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A Riccati Matrix Equation Solver Design Based Neurodynamics Method and Its Application

IEEE Transactions on Automation Science and Engineering
Riccati matrix equation (RME), a critical nonlinear matrix equation in autonomous driving and deep learning. However, memory-compute separation in traditional solving systems leads to latency and inefficiency when solving nonlinear equations ...
Pin-an Xiao   +6 more
semanticscholar   +1 more source

On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G)

Linear and multilinear algebra, 2018
This paper aims to consider the Hermitian solutions of reduced biquaternion matrix equation where X is an unknown reduced biquaternion Hermitian matrix, and A, B, C, D, E, G are known reduced biquaternion matrices with suitable size.
Shifang Yuan, Yong Tian, Ming-Zhao Li
semanticscholar   +1 more source

Fully fuzzy Sylvester matrix equation

Journal of Intelligent & Fuzzy Systems, 2015
The Sylvester equation arises in many application areas, for instance process and system control, and in the fuzzy setting, solution of this equation has been considered only in the case when the right-hand side matrix is a fuzzy matrix.
K. Dookhitram   +3 more
semanticscholar   +1 more source

Several kinds of special least squares solutions to quaternion matrix equation $$AXB=C$$

Journal of Applied Mathematics and Computation, 2021
Dong Wang, Ying Li, W. Ding
semanticscholar   +1 more source

The double-step scale splitting method for solving complex Sylvester matrix equation

Computational and Applied Mathematics, 2019
M. Dehghan, Akbar Shirilord
semanticscholar   +1 more source

The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming   +2 more
exaly  

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