An improvement of Kaplansky's lemma on locally algebraic operators
An inclusion region for the field of values of a doubly stochastic matrix based on its graph.
An inclusion region for the field of values of a doubly stochastic matrix based on its graph. (Short Communication).
An inequality for determinants with real entries
An Inequality for Matrices
An inequality in Euclidean spaces.
An infinite companion matrix
An infinite dimensional approach to the third fundamental theorem of Lie.
An integral representation of some hypergeometric functions.
An invariant of matrices.
An inverse eigenvalue problem for damped gyroscopic second-order systems.
An inverse eigenvalue problem of Hermite-Hamilton matrices in structural dynamic model updating.
An inverse matrix formula in the right-quantum algebra.
An inverse matrix of an upper triangular matrix can be lower triangular
In this note we explain why the group of n×n upper triangular matrices is defined usually over commutative ring while the full general linear group is defined over any associative ring.
An inverse quadratic eigenvalue problem for damped structural systems.
An inversion formula, matrix functions, combinatorial identities and graphs
An iterative algorithm for computing the cycle mean of a Toeplitz matrix in special form
The paper presents an iterative algorithm for computing the maximum cycle mean (or eigenvalue) of triangular Toeplitz matrix in max-plus algebra. The problem is solved by an iterative algorithm which is applied to special cycles. These cycles of triangular Toeplitz matrices are characterized by sub-partitions of .
An iterative algorithm for testing solvability of max-min interval systems
This paper is dealing with solvability of interval systems of linear equations in max-min algebra. Max-min algebra is the 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 and T5 solvability and give necessary and...
An Iterative Method for the Matrix Principal n-th Root
In this paper we give an iterative method to compute the principal n-th root and the principal inverse n-th root of a given matrix. As we shall show this method is locally convergent. This method is analyzed and its numerical stability is investigated.
An optimal matching problem
Given two measured spaces and , and a third space , given two functions and , we study the problem of finding two maps and such that the images and coincide, and the integral is maximal. We give condition on and for which there is a unique solution.