Results 71 to 80 of about 3,138,968 (195)

The Re-nonnegative definite solutions to the matrix equation $AXB=C$ [PDF]

, 1998
summary:An $n\times n$ complex matrix $A$ is called Re-nonnegative definite (Re-nnd) if the real part of $x^{\ast } Ax$ is nonnegative for every complex $n$-vector $x$. In this paper criteria for a partitioned matrix to be Re-nnd are given.
Yang, Changlan, Wang, Qingwen
core   +1 more source

Variable s-step CGNR method for solving the matrix equation AXB = C arising in image processing

Mathematical Modelling and Analysis
The matrix equation $ {AXB} = {C}$ is widely utilized in signal and image processing. In this paper, we present a variable s-step algorithm based on the CGNR method for solving this matrix equation by employing normalization techniques.
Hojjatollah Shokri Kaveh, Masoud Hajarian   +1 more
doaj   +1 more source

A Real Representation Method for Solving Yakubovich-j-Conjugate Quaternion Matrix Equation

Abstract and Applied Analysis, 2014
A new approach is presented for obtaining the solutions to Yakubovich-j-conjugate quaternion matrix equation X−AX^B=CY based on the real representation of a quaternion matrix. Compared to the existing results, there are no requirements on the coefficient
Caiqin Song, Jun-e Feng, Xiaodong Wang, Jianli Zhao   +3 more
doaj   +1 more source

Nonrecursive solution for the discrete algebraic Riccati equation and X + A*X-1A=L

Open Mathematics, 2015
In this paper, we present two new algebraic algorithms for the solution of the discrete algebraic Riccati equation. The first algorithm requires the nonsingularity of the transition matrix and is based on the solution of a standard eigenvalue problem for
Adam Maria, Assimakis Nicholas
doaj   +1 more source

The structure of solutions of the matrix linear unilateral polynomial equation with two variables

Karpatsʹkì Matematičnì Publìkacìï, 2017
We investigate the structure of solutions of the matrix linear polynomial equation $A(\lambda)X(\lambda)+B(\lambda)Y(\lambda)=C(\lambda),$ in particular, possible degrees of the solutions.
N.S. Dzhaliuk, V.M. Petrychkovych
doaj   +1 more source

An Efficient Algorithm for the Reflexive Solution of the Quaternion Matrix Equation AXB+CXHD=F

Journal of Applied Mathematics, 2013
We propose an iterative algorithm for solving the reflexive solution of the quaternion matrix equation AXB+CXHD=F. When the matrix equation is consistent over reflexive matrix X, a reflexive solution can be obtained within finite iteration steps in the ...
Ning Li, Qing-Wen Wang, Jing Jiang
doaj   +1 more source

An Iterative Algorithm for the Generalized Reflexive Solution of the Matrix Equations AXB=E, CXD=F

Journal of Applied Mathematics, 2012
An iterative algorithm is constructed to solve the linear matrix equation pair AXB=E, CXD=F over generalized reflexive matrix X. When the matrix equation pair AXB=E, CXD=F is consistent over generalized reflexive matrix X, for any generalized reflexive ...
Deqin Chen, Feng Yin, Guang-Xin Huang
doaj   +1 more source

Bounds of the matrix eigenvalues and its exponential by Lyapunov equation [PDF]

, 2012
summary:We are concerned with bounds of the matrix eigenvalues and its exponential. Combining the Lyapunov equation with the weighted logarithmic matrix norm technique, four sequences are presented to locate eigenvalues of a matrix.
Hu, Guang-Da, Mitsui, Taketomo
core   +1 more source

Discrete Painlevé equation, Miwa variables and string equation in 5d matrix models

Journal of High Energy Physics, 2019
The modern version of conformal matrix model (CMM) describes conformal blocks in the Dijkgraaf-Vafa phase. Therefore it possesses a determinant representation and becomes a Toda chain T-function only after a peculiar Fourier transform in internal ...
A. Mironov, A. Morozov, Z. Zakirova
doaj   +1 more source

Fuzzified Matrix Space and Solvability of Matrix Equations

Axioms
A fuzzified matrix space consists of a collection of matrices with a fuzzy structure, modeling the cases of uncertainty on the part of values of different matrices, including the uncertainty of the very existence of matrices with the given values. The fuzzified matrix space also serves as a test for the admissibility of certain approximate solutions to
Stepanović, Vanja, Tepavčević, Andreja   +1 more
openaire   +2 more sources