本文证明了此方程存在唯一的正定解，并推导出此正定解的扰动边界和条件数的显式表达式。
By using this new expression, we derive a perturbation bound for the subunitary polar factor for any unitarily invariant norm.
结果得到了当m是广义正定矩阵时，线性互补问题存在唯一解。
Results linear complementary problem have unique solution when m is generalized positive definite matrix.
假定约束是可行、规范的，对于目标函数为正定或半正定的情形，得到了全局最优解的充要条件。
Under the cases that the objective function is positive definite or positive semidefinite, the necessary and sufficient conditions to characterize global optimal solution are obtained.
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