AbstractWe study the matrix equation Xn=A in M2(Z) for given A and n ϵ N. If A ≠ aI for integer a, then there are only finitely many solutions. An explicit algorithm is given to determine them. If A=aI there can be infinitely many solutions. For most A a complete classification of the solutions is given in Theorem 1, for the other matrices A an almost complete classification of the solutions is given in Theorem 2
AbstractLet Ax = B be a system of m × n linear equations with integer coefficients. Assume the rows ...
AbstractFor given matrices A∈Fm×m, B∈Fn×n, and C∈Fm×n over an arbitrary field F, the matrix equation...
Let A be a nilpotent matrix of index two, and consider the Yang–Baxter-like matrix equation AXA=XAX....
AbstractWe study the matrix equation Xn=A in M2(Z) for given A and n ϵ N. If A ≠ aI for integer a, t...
AbstractThis paper is concerned with the determination of algebraic formulae giving all the solution...
AbstractThis paper deals with the matrix equation f(X)=A, where A∈Cn×n is a given matrix, and ƒ is a...
AbstractWe study the matrix equation XA−AX=Xp in Mn(K) for 1<p<n. It is shown that every matrix solu...
The matrix equation f(X) = A, where f is an analytic function and A is a square matrix, is considere...
AbstractLet f be an analytic function defined on a complex domain Ω and A∈Mn(C). We assume that ther...
AbstractSimple necessary and sufficient conditions for the matrix equation X + ATX−1A = I to have a ...
AbstractLet N be the number of solutions of the equationx1m1+⋯+xnmn=ax1⋯xn over the finite field Fq=...
Abstract. The existence of non-trivial solutions X to matrix equations of the form F (X,A1,A2, · ·...
In a previous article by Aihua Li and Duane Randall, the existence of solutions to certain matrix eq...
AbstractThis paper studies the matrix equation Al + Al+k = Jn, where l,k are nonnegative integers, J...
AbstractIn this paper we study the matrix equation X=Q+A∗(X̂−C)−1A, where Q is an n×n positive defin...
AbstractLet Ax = B be a system of m × n linear equations with integer coefficients. Assume the rows ...
AbstractFor given matrices A∈Fm×m, B∈Fn×n, and C∈Fm×n over an arbitrary field F, the matrix equation...
Let A be a nilpotent matrix of index two, and consider the Yang–Baxter-like matrix equation AXA=XAX....
AbstractWe study the matrix equation Xn=A in M2(Z) for given A and n ϵ N. If A ≠ aI for integer a, t...
AbstractThis paper is concerned with the determination of algebraic formulae giving all the solution...
AbstractThis paper deals with the matrix equation f(X)=A, where A∈Cn×n is a given matrix, and ƒ is a...
AbstractWe study the matrix equation XA−AX=Xp in Mn(K) for 1<p<n. It is shown that every matrix solu...
The matrix equation f(X) = A, where f is an analytic function and A is a square matrix, is considere...
AbstractLet f be an analytic function defined on a complex domain Ω and A∈Mn(C). We assume that ther...
AbstractSimple necessary and sufficient conditions for the matrix equation X + ATX−1A = I to have a ...
AbstractLet N be the number of solutions of the equationx1m1+⋯+xnmn=ax1⋯xn over the finite field Fq=...
Abstract. The existence of non-trivial solutions X to matrix equations of the form F (X,A1,A2, · ·...
In a previous article by Aihua Li and Duane Randall, the existence of solutions to certain matrix eq...
AbstractThis paper studies the matrix equation Al + Al+k = Jn, where l,k are nonnegative integers, J...
AbstractIn this paper we study the matrix equation X=Q+A∗(X̂−C)−1A, where Q is an n×n positive defin...
AbstractLet Ax = B be a system of m × n linear equations with integer coefficients. Assume the rows ...
AbstractFor given matrices A∈Fm×m, B∈Fn×n, and C∈Fm×n over an arbitrary field F, the matrix equation...
Let A be a nilpotent matrix of index two, and consider the Yang–Baxter-like matrix equation AXA=XAX....
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