commutator XY - YX of two square matrices X, Y over a field F. In a pr...
AbstractDenote by [X,Y] the additive commutator XY−YX of two square matrices X, Y over a field F. In...
AbstractLet F be a field. If A is an n×n matrix over F, we denote by i(A) the number of invariant po...
We study the possibilities for the number of nontrivial invariant polynomials of the product of two ...
AbstractLet F be an algebraically closed field. This paper describes the possible numbers of noncons...
Let F be an algebraically closed field. This paper describes the possible numbers of nonconstant inv...
AbstractWe study the number of invariant polynomials of [Ai, j], i, j ϵ {1, 2}, when the submatrices...
AbstractWe study the number of invariant polynomials of [Ai,j],i,j∈{1,2}, when the submatrices A1,1,...
We characterize the eigenvalues of [X,A]=XA−AX, where A is an n by n fixed matrix and X runs over th...
We study the possible numbers of nonconstant invariant polynomials of the matrix commutator XA-AX; w...
AbstractWe study the possible numbers of nonconstant invariant polynomials of the matrix commutator ...
AbstractWe study the possible eigenvalues, ranks and numbers of nonconstant invariant polynomials of...
doi:10.1016/S0024-3795(00)00334-7We study the possible eigenvalues, ranks and numbers of nonconstant...
AbstractConsider a n×n matrix partitioned into k×k blocks: C=[Ci,j], where C1,1,…,Ck,k are square. T...
We study the possible numbers of nonconstant invariant polynomials of the matrix commutator XA - AX,...
Denote by [X, Y] the additive commutator XY - YX of two square matrices X, Y over a field F. In a pr...
AbstractDenote by [X,Y] the additive commutator XY−YX of two square matrices X, Y over a field F. In...
AbstractLet F be a field. If A is an n×n matrix over F, we denote by i(A) the number of invariant po...
We study the possibilities for the number of nontrivial invariant polynomials of the product of two ...
AbstractLet F be an algebraically closed field. This paper describes the possible numbers of noncons...
Let F be an algebraically closed field. This paper describes the possible numbers of nonconstant inv...
AbstractWe study the number of invariant polynomials of [Ai, j], i, j ϵ {1, 2}, when the submatrices...
AbstractWe study the number of invariant polynomials of [Ai,j],i,j∈{1,2}, when the submatrices A1,1,...
We characterize the eigenvalues of [X,A]=XA−AX, where A is an n by n fixed matrix and X runs over th...
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