Solution of Drazin’s inverse matrix based on LMBP algorithm
LU Yu-rong
Abstract
LU Yu-rong
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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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