Results 21 to 30 of about 74,615 (275)

Solving Quaternion Linear System Based on Semi-Tensor Product of Quaternion Matrices

Symmetry, 2022
In this paper, we use semi-tensor product of quaternion matrices, L-representation of quaternion matrices, and GH-representation of special quaternion matrices such as quaternion (anti)-centrosymmetric matrices to solve the special solutions of quaternion matrix equation.
Xueling Fan, Ying Li, Zhihong Liu, Jianli Zhao   +3 more
openaire   +1 more source

Matrix Analysis of Synchronous Boolean Networks [PDF]

International Journal of Mathematical, Engineering and Management Sciences, 2021
The synchronous Boolean network (SBN) is a simple and powerful model for describing, analyzing, and simulating cellular biological networks. This paper seeks a complete understanding of the dynamics of such a model by employing a matrix method that ...
Ali Muhammad Ali Rushdi, Adnan Ahmad Alsogati   +1 more
doaj   +1 more source

A condition number for the tensor rank decomposition [PDF]

, 2016
The tensor rank decomposition problem consists of recovering the unique set of parameters representing a robustly identifiable low-rank tensor when the coordinate representation of the tensor is presented as input.
Vannieuwenhoven, Nick
core   +2 more sources

Open strings in Lie groups and associative products [PDF]

, 2006
Firstly, we generalize a semi-classical limit of open strings on D-branes in group manifolds. The limit gives rise to rigid open strings, whose dynamics can efficiently be described in terms of a matrix algebra.
Alekseev, Alekseev, Alekseev, Alekseev, Alekseev, Alekseev, Alvarez-Gaume, Balachandran, Behrend, Berezin, Bigatti, Bordemann, Cardy, Charles Jego, Chu, Coste, D'Appollonio, D'Appollonio, Davids, Davids, Douglas, Falcet, Felder, Felder, Figueroa-O'Farrill, Freidel, Gawedzki, Grosse, Hoppe, Hosomichi, Hou, Jan Troost, Jurco, Jurco, Karasev, Karasev, Kirillov, Kirillov, Landsman, Lieb, Liskova, Madore, Maldacena, McGreevy, Moore, Morariu, Morariu, Mukunda, Nielsen, Perelomov, Pierre Bieliavsky, Podles, Ponsot, Ponsot, Pradisi, Rawnsley, Rawnsley, Ribault, Ribault, Rieffel, Runkel, Schomerus, Seiberg, Sfetsos, Simon, Slater, Snyder, Taylor, Troost, Unterberger, Unterberger, Vilenkin, Vilenkin, Weinstein, Weinstein, Weinstein, Whipple, Whipple, Whipple, Wigner, Witten, Witten, Woodhouse, Zakrzewski   +83 more
core   +4 more sources

Stability Analysis of Boolean Networks With Stochastic Function Perturbations

IEEE Access, 2019
Using the semi-tensor product method, this paper studies the set stability of Boolean networks (BNs) with stochastic function perturbations. First, the definition of one-column function perturbation for BNs is defined, and two kinds of stochastic ...
Xueying Ding, Haitao Li, Xiaodong Li, Weiwei Sun   +3 more
doaj   +1 more source

Regularly Decomposable Tensors and Classical Spin States [PDF]

, 2017
A spin-$j$ state can be represented by a symmetric tensor of order $N=2j$ and dimension $4$. Here, $j$ can be a positive integer, which corresponds to a boson; $j$ can also be a positive half-integer, which corresponds to a fermion.
Bohnet-Waldraff, Fabian, Braun, Daniel, Giraud, Olivier, Qi, Liqun, Zhang, Guofeng   +4 more
core   +4 more sources

Centro-affine hypersurface immersions with parallel cubic form [PDF]

, 2013
We consider non-degenerate centro-affine hypersurface immersions in R^n whose cubic form is parallel with respect to the Levi-Civita connection of the affine metric.
Hildebrand, Roland
core   +3 more sources

Solving interval type-2 fuzzy relation equations via semi-tensor product of interval matrices

Mathematical Modelling and Control, 2023
<abstract><p>This paper mainly studied the problem of solving interval type-2 fuzzy relation equations $ \widetilde A \circ \widetilde X = \widetilde B $. First, to solve the interval type-2 fuzzy relation equations, we extend the semi-tensor product of matrices to interval matrices and give its specific definition.
Aidong Ge, Zhen Chang, Jun-e Feng
openaire   +2 more sources

Riccati equation and metric geometric means of positive semidefinite matrices involving semi-tensor products

AIMS Mathematics, 2023
<abstract><p>We investigate the Riccati matrix equation $ X A^{-1} X = B $ in which the conventional matrix products are generalized to the semi-tensor products $ \ltimes $. When $ A $ and $ B $ are positive definite matrices satisfying the factor-dimension condition, this equation has a unique positive definite solution, which is defined ...
Pattrawut Chansangiam, Arnon Ploymukda
openaire   +2 more sources

Controllability and Optimal Control of Higher-Order Incomplete Boolean Control Networks With Impulsive Effects

IEEE Access, 2018
This paper investigates the controllability and optimal control of higher order incomplete Boolean control networks (BCNs) with impulsive effects by using the semi-tensor product of matrices.
Lei Deng, Shihua Fu, Ying Li, Peiyong Zhu, Hongyan Liu   +4 more
doaj   +1 more source