2PPJ迭代收敛的充要条件

A sufficient and necessary of the convergence of the 2PPJ iterative method

探究线性方程组Ax=b的系数矩阵A的Jacobi矩阵的特征值的平方为纯虚数或者是零时2PPJ迭代的收敛性问题,得出此类方程组2PPJ迭代的收敛性区间.并且给出一个数例对结论加以说明.

A linear systcm Ax=b is studied ,where A is coefficient matrix and the square of the eigenvalues of its Jacobi matrix are all pure imaginaries or zeroes .For its 2PPJ itcrative method ,the range of convergence is given. In addition,a nu merical example is given for illustrating the results.