AbstractThis paper studies the solutions of complex matrix equations X−AXB=C and X−AXB=C, and obtains explicit solutions of the equations by the method of characteristic polynomial and a method of real representation of a complex matrix respectively
AbstractLet m be a positive integer, let r be a prime such that 2 is a primitive root modulo rm, and...
AbstractLet Pn(x)=xm+pm−1(n)xm−1+⋯+p1(n)x+pm(n) be a parametrized family of polynomials of a given d...
AbstractMirsky proved that, for the existence of a complex matrix with given eigenvalues and diagona...
AbstractIn a previous paper we have determined a generic formula for the polynomial solution familie...
AbstractThe numerical-analytic method is applied to a class of nonlinear differential-algebraic syst...
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...
AbstractLet Mn be the space of all n×n complex matrices and Tn the subset of Mn consisting of all up...
AbstractSome new lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and ...
AbstractLet A be n×n matrix of rank r. Then xn−r divides the characteristic polynomial det(xI−A) of ...
AbstractWe consider a fourth-order eigenvalue problem on a semi-infinite strip which arises in the s...
AbstractLet K be an arbitrary field of characteristic zero, Pn:=K[x1,…,xn] be a polynomial algebra, ...
AbstractThe solution of the linear operator equation:An-1X+An-2XB+⋯+AXBn-2+XBn-1=Y is given by X=((s...
AbstractWe give a refinement of the linear independence criterion over function fields developed by ...
AbstractThere have been a lot of investigations about stability of the linear scalar functional diff...
In this paper, we derive the characteristic polynomial for a family of anti-tridiagonal 2-Hankel mat...
AbstractLet m be a positive integer, let r be a prime such that 2 is a primitive root modulo rm, and...
AbstractLet Pn(x)=xm+pm−1(n)xm−1+⋯+p1(n)x+pm(n) be a parametrized family of polynomials of a given d...
AbstractMirsky proved that, for the existence of a complex matrix with given eigenvalues and diagona...
AbstractIn a previous paper we have determined a generic formula for the polynomial solution familie...
AbstractThe numerical-analytic method is applied to a class of nonlinear differential-algebraic syst...
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...
AbstractLet Mn be the space of all n×n complex matrices and Tn the subset of Mn consisting of all up...
AbstractSome new lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and ...
AbstractLet A be n×n matrix of rank r. Then xn−r divides the characteristic polynomial det(xI−A) of ...
AbstractWe consider a fourth-order eigenvalue problem on a semi-infinite strip which arises in the s...
AbstractLet K be an arbitrary field of characteristic zero, Pn:=K[x1,…,xn] be a polynomial algebra, ...
AbstractThe solution of the linear operator equation:An-1X+An-2XB+⋯+AXBn-2+XBn-1=Y is given by X=((s...
AbstractWe give a refinement of the linear independence criterion over function fields developed by ...
AbstractThere have been a lot of investigations about stability of the linear scalar functional diff...
In this paper, we derive the characteristic polynomial for a family of anti-tridiagonal 2-Hankel mat...
AbstractLet m be a positive integer, let r be a prime such that 2 is a primitive root modulo rm, and...
AbstractLet Pn(x)=xm+pm−1(n)xm−1+⋯+p1(n)x+pm(n) be a parametrized family of polynomials of a given d...
AbstractMirsky proved that, for the existence of a complex matrix with given eigenvalues and diagona...
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