乘

At first, it presents a survey of the studyhistory as well as present situation in the λ-multiplier convergent series,invariant, infinite matrix algebras, Schur-matrices and p-uniform Toeplitzmatrices and the Eberlein-Smulian theorem, etc.

本文共5章。首先回顾了〓数乘收敛级数、不变性、无穷矩阵代数、Schur—矩阵与p-一致Toeplitz矩阵以及Eberlein-Smulian定理等的研究历史和现状。

Keywords Closed convex cone;gradient projection method;Least-squares solution;Inverse matrix problem;Inverse eigenvalue problem;Matrix completion problem;Optimal approximation

Article From 湖南大学；应用数学博士论文 2005年度闭凸锥；投影梯度法；最小二乘解；矩阵反问题；矩阵逆特征值问题；矩阵完全化；最佳逼近

In the first part, convex duality method linearizes convex wealth equation, and the introduction of Lagrange multiplier converts original problem to an unconstrained static optimum problem. At last, we obtain another equivalent optimum problem with convex control domain.

文章前一部分运用凸对偶的方法先将财富方程线性化，Lagrange乘子的引入使最优问题等价与一个无约束的静态最优问题，最后转化为一个凸控制域的最优问题。

In compressive sensing, the familiar least squares optimization is inadequate for signal reconstruction, and other types of convex optimization must be invoked.

在压缩传感，熟悉的最小二乘优化是不够的信号重建，和其他类型凸优化，必须援引。

Inequality constrained least-square problems are first changed to convex quadratic programming problems and then solved for the optimal solutions.

研究了不等式约束下的平差问题，即先将不等式约束的最小二乘问题转换成凸二次规划问题，然后求其最优解。

With the viscosity solution of Eikonal equation, a method is proposed on the 3D reconstruction of convex surface based on an image. Then, the additive saddle surface and multiplicative saddle surface are defined.

利用Eikonal方程的粘性解给出了基于单幅图像的凸面三维重建算法；定义了2类鞍面--加性鞍面和乘性鞍面。

This property is independent with the convexity of the objective function and the line search used.

本文在此基础上利用后退线性搜索，提出一种解非线性最小二乘问题的结构化MBFGS公式。

The efficiency of computing convolution is very low by using common computer systems.

用普通的计算机系统计算卷积处理中的加和乘效率比较低。

The camp, held four times a year, normally culminates on its fourth day with a shot at Corbet's.

阵营， 被拿著四乘一年，通常达到高潮在它的第四天与射击在Corbet 的。

The estimation bias is compensated by introducing a correction term in the recursive least squares estimate.

通过在递推最小二乘算法中引入一个修正项，补偿过程噪声引起的估计偏差。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！