Results 41 to 50 of about 95 (94)

Consimilarity and quaternion matrix equations AX −^X B = C, X − A^X B = C

Special Matrices, 2014
L. Huang [Consimilarity of quaternion matrices and complex matrices, Linear Algebra Appl. 331(2001) 21–30] gave a canonical form of a quaternion matrix with respect to consimilarity transformationsA ↦ ˜S−1AS in which S is a nonsingular quaternion matrix ...
Klimchuk Tatiana, Sergeichuk Vladimir V.
doaj   +1 more source

HIGHER-RANK NUMERICAL RANGES AND DILATIONS [PDF]

, 2008
. For any n-by-n complex matrix A and any k, 1 ≤ k ≤ n, let Λ k(A) = {λ ∈ C: X ∗ AX = λI k for some n-by-k X satisfying X ∗ X = I k} be its rank-k numerical range.
Hwa-long Gau, Chi-kwong Li, Pei Yuan Wu
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

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

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

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

Towards finding equalities involving mixed products of the Moore-Penrose and group inverses by matrix rank methodology

Demonstratio Mathematica
Given a square matrix AA, we are able to construct numerous equalities involving reasonable mixed operations of AA and its conjugate transpose A∗{A}^{\ast }, Moore-Penrose inverse A†{A}^{\dagger } and group inverse A#{A}^{\#}. Such kind of equalities can
Tian Yongge
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

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