AbstractIf A is an n × n matrix over an infinite field F, k is a positive integer, and R is an arbitrary n × k matrix R1R2 over the field F, where R2 is a nonsingular k × k matrix, we give a necessary and sufficient condition which guarantees that the similarity class of A contains [R, S] for some n × (n − k) matrix S over the field F. This result extends a result of Barría and Halmos
AbstractLet ƒ = ƒ(X) = ƒ(X1,..., Xn,) ∈ k[X1,...,Xn] be a non-singular form of degree d ≥ 3 over the...
Graduation date: 1965Row equivalence, equivalence, and similarity of matrices are studied; some prob...
AbstractLet ƒ = ƒ(X) = ƒ(X1,..., Xn,) ∈ k[X1,...,Xn] be a non-singular form of degree d ≥ 3 over the...
AbstractMatrix B∈Mn(C) is C-S equivalent (resp. C-E equivalent) to A∈Mn(C) if B is both congruent an...
AbstractWe obtain a set of polynomials in A, A∗ (A an n × n matrix) whose traces completely characte...
Let R be a (commutative) local principal ideal ring of length two, for example, the ring R = Z/p(2)Z...
AbstractLet s be the map Mn → Rn, where Mn is the space of n × n complex matrices, which assigns to ...
AbstractThe paper studies the problem on matrix similarity over a commutative rings. The conditions ...
AbstractLet K be a subfield of C. We give a criterion for a nonsingular matrix A in MmK to have an n...
AbstractLet s be the map Mn → Rn, where Mn is the space of n × n complex matrices, which assigns to ...
AbstractMatrix B∈Mn(C) is C-S equivalent (resp. C-E equivalent) to A∈Mn(C) if B is both congruent an...
AbstractIf M and N are in M(n,C) and have the same rank, then there exist P and Q in GL(n,C) such th...
We study the possibilities for the number of nontrivial invariant polynomials of the product of two ...
AbstractLet A, B be n × n matrices with entries in a field F. Our purpose is to show the following t...
AbstractLet F be a field, Mn(F) the algebra of n×n matrices over F, and A∈Mn(F) with trace(A)0. The...
AbstractLet ƒ = ƒ(X) = ƒ(X1,..., Xn,) ∈ k[X1,...,Xn] be a non-singular form of degree d ≥ 3 over the...
Graduation date: 1965Row equivalence, equivalence, and similarity of matrices are studied; some prob...
AbstractLet ƒ = ƒ(X) = ƒ(X1,..., Xn,) ∈ k[X1,...,Xn] be a non-singular form of degree d ≥ 3 over the...
AbstractMatrix B∈Mn(C) is C-S equivalent (resp. C-E equivalent) to A∈Mn(C) if B is both congruent an...
AbstractWe obtain a set of polynomials in A, A∗ (A an n × n matrix) whose traces completely characte...
Let R be a (commutative) local principal ideal ring of length two, for example, the ring R = Z/p(2)Z...
AbstractLet s be the map Mn → Rn, where Mn is the space of n × n complex matrices, which assigns to ...
AbstractThe paper studies the problem on matrix similarity over a commutative rings. The conditions ...
AbstractLet K be a subfield of C. We give a criterion for a nonsingular matrix A in MmK to have an n...
AbstractLet s be the map Mn → Rn, where Mn is the space of n × n complex matrices, which assigns to ...
AbstractMatrix B∈Mn(C) is C-S equivalent (resp. C-E equivalent) to A∈Mn(C) if B is both congruent an...
AbstractIf M and N are in M(n,C) and have the same rank, then there exist P and Q in GL(n,C) such th...
We study the possibilities for the number of nontrivial invariant polynomials of the product of two ...
AbstractLet A, B be n × n matrices with entries in a field F. Our purpose is to show the following t...
AbstractLet F be a field, Mn(F) the algebra of n×n matrices over F, and A∈Mn(F) with trace(A)0. The...
AbstractLet ƒ = ƒ(X) = ƒ(X1,..., Xn,) ∈ k[X1,...,Xn] be a non-singular form of degree d ≥ 3 over the...
Graduation date: 1965Row equivalence, equivalence, and similarity of matrices are studied; some prob...
AbstractLet ƒ = ƒ(X) = ƒ(X1,..., Xn,) ∈ k[X1,...,Xn] be a non-singular form of degree d ≥ 3 over the...
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