Results 41 to 50 of about 538 (78)

Twisted immanant and matrices with anticommuting entries

, 2015
This article gives a new matrix function named "twisted immanant," which can be regarded as an analogue of the immanant. This is defined for each self-conjugate partition through a "twisted" analogue of the irreducible character of the symmetric group ...
Itoh, Minoru
core   +1 more source

Canonical forms, higher rank numerical range, convexity, totally isotropic subspace, matrix equations

, 2008
Results on matrix canonical forms are used to give a complete description of the higher rank numerical range of matrices arising from the study of quantum error correction.
Li, Chi-Kwong, Sze, Nung-Sing
core   +1 more source

On the Consimilarity of Split Quaternions and Split Quaternion Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In his regard, we examine the solvability conditions and general solutions of the equations and in split quaternions and split quaternion ...
Kösal Hidayet Hüda, Akyiğit Mahmut, Tosun Murat   +2 more
doaj   +1 more source

Monotone matrix functions of successive orders [PDF]

, 2004
This paper extends a result obtained by Wigner and von Neumann. We prove that a non-constant real-valued function, f(x), in C^3(I) where I is an interval of the real line, is a monotone matrix function of order n+1 on I if and only if a related, modified
Nayak, Suhas
core  

Cramer's rule for a class of coupled Sylvester commutative quaternion matrix equations

Demonstratio Mathematica
In this article, based on the real representation and Kronecker product, Cramer’s rule for a class of coupled Sylvester commutative quaternion matrix equations is studied and its expression is obtained.
Cai Xiaomin, Ke Yifen, Ma Changfeng
doaj   +1 more source

Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
doaj   +1 more source

The GPBiCOR Method for Solving the General Matrix Equation and the General Discrete-Time Periodic Matrix Equations

IEEE Access, 2018
This paper is concerned with the numerical solutions of the general matrix equation $\sum ^{p}_{i=1}{\sum ^{s_{i}}_{j=1} }\,\,{A_{ij}X_{i}}{B_{ij}} = C$ , and the general discrete-time periodic matrix equations $\sum ^{p}_{i=1}\sum ^{s_{i}}_{j=1} (A_{i,
Basem I. Selim, Lei Du, Bo Yu
doaj   +1 more source

Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equations

, 1993
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 301-309, 1993.
Fortunata Liguori, Giulia Martini, Salvatore Sessa   +2 more
wiley   +1 more source

Distributive and Dual Distributive Elements in Hyperlattices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we introduce and study distributive elements, dual distributive elements in hyperlattices, and prove that these elements forms ∧-semi lattice and ∨-semi hyperlattice, respectively.
Ameri Reza, Amiri-Bideshki M., Hoskova-Mayerova Sarka, Saeid A. B.   +3 more
doaj   +1 more source

Analytical solution of a class of coupled second order differential‐difference equations

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 385-396, 1993.
L. Jódar, J. A. Martin Alustiza
wiley   +1 more source