本文研究具有某些固定元素的矩阵在线性约束下的最佳逼近，其结果可以用于解一类矩阵反特征值问题。

In this paper, we consider the best approximation of a matrix under a given linear restriction with some fixed elements. This result can be apply to solving a class matrix inverse eigenvalue problem.

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分析了在适当的边界条件和约束下三次多结点样条插值的逼近阶；

The approximation order of the interpolation with the appropriate boundary conditions and constraints is analyzed.

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本文对不等式约束非线性规划提出一种光滑逼近- BFGS法。

In this paper, a smooth approximation-BFGS method for solving inequality constrained nonlinear programming is presented.

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