[HTML][HTML] Gradient based iterative solutions for general linear matrix equations

L Xie, J Ding, F Ding - Computers & Mathematics with Applications, 2009 - Elsevier
In this paper, we present a gradient based iterative algorithm for solving general linear
matrix equations by extending the Jacobi iteration and by applying the hierarchical …

Least squares based iterative algorithms for identifying Box–Jenkins models with finite measurement data

Y Liu, D Wang, F Ding - Digital Signal Processing, 2010 - Elsevier
A least squares based iterative identification algorithm is developed for Box–Jenkins models
(or systems). The proposed iterative algorithm can produce highly accurate parameter …

[HTML][HTML] Iterative solutions to coupled Sylvester-transpose matrix equations

C Song, G Chen, L Zhao - Applied Mathematical Modelling, 2011 - Elsevier
This note studies the iterative solutions to the coupled Sylvester-transpose matrix equation
with a unique solution. By using the hierarchical identification principle, an iterative …

[HTML][HTML] Transformations between some special matrices

F Ding - Computers & Mathematics with Applications, 2010 - Elsevier
Special matrices are very useful in signal processing and control systems. This paper
studies the transformations and relationships between some special matrices. The …

Finite iterative method for solving coupled Sylvester-transpose matrix equations

C Song, J Feng, X Wang, J Zhao - Journal of Applied Mathematics and …, 2014 - Springer
This paper is concerned with solutions to the so-called coupled Sylvester-transpose matrix
equations, which include the generalized Sylvester matrix equation and Lyapunov matrix …

Iterative algorithms for the minimum-norm solution and the least-squares solution of the linear matrix equations A1XB1+ C1XTD1= M1, A2XB2+ C2XTD2= M2

K Liang, J Liu - Applied Mathematics and Computation, 2011 - Elsevier
In this paper, two iterative algorithms are proposed to solve the linear matrix equations
A1XB1+ C1XTD1= M1, A2XB2+ C2XTD2= M2. When the matrix equations are consistent, by …

The coupled Sylvester-transpose matrix equations over generalized centro-symmetric matrices

FPA Beik, DK Salkuyeh - International Journal of Computer …, 2013 - Taylor & Francis
In this paper, we present an iterative algorithm for solving the following coupled Sylvester-
transpose matrix equations over the generalized centro-symmetric matrix group (X 1, X 2 …

[HTML][HTML] Non-axisymmetric bending of thin annular plates due to circumferentially distributed moments

E Lamacchia, A Pirrera, IV Chenchiah… - International Journal of …, 2014 - Elsevier
The non-linear deformation of a thin annular plate subjected to circumferentially distributed
bending moments is studied. A von Kármán plate model is adopted to formulate the …

The Yang-Baxter equation, quantum computing and quantum entanglement

F Chouraqui - Physica Scripta, 2024 - iopscience.iop.org
We present a method to construct infinite families of entangling (and primitive) 2-qudit gates,
and amongst them entangling (and primitive) 2-qudit gates which satisfy the Yang-Baxter …

[HTML][HTML] An efficient algorithm for solving extended Sylvester-conjugate transpose matrix equations

C Song, G Chen - Arab Journal of Mathematical Sciences, 2011 - Elsevier
This note studies the iterative solutions to the extended Sylvester-conjugate transpose
matrix equations with a unique solution. By using the hierarchical identification principle, an …