2005Journal of Chengdu University of TechnologyRequires access

Solution of Drazin’s inverse matrix based on LMBP algorithm

LU Yu-rong

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Abstract

The paper presents a new algorithm how to take the advantage of neural network to solve the inverse of Drazin matrix. On the basis of the property of Drazin matrix and the research results up to now, it devises a circulating neural network of pre-processing of Drazin inverse matrix solution and a neural network structure of LMBP, respectively. According to the solved result of the example, it indicates that the new algorithm takes on a better advantage compared with the traditional algorithm.

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What this paper is about

The paper presents a new algorithm how to take the advantage of neural network to solve the inverse of Drazin matrix. On the basis of the property of Drazin matrix and the research results up to now, it devises a circulating neural network of pre-processing of Drazin inverse matrix solution and a neural network structure of LMBP, respectively. According to the solved result of the example, it indicates that the new algorithm takes on a better advantage compared with the traditional algorithm.

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Available abstract

The paper presents a new algorithm how to take the advantage of neural network to solve the inverse of Drazin matrix. On the basis of the property of Drazin matrix and the research results up to now, it devises a circulating neural network of pre-processing of Drazin inverse matrix solution and a neural network structure of LMBP, respectively. According to the solved result of the example, it indicates that the new algorithm takes on a better advantage compared with the traditional algorithm.

Key concepts: Drazin inverse, Algorithm, Artificial neural network, Matrix (chemical analysis), Inverse, Mathematics, Property (philosophy), Block matrix

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