AbstractLet K be a subfield of C. We give a criterion for a nonsingular matrix A in MmK to have an nth root in MmK. The number of similarity classes of nth roots of A is given for K = R. Further we indicate which matrices A in MmK have infinitely many nth roots in MmK
AbstractThe concept of a multiple root of matrix polynomial L(λ) is introduced, and associated spect...
AbstractThis paper studies the existence, over algebraically closed fields, of a matrix [A1 A2], whe...
AbstractWe show that any matrix perturbation of an n×n nilpotent complex matrix is similar to a matr...
AbstractLet K be a subfield of C. We give a criterion for a nonsingular matrix A in MmK to have an n...
AbstractA matrix A ϵ Mn(F), F an arbitrary field with characteristic p (not necessarily positive), i...
A new necessary and sufficient condition for the existence of an m-th root of a nilpotent matrix in ...
A matrix S is said to be an nth root of a matrix A if Sn = A, where n is a positive integer greater ...
AbstractWe study the matrix equation Xn=A in M2(Z) for given A and n ϵ N. If A ≠ aI for integer a, t...
AbstractLet F be a field, and Mn(F) the algebra of n × n matrices over F. It is in general a very di...
AbstractFor an m × n matrix polynomial P, λ ϵ c is called an eigenvalue if there exists 0 ≠ x ϵ cn s...
AbstractThis paper is concerned with the determination of algebraic formulae giving all the solution...
We find conditions on an n-square matrix A, over a field F of characteristic +2, that are equivalent...
In linear algebra, the minimal polynomial of an n-by-n matrix A over a field F is the monic polynomi...
AbstractA nonsingular matrix A has period n if An = I but Ak ≠ I for 0 < k < n. We investigate the n...
AbstractLet Mn be the algebra of n×n matrices over an algebraically closed field of characteristic z...
AbstractThe concept of a multiple root of matrix polynomial L(λ) is introduced, and associated spect...
AbstractThis paper studies the existence, over algebraically closed fields, of a matrix [A1 A2], whe...
AbstractWe show that any matrix perturbation of an n×n nilpotent complex matrix is similar to a matr...
AbstractLet K be a subfield of C. We give a criterion for a nonsingular matrix A in MmK to have an n...
AbstractA matrix A ϵ Mn(F), F an arbitrary field with characteristic p (not necessarily positive), i...
A new necessary and sufficient condition for the existence of an m-th root of a nilpotent matrix in ...
A matrix S is said to be an nth root of a matrix A if Sn = A, where n is a positive integer greater ...
AbstractWe study the matrix equation Xn=A in M2(Z) for given A and n ϵ N. If A ≠ aI for integer a, t...
AbstractLet F be a field, and Mn(F) the algebra of n × n matrices over F. It is in general a very di...
AbstractFor an m × n matrix polynomial P, λ ϵ c is called an eigenvalue if there exists 0 ≠ x ϵ cn s...
AbstractThis paper is concerned with the determination of algebraic formulae giving all the solution...
We find conditions on an n-square matrix A, over a field F of characteristic +2, that are equivalent...
In linear algebra, the minimal polynomial of an n-by-n matrix A over a field F is the monic polynomi...
AbstractA nonsingular matrix A has period n if An = I but Ak ≠ I for 0 < k < n. We investigate the n...
AbstractLet Mn be the algebra of n×n matrices over an algebraically closed field of characteristic z...
AbstractThe concept of a multiple root of matrix polynomial L(λ) is introduced, and associated spect...
AbstractThis paper studies the existence, over algebraically closed fields, of a matrix [A1 A2], whe...
AbstractWe show that any matrix perturbation of an n×n nilpotent complex matrix is similar to a matr...
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