Equivalence of von Neumann regular and idempotent matrices
Estimates of determinants and of the elements of the inverse matrix under conditions of Ostrovskii theorem.
Explicit inverse of an interval matrix with unit midpoint.
Explicit inverse of the Pascal matrix plus one.
Explicit inverses of several tridiagonal matrices.
Explicit solutions of infinite linear systems associated with group inverse endomorphisms
The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms. As particular results, we provide different properties of the group inverse and we characterize EP endomorphisms of arbitrary vector spaces from the coincidence of the group inverse and the Moore-Penrose inverse.
Fast computing of the Moore-Penrose inverse matrix.
Focal power.
Formulae for General Reproductive Solutions of Certain Matrix Equations
Forty necessary and sufficient conditions for regularity of interval matrices: A survey.
Further results on the reverse order law for -inverse and -inverse of a matrix product.
Generalizations of Milne’s -Chu-Vandermonde summation
We derive two identities for multiple basic hyper-geometric series associated with the unitary group. In order to get the two identities, we first present two known -exponential operator identities which were established in our earlier paper. From the two identities and combining them with the two -Chu-Vandermonde summations established by Milne, we arrive at our...
Generalizations of Nekrasov matrices and applications
In this paper we present a nonsingularity result which is a generalization of Nekrasov property by using two different permutations of the index set. The main motivation comes from the following observation: matrices that are Nekrasov matrices up to the same permutations of rows and columns, are nonsingular. But, testing all the permutations of the index set for the given matrix is too expensive. So, in some cases, our new nonsingularity criterion allows us to use the results already calculated...
Generalized inverses of bordered matrices.
Generalized two point boundary value problems. Existence and uniqueness.
Generating functions and Bézoutians
Using the idea of the generating function of a matrix in an extended sense we establish a Bezoutian type formula for a matrix satisfying an intertwining relation of the form . In the particular case of classical generating functions this formula gives a simple proof of Lander’s theorem on the inverse of a Hankel matrix.
Group inverse for the block matrix with two identical subblocks over skew fields.
Group inverses for matrices over a Bézout domain.
Group inverses of matrices with path graphs.
Hankel-matrix approach to invertibility of linear multivariable systems