| 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 |
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| 引用本文： | 缪树鑫.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[J].计算数学,2022,44(1):89-96. |
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| 作者姓名： | 缪树鑫 |
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| 作者单位： | 西北师范大学数学与统计学院, 兰州 730070 |
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| 基金项目： | 国家自然科学基金(11861059)； |
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| 摘 要： | 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$2\times 2$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.
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| 关 键 词： | 加权线性最小二乘问题 预处理子 GAOR方法 比较定理 |
| 收稿时间： | 2020-07-06 |
NOTE ON "A CLASS OF PRECONDITIONED GAOR METHODS FOR SOLVING WEIGHTED LINEAR LEAST-SQUARES PROBLEM" |
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| Miao Shuxin.NOTE ON "A CLASS OF PRECONDITIONED GAOR METHODS FOR SOLVING WEIGHTED LINEAR LEAST-SQUARES PROBLEM"[J].Mathematica Numerica Sinica,2022,44(1):89-96. |
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| Authors: | Miao Shuxin |
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| Affiliation: | College of Mathematics and Statistics, Northwest Normal University, LanZhou 730070, China |
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| Abstract: | 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. |
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| Keywords: | weighted linear least-squares problem preconditioner GAOR met hod comparison theorems |
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