关于"求解加权线性最小二乘问题的一类预处理GAOR方法"一文的注记

NOTE ON“A CLASS OF PRECONDITIONED GAOR METHODS FOR SOLVING WEIGHTED LINEAR LEAST-SQUARES PROBLEM”

在“求解加权线性最小二乘问题的一类预处理GAOR方法”一文中,作者提出了求解加权线性最小二乘问题等价2×2块线性系统的一类预处理GAOR方法,并给出了几个比较定理来说明新提出预处理GAOR方法的优越性.本文我们将指出该文中几个比较定理的不完善之处和证明的错误之处,并给出正确的证明.

In the paper entitled“A class of preconditioned GAOR methods for solving weighted linear least-squares problem”,authors proposed a class of preconditioned GAOR methods for solving the equivalent 2×2 block linear system of the weighted linear least-squares problem,and presented some comparison theorems to illustrate the advantages of the new proposed method.In this note,we will point out the imperfections and errors in the proof of several comparison theorems,and give the correct proofs.