A Numerical Procedure for Computing the Moore-Penrose Inverse.
A parallel algorithm for computing the group inverse via Perron complementation.
A product integral representation of the generalized inverse
À propos de l'inversion des matrices généralisées de Jacobi.
A remark on common solutions of a pair of matrix equations.
A remark on cyclic tridiagonal matrices
A remark on the eigenvalues of generalized circulants
A representation of the minimal -norm solution.
A stronger version of matrix convexity as applied to functions of Hermitian matrices.
A survey of generalized matrix inverses
Additional results on index splittings for Drazin inverse solutions of singular linear systems.
Algebraic relations between the total least squares and least squares problems with more than one solution.
All about the ⊥ with its applications in the linear statistical models
For an n x m real matrix A the matrix A⊥ is defined as a matrix spanning the orthocomplement of the column space of A, when the orthogonality is defined with respect to the standard inner product ⟨x, y⟩ = x'y. In this paper we collect together various properties of the ⊥ operation and its applications in linear statistical models. Results covering the more general inner products are also considered. We also provide a rather extensive list of references
An algebraic approach for solving boundary value matrix problems: existence, uniqueness and closed form solutions.
In this paper we show that in an analogous way to the scalar case, the general solution of a non homogeneous second order matrix differential equation may be expressed in terms of the exponential functions of certain matrices related to the corresponding characteristic algebraic matrix equation. We introduce the concept of co-solution of an algebraic equation of the type X^2 + A1.X + A0 = 0, that allows us to obtain a method of the variation of the parameters for the matrix case and further to find...
An algorithm for the inversion of partitioned matrices
An application of Halls' theorems to matrices
An explicit factorization of totally positive generalized Vandermonde matrices avoiding Schur functions.
An extension of the perturbation analysis for the Drazin inverse.
An Inequality for Matrices
An infinite dimensional approach to the third fundamental theorem of Lie.