Schur complements of diagonally dominant matrices
Schur complements of generally diagonally dominant matrices and a criterion for irreducibility of matrices.
Shells of matrices in indefinite inner product spaces.
Solution of the problem of optimal diagonal scaling for quasi-real Hermitian positive-definite matrices.
Solving Confluent Vandermonde Systems of Hermite Type.
Solving linear systems with a Levinson-like solver.
Some inequalities for commutators and an application to spectral variation.
Some inequalities for spectral variations.
Some inequalities for sums of nonnegative definite matrices in quaternions.
Some properties of the -adic Vandermonde matrix.
Some remarks on generalized inverses of conjugate EP matrix.
Some remarks on operators preserving partial orders of matrices
Stępniak [Linear Algebra Appl. 151 (1991)] considered the problem of equivalence of the Löwner partial order of nonnegative definite matrices and the Löwner partial order of squares of those matrices. The paper was an important starting point for investigations of the problem of how an order between two matrices A and B from different sets of matrices can be preserved for the squares of the corresponding matrices A² and B², in the sense of the Löwner partial ordering, the star partial ordering,...
Spectral properties of sign symmetric matrices.
Statistically strongly regular matrices and some core theorems.
Structure preserving algorithms for perplectic eigenproblems.
Structured condition numbers and backward errors in scalar product spaces.
Structured conditioning of matrix functions.
Structured Jordan canonical forms for structured matrices that are Hermitian, skew Hermitian or unitary with respect to indefinite inner products.
Structured tools for structured matrices.
Subdirect sums of doubly diagonally dominant matrices.