Solving a family of permutation problems on 0-1 matrices
Solving Confluent Vandermonde Systems of Hermite Type.
Solving linear systems with a Levinson-like solver.
Solving systems of two–sided (max, min)–linear equations
A finite iteration method for solving systems of (max, min)-linear equations is presented. The systems have variables on both sides of the equations. The algorithm has polynomial complexity and may be extended to wider classes of equations with a similar structure.
Some Basic Properties of Some Special Matrices. Part III
This article describes definitions of subsymmetric matrix, anti-subsymmetric matrix, central symmetric matrix, symmetry circulant matrix and their basic properties.
Some bounds for the spectral radius of the Hadamard product of matrices.
Some characterizations of totally nonpositive (totally negative) matrices.
Some estimates in the theory of non-negative matrices
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 new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix
Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem. It is proved that these sequences are monotone increasing, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some known results.
Some new lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse.
Some new results on determinantal inequalities and applications.
Some Properties of Mittag-Leffler Functions and Matrix-Variate Analogues: A Statistical Perspective
Mathematical Subject Classification 2010:26A33, 33E99, 15A52, 62E15.Mittag-Leffler functions and their generalizations appear in a large variety of problems in different areas. When we move from total differential equations to fractional equations Mittag-Leffler functions come in naturally. Fractional reaction-diffusion problems in physical sciences and general input-output models in other disciplines are some of the examples in this direction. Some basic properties of Mittag-Leffler functions are...
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,...
Some results on eigenvalues of nonnegative matrices
Some results on matrix partial orderings and reverse order law.