亏秩线性方程组PSD迭代法的最优参数

The optimal parameters of the PSD method for rank deficient linear systems

利用数形结合的方法得到了亏秩线性方程组Ax=b的PSD迭代法在一般情形下的最优参数及最优谱半径,其中A∈Cmr×n且r<min{m,n},x∈Cn,b∈Cm,并以实例说明。

Combining geometry and algebra,the optimal parameters and the optimal spectral radius of the PSD method for rank deficient linear systems Ax=b are acquired,where A∈Cm×nr and rmin{m,n},x∈Cn,b∈Cm,and then examples are given to illustrate the results.