作　　者： ; ; ;

机构地区： 湖南大学电气与信息工程学院

出　　处： 《湖南大学学报（自然科学版）》 2005年第4期58-61,共4页

摘　　要： 研究了求解线性系统的神经网络算法,提出并证明了神经网络算法的收敛性定理.该算法不涉及矩阵的逆运算和除法运算,不受条件aii≠0的限制,对于严重病态的线性系统也能得到高精度解.给出的应用实例验证了算法的有效性. A neural-network algorithm for solving the linear systems was proposed. The convergence theorem of the neural-network algorithm was presented and proved. The approach did not involve the inverse matrix operation and division operation of matrix, and was not restricted by the condition of αii≠0. The high accuracy solution of a singular matrix was also obtained. The validity of the algorithm was proved by three kinds of simulation examples. Simulation results showed that it was effective for solving linear systems with the neural-network algorithm.

关 键 词： 神经网络 并行算法 线性系统 收敛性 应用实例

领　　域： [理学] [理学]