scholarly journals On a block matrix inequality quantifying the monogamy of the negativity of entanglement

2015 ◽  
Vol 63 (12) ◽  
pp. 2526-2536 ◽  
Author(s):  
Koenraad M.R. Audenaert
Keyword(s):  
Block Matrix ◽  
Matrix Inequality

Re-analysis method for inversion of block matrix based on change threshold

2021 ◽  
Vol 94 ◽  
pp. 780-790
Author(s):  
Biliang Cheng ◽  
Huping Mao ◽  
Quan Sun ◽  
Feng Jia ◽  
Peng Zhang
Keyword(s):  
Block Matrix ◽  
Analysis Method ◽  
Change Threshold

Representations for the image-kernel (p,q)-inverses of block matrices in rings

2020 ◽  
Vol 27 (2) ◽  
pp. 297-305
Author(s):  
Dijana Mosić
Keyword(s):  
Block Matrix ◽  
Block Matrices ◽  
Schur Form

AbstractWe present the conditions for a block matrix of a ring to have the image-kernel{(p,q)}-inverse in the generalized Banachiewicz–Schur form. We give representations for the image-kernel inverses of the sum and the product of two block matrices. Some characterizations of the image-kernel{(p,q)}-inverse in a ring with involution are investigated too.

Block matrix models for dynamic networks

2021 ◽  
Vol 402 ◽  
pp. 126121
Author(s):  
Mohammed Al Mugahwi ◽  
Omar De La Cruz Cabrera ◽  
Caterina Fenu ◽  
Lothar Reichel ◽  
Giuseppe Rodriguez
Keyword(s):  
Matrix Models ◽  
Dynamic Networks ◽  
Block Matrix

Input-Output Analysis of Environmental Protection Industry

2014 ◽  
Vol 1073-1076 ◽  
pp. 2700-2703
Author(s):  
Lei Jiang ◽  
Shou Zhong Hu ◽  
Xiao Xiao Xu
Keyword(s):  
Environmental Protection ◽  
Singular Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Input Output ◽  
Output Analysis ◽  
Input Output Analysis ◽  
Sufficient Stability Condition ◽  
Sufficient Stability ◽  
Output System

This paper investigates the run of environmental protection industry input-output model. A new mathematic method is applied to study this kind of singular input-output system. With this new method, we need not convert singular systems into general linear systems. A sufficient stability condition under which an environmental protection industry input-output model is stable is proved. This condition is in the form of linear matrix inequality and can be easily tested by computers.

scholarly journals A New Robust Training Law for Dynamic Neural Networks with External Disturbance: An LMI Approach

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
Choon Ki Ahn
Keyword(s):  
Neural Networks ◽  
Linear Matrix Inequality ◽  
Exponential Stability ◽  
External Disturbance ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Input Output ◽  
Lmi Approach ◽  
Dynamic Neural Networks ◽  
Numerical Examples

A new robust training law, which is called an input/output-to-state stable training law (IOSSTL), is proposed for dynamic neural networks with external disturbance. Based on linear matrix inequality (LMI) formulation, the IOSSTL is presented to not only guarantee exponential stability but also reduce the effect of an external disturbance. It is shown that the IOSSTL can be obtained by solving the LMI, which can be easily facilitated by using some standard numerical packages. Numerical examples are presented to demonstrate the validity of the proposed IOSSTL.

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