有三对角半正定增量块的对称正定方程组的解

这篇论文讨论一类迭代，它需求系数矩阵有变化的三对角半正定增量块的对称正定方程组的解,该文把这种半正定的增量块进行了独特分解，给出了一种迭代算法，重复使用这种算法求解上述的问题可以提高计算的效率．吴筑筑曾提出过对角元有正增量的一种迭代算法，该文算法考虑块增量的情形，是对吴筑筑算法的一种推广．

Solving the Symmetric Positive Definitesystems of Linear Equations Which Have Positive Semi-definite Tri-diagonal Matrix Increments

This paper deals with a kind of iterations,which need to solve the symmetric positive definite systems of linear equations whose matrices of coefficients have varying positive semi-definite tri-diagonal martrix increments. The positive semi-definite tri-diagonal martrix increment is especially divided, an iterative algorithm is presented. It to use the algorithm in the iterative process of repeatedly solving above mentioned system. Wu Zhuzhu has presented an algorithm for diagonal elements with positive increments. The algorithm of this paper which takes martrix increments into account, is the generalization of the algorithm presented by Wu Zhuzhu.