Article ID Journal Published Year Pages File Type
470841 Computers & Mathematics with Applications 2010 8 Pages PDF
Abstract

This paper introduces a novel neural network based approach for extracting the eigenvalues with the largest or smallest modulus of real skew-symmetric matrices, as well as the corresponding eigenvectors. To this end, unlike the previous neural network based methods that can be summarized by some 2n2n-dimensional ordinary differential equations (ODEs), where nn is the order of the given skew-symmetric matrix, our proposed approach corresponds to an ODE of order nn, instead of 2n2n. Hence, the scale of networks can be reduced a lot. Simulations verify the computational capability of such approach.

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Physical Sciences and Engineering Computer Science Computer Science (General)
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