【摘要】 给出了矩阵的一种三角分解法 -PQ分解 ,并利用这种分解讨论了线性方程组Ax =b的解法 ,最后就对称正定矩阵的特殊情形给出了类似于Cholesky分解的平方根分解法更多还原

【Abstract】 This paper gives a new triangular decomposition of n×n matrix and discusses the method of solving systems of linear equations Ax=b.At last,in the special case that if A is a real,symmetric and positive definite matrix,then a PP~T- factorizition,which is just as Cholesky factorization,is hold.更多还原