AbstractThe ray of a complex number a is either 0 or a/|a| depending on whether a is 0 or nonzero. The ray pattern of a complex matrix A, denoted by ray(A), is the matrix obtained by replacing each entry of A with its ray. The determinantal region of a square matrix A, denoted by RA, is the set of the determinants of all the complex matrices with the same ray pattern as A. A connected component of the set RA⧹{0} is called a determinantal regional component of A. The number of determinantal regional components of RA is denoted by nR(A). It was proved in Shao et al. [Jia-Yu Shao, Yue Liu, Ling-Zhi Ren, The inverse problems of the determinantal regions of ray pattern and complex sign pattern matrices, Linear Algebra Appl. 416 (2006) 835–843] t...
AbstractLet M=(mij) be an n×n square matrix of integers. For our purposes, we can assume without los...
This thesis presents how Coates and Konig digraphs were applied to determinants. Each of these digra...
Abstract Let M n be the algebra of all n × n complex matrices. If φ : M n → M n is a surjective mapp...
AbstractThe ray of a complex number a is either 0 or a/|a| depending on whether a is 0 or nonzero. T...
AbstractWe study the inverse problems for the determinantal regions RA of the ray pattern matrices a...
AbstractIn [C.A. Eschenbach, F.J. Hall, Z. Li, From real to complex sign pattern matrices, Bull. Aus...
AbstractThis paper studies the determinantal regions SA of complex sign pattern matrices and the det...
AbstractRay nonsingular matrices are generalizations of sign nonsingular matrices. The problem of ch...
AbstractRay solvable linear systems and ray S2NS matrices are complex generalizations of the sign so...
Abstract. A determinant of rectangular 2 × n matrix is considered. Some of its properties in connect...
AbstractLet A be a complex n×n matrix and let SO(n) be the group of real orthogonal matrices of dete...
Let n, r be integers with 0 ≤ r ≤ n − 1. An n × n matrix A is called r-partly decomposable if it con...
Let M = (m_{ij}) be an nxn square matrix of integers. For our purposes, we can assume without loss ...
AbstractA complex matrix A is ray-nonsingular if det(X ∘ A) ≠ 0 for every matrix X with positive ent...
AbstractLet Mn be the algebra of all n×n complex matrices. If φ:Mn→Mn is a surjective mapping satisf...
AbstractLet M=(mij) be an n×n square matrix of integers. For our purposes, we can assume without los...
This thesis presents how Coates and Konig digraphs were applied to determinants. Each of these digra...
Abstract Let M n be the algebra of all n × n complex matrices. If φ : M n → M n is a surjective mapp...
AbstractThe ray of a complex number a is either 0 or a/|a| depending on whether a is 0 or nonzero. T...
AbstractWe study the inverse problems for the determinantal regions RA of the ray pattern matrices a...
AbstractIn [C.A. Eschenbach, F.J. Hall, Z. Li, From real to complex sign pattern matrices, Bull. Aus...
AbstractThis paper studies the determinantal regions SA of complex sign pattern matrices and the det...
AbstractRay nonsingular matrices are generalizations of sign nonsingular matrices. The problem of ch...
AbstractRay solvable linear systems and ray S2NS matrices are complex generalizations of the sign so...
Abstract. A determinant of rectangular 2 × n matrix is considered. Some of its properties in connect...
AbstractLet A be a complex n×n matrix and let SO(n) be the group of real orthogonal matrices of dete...
Let n, r be integers with 0 ≤ r ≤ n − 1. An n × n matrix A is called r-partly decomposable if it con...
Let M = (m_{ij}) be an nxn square matrix of integers. For our purposes, we can assume without loss ...
AbstractA complex matrix A is ray-nonsingular if det(X ∘ A) ≠ 0 for every matrix X with positive ent...
AbstractLet Mn be the algebra of all n×n complex matrices. If φ:Mn→Mn is a surjective mapping satisf...
AbstractLet M=(mij) be an n×n square matrix of integers. For our purposes, we can assume without los...
This thesis presents how Coates and Konig digraphs were applied to determinants. Each of these digra...
Abstract Let M n be the algebra of all n × n complex matrices. If φ : M n → M n is a surjective mapp...