A 1-norm bound for inverses of triangular matrices with monotone entries.
A bound for the Moore-Penrose pseudoinverse of a matrix
A bound for the spectral variation of two matrices.
A characterization of strong regularity of interval matrices.
A class of inverse -matrices.
A Generalization of Cayley's Theorem.
A generalization of Moore-Penrose biorthogonal systems.
A Hadamard product involving inverse-positive matrices
In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard product A ◦ B−1 is again an inverse-positive matrix.
A new equivalent condition of the reverse order law for -inverses of multiple matrix products.
A new proof of the Millinen-Akdeniz theorem.
A simple proof is given for a theorem by Milliken and Akdeniz (1977) about the difference of the Moore-Penrose inverses of two positive semi-definite matrices.
A new rank formula for idempotent matrices with applications
It is shown that where is idempotent, has full row rank and . Some applications of the rank formula to generalized inverses of matrices are also presented.
A new solvable condition for a pair of generalized Sylvester equations.
A note on Ahlers and Lewis' representation of the best linear unbiased estimator in the general Gauss-Markoff model
A note on computing the generalized inverse of a matrix .
A note on Newton and Newton-like inequalities for -matrices and for Drazin inverses of -matrices.
A note on the reverse order laws for - and -inverses of multiple matrix products.
A Note on two Indices of Semigroup Elements
A note on ultrametric matrices
It is proved in this paper that special generalized ultrametric and special matrices are, in a sense, extremal matrices in the boundary of the set of generalized ultrametric and matrices, respectively. Moreover, we present a new class of inverse -matrices which generalizes the class of matrices.
A novel interpretation of least squares solution.
A Numerical Procedure for Computing the Moore-Penrose Inverse.