摘要
科学计算中有很大一部分可以归结为矩阵计算,而矩阵计算的困难在于求逆。在矩阵退化或病态情况下,求逆就更困难。另一方面,非方矩阵逆有多种定义,使矩阵求逆更为复杂。因此,寻求一种新的能适应各种矩阵的求逆方法引起了人们的注意。作者提出一种基于BP算法的神经网络矩阵求逆方法。它适应面广,能避开病态数据,具有足够的求逆精度。
Most scientific calculations can be resolved to matrix calculations. One of the problem of matrix calculation is to solve the finding of an inverse of a matrix. When a matrix is singular or ill-conditioned the finding of the inverse of the matrix becomes more difficult on the other hand, it will be more complex because there are a lot of definitions of an inverse of a nonsquare matrix. Therefore, it is necessary to look for a new method to find the inverse of any given matrix. In this paper, based on BP algorithm, a neural network method is proposed to find the inverse of a matrix. The method can be used for either a nonsingular matrix, an ill-conditioned matrix or a nonsquare matrix with enough accuracy.
出处
《北京生物医学工程》
1997年第2期77-84,共8页
Beijing Biomedical Engineering
基金
国家自然科学基金
863计划
攀登计划资助