EXTENDED OBLIQUE PROJECTION METHOD FOR GENERALIZED LEAST SQUARES PROBLEM

We extend the oblique projection method given by Y.Saad to solve the generalized least squares problem. The corresponding oblique projection operator is presented and the convergence theorems are proved. Some necessary and sufficient conditions for computing the solution or the minimum N-norm solution of the min || A x- b ||M2 have been proposed as well.

斜测电离图反演及其不稳定性研究

在已知固定地面距离的发射站和接收站之间的扫频斜向探测技术能够获得电波传播群时延对频率关系的斜测电离图。由于传输斜测信号的媒质是电离层 ,因此斜测电离图包含了探测距离上电离层状态的有用信息 ,可以通过对这种电离图的反演提取电离层的状态信息。采用Rao对返回散射电离图的反演算法和解不稳定问题正则方法的结合对斜测电离图进行了反演。该方法能够克服Rao算法的不稳定性 ,获得较好的反演结果 ,展示了在处理实际斜向探测电离图的应用前景。