AbstractLet z be a complex variable and let A and B be constant n × n matrices with complex elements. It is shown that A + zB is invertible for all z in a deleted neighborhood of zero if and only if there exist constant n × n matrices such that XA + YB = I and AX + BY = I. A related result is the alternate necessary and sufficient condition that there exist constant X, Y such that XA + YB = I, YAXB = XBYA = 0 and YA is nilpotent
AbstractThe problem considered is the following. Given two square matrices A and Z, when does there ...
Let X(dagger) denotes the Moore-Penrose pseudoinverse of a matrix X. We study a number of situations...
Summary. In this paper the theory of invertibility of matrices of field elements (see e.g. [5], [6])...
AbstractLet z be a complex variable and let A and B be constant n × n matrices with complex elements...
AbstractLet A0, A1 be n × n matrices of complex numbers and let En be the vector space of n × 1 matr...
AbstractFor A,B∈Rm×n, let J=[A,B] be the set of all matrices C such that A≤C≤B, where the order is c...
AbstractGiven a pair of matrices (A,B)∈Rn×n×Rn×m with coefficients in a commutative ring we study th...
AbstractNew non-singularity and non-negative invertibility criteria for matrices are derived. They y...
AbstractFor complex matrices A and B there are inequalities related to the diagonal elements of AB a...
AbstractWe obtain new sufficient conditions for invertibility of an irreducible complex matrix. Rema...
[[abstract]]We obtain new sufficient conditions for invertibility of an irreducible complex matrix. ...
AbstractIt is well known that if A, B are square matrices of the same order such that I + AB is nons...
AbstractSuppose all invertible quadratic operators T are assumed to satisfy T2 + bT + I = 0. We show...
AbstractLet A0, A1 be n × n matrices of complex numbers and let En be the vector space of n × 1 matr...
it is shown that the invertibility of a Toeplitz matrix can be determined through the solvability of...
AbstractThe problem considered is the following. Given two square matrices A and Z, when does there ...
Let X(dagger) denotes the Moore-Penrose pseudoinverse of a matrix X. We study a number of situations...
Summary. In this paper the theory of invertibility of matrices of field elements (see e.g. [5], [6])...
AbstractLet z be a complex variable and let A and B be constant n × n matrices with complex elements...
AbstractLet A0, A1 be n × n matrices of complex numbers and let En be the vector space of n × 1 matr...
AbstractFor A,B∈Rm×n, let J=[A,B] be the set of all matrices C such that A≤C≤B, where the order is c...
AbstractGiven a pair of matrices (A,B)∈Rn×n×Rn×m with coefficients in a commutative ring we study th...
AbstractNew non-singularity and non-negative invertibility criteria for matrices are derived. They y...
AbstractFor complex matrices A and B there are inequalities related to the diagonal elements of AB a...
AbstractWe obtain new sufficient conditions for invertibility of an irreducible complex matrix. Rema...
[[abstract]]We obtain new sufficient conditions for invertibility of an irreducible complex matrix. ...
AbstractIt is well known that if A, B are square matrices of the same order such that I + AB is nons...
AbstractSuppose all invertible quadratic operators T are assumed to satisfy T2 + bT + I = 0. We show...
AbstractLet A0, A1 be n × n matrices of complex numbers and let En be the vector space of n × 1 matr...
it is shown that the invertibility of a Toeplitz matrix can be determined through the solvability of...
AbstractThe problem considered is the following. Given two square matrices A and Z, when does there ...
Let X(dagger) denotes the Moore-Penrose pseudoinverse of a matrix X. We study a number of situations...
Summary. In this paper the theory of invertibility of matrices of field elements (see e.g. [5], [6])...
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