摘要
针对从最优化方法、最佳求积公式设计、最小二乘问题求解中导出的一类结构线性代数方程组,首先给出广义奇异值分解分析,然后提出三种求解方案,最后对加权QR分解的理论性质给出讨论。
This paper deals with a class of structured linear algebraic equations resulted from some applications. Firstly, based on generalized singular value decomposition, an analysis on the solvability is given. Then three methods for solving such systems are presented. Finally, we discuss about the weighted QR facterization
基金
山东省自然科学基金