广义不定最小二乘问题的扰动分析OA北大核心CSCDCSTPCD
Perturbation analysis for generalized indefinite least squares problems
通过定义一种新的加权广义逆,研究不定最小二乘问题和等式约束不定最小二乘问题.应用矩阵的双曲QR分解,得到这两个问题的解的表达形式,并且推出了关于这两个问题的解的扰动界.
A new kind of weighted generalized inverse was defined to study indefinite least squares (ILS) problem and equality constrained indefinite least squares (ILSE) problem. By applying hyperbolic-QR factorization, the solutions to the two problems were obtained. Also the perturbation bounds of the solutions were derived.
王茜
华东师范大学,数学系,上海,200062
数理科学
扰动分析不定最小二乘问题等式约束不定最小二乘问题加权广义逆
perturbation analysis indefinite least squares problem equality constrained indefinite least squares problem weighted generalized inverse
《华东师范大学学报（自然科学版）》 2009 (4)
刚性系统和矩阵多项式的若干问题
47-53,7
国家自然科学基金(10771073)上海市重点学科建设项目(S30405)
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