矩阵SVD分解法在工程数值计算中的应用

APPLICATION OF SVD IN NUMERICAL CALCULATION OF ENGINEERING

论述了ＳＶＤ分解法的理论基础、数值计算方法，推导了任意矩阵的ＳＶＤ分解式，并对工程数值计算中的奇异、病态、超定方程进行了ＳＶＤ求解．计算结果表明该算法稳定，结果准确，适合于解决实际工程问题．

The theory of singular value decomposition is discussed systematically by dealing with singular,illconditioned equations,and linear leastsquares problems.The results show that the algorithm is very stable,efficient, and powerful in solving practical problems.