On a generalization of the Van Der Waerden conjecture
On a Generalized Linear Boundary Value Problem
On a geometric property of positive definite matrices cone.
On a group of mixed-type reverse-order laws for generalized inverses of a triple matrix product with applications.
On a -polar decomposition of a bounded operator and matrices of -symmetric and -skew-symmetric operators.
On a mean value theorem in the class of Herglotz functions and its applications.
On a new class of structured matrices related to the discrete skew-self-adjoint Dirac systems.
On a nonnegative irreducible matrix that is similar to a positive matrix
Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.
On a question of Hills concerning co-transposers
On a result of Williamson.
On a Schur complement inequality for the Hadamard product of certain totally nonnegative matrices.
On a singular set for the restriction of the characteristic map to a linear subspace of
On a strong form of a conjecture of Boyle and Handelman.
On a surprising relation between the Marchenko–Pastur law, rectangular and square free convolutions
In this paper, we prove a result linking the square and the rectangular R-transforms, the consequence of which is a surprising relation between the square and rectangular versions the free additive convolutions, involving the Marchenko–Pastur law. Consequences on random matrices, on infinite divisibility and on the arithmetics of the square versions of the free additive and multiplicative convolutions are given.
On a System of Functional Equations
On a theorem by Kronecker. (Short Communication).
On a theorem of Everitt, Thompson, and de Pillis
On a Theorem of Gersgorin.
On a variational problem for an infinite particle system in a random medium.
On an algorithm for testing T4 solvability of max-plus interval systems
In this paper, we shall deal with the solvability of interval systems of linear equations in max-plus algebra. Max-plus algebra is an algebraic structure in which classical addition and multiplication are replaced by and , where , . The notation represents an interval system of linear equations, where and are given interval matrix and interval vector, respectively. We can define several types of solvability of interval systems. In this paper, we define the T4 solvability and give an algorithm...