AbstractLet F be any field and let B a matrix of Fq×p. Zaballa found necessary and sufficient conditions for the existence of a matrix A=[Aij]i,j∈{1,2}∈F(p+q)×(p+q) with prescribed similarity class and such that A21=B. For fields of characteristic different from 2, we obtain a finite step algorithm to construct A when it exists
AbstractGiven a field F, an integer n⩾1, and a matrix A∈Mn(F), are there polynomials f,g∈F[X], with ...
AbstractIf A is an n × n matrix over an infinite field F, k is a positive integer, and R is an arbit...
AbstractThis note is concerned with the following problem: For a given matrix A∈Cn×n and a vector a∈...
AbstractLet F be any field and let B a matrix of Fq×p. Zaballa found necessary and sufficient condit...
AbstractLet F be any field. Let A11 be a matrix of Fp×p and let f be a monic polynomial of F[x] of d...
AbstractWe give necessary and sufficient conditions for the existence of a matrix [A B], over a fiel...
AbstractThis paper studies the existence, over algebraically closed fields, of a matrix [A1 A2], whe...
AbstractWe say that A(λ) is λ-imbeddable in B(λ) whenever B(λ) is equivalent to a λ-matrix having A(...
AbstractWe give necessary and sufficient conditions for the existence of a matrix [A B], over a fiel...
AbstractWe solve the following problem proposed by Oliveira: Under what conditions does there exist ...
We study the possibilities for the number of nontrivial invariant polynomials of the product of two ...
AbstractWe present new sufficient conditions for the existence of a matrix with prescribed complemen...
AbstractThis paper gives necessary and sufficient conditions for the existence of a matrix [A1 A2], ...
AbstractIn this paper we present some new sufficient conditions for the existence of a square matrix...
AbstractThis paper studies the existence, over algebraically closed fields, of a matrix [A1 A2], whe...
AbstractGiven a field F, an integer n⩾1, and a matrix A∈Mn(F), are there polynomials f,g∈F[X], with ...
AbstractIf A is an n × n matrix over an infinite field F, k is a positive integer, and R is an arbit...
AbstractThis note is concerned with the following problem: For a given matrix A∈Cn×n and a vector a∈...
AbstractLet F be any field and let B a matrix of Fq×p. Zaballa found necessary and sufficient condit...
AbstractLet F be any field. Let A11 be a matrix of Fp×p and let f be a monic polynomial of F[x] of d...
AbstractWe give necessary and sufficient conditions for the existence of a matrix [A B], over a fiel...
AbstractThis paper studies the existence, over algebraically closed fields, of a matrix [A1 A2], whe...
AbstractWe say that A(λ) is λ-imbeddable in B(λ) whenever B(λ) is equivalent to a λ-matrix having A(...
AbstractWe give necessary and sufficient conditions for the existence of a matrix [A B], over a fiel...
AbstractWe solve the following problem proposed by Oliveira: Under what conditions does there exist ...
We study the possibilities for the number of nontrivial invariant polynomials of the product of two ...
AbstractWe present new sufficient conditions for the existence of a matrix with prescribed complemen...
AbstractThis paper gives necessary and sufficient conditions for the existence of a matrix [A1 A2], ...
AbstractIn this paper we present some new sufficient conditions for the existence of a square matrix...
AbstractThis paper studies the existence, over algebraically closed fields, of a matrix [A1 A2], whe...
AbstractGiven a field F, an integer n⩾1, and a matrix A∈Mn(F), are there polynomials f,g∈F[X], with ...
AbstractIf A is an n × n matrix over an infinite field F, k is a positive integer, and R is an arbit...
AbstractThis note is concerned with the following problem: For a given matrix A∈Cn×n and a vector a∈...
DOI
Add to ORKG