不等式

An arbitrary perturbation of generalized Schur complement for positive semidefinite matrix is studied.

得到了原已有文献给出的Hermitian半正定矩阵的Styan矩阵不等式的逆向表达式。

The third chapter discusses some functions in the form ofα-power mean.

第四章我们讨论了Grand Furuta不等式的一些相关结论。

Then based on uniform prior distribution, Bayesian solution of LSI is proposed.

然后提出了不等式限制条件下的最小二乘平差的基于一致先验信息的贝叶斯解法。

In chapter 3, we study the expectation, variance and the *-freeness of normal operators in a W*- probability space, and show the Techebycheff's inequality and law of large numbers of the normal random variables.

第二章主要研究W~*—概率空间上的正常随机变量的期望、方差等性质，证明关于正常随机变量的车贝晓夫不等式及大数定理。

A general super memory gradient projection method was generalized to solve the nonlinear programming problems about the nonlinear equality constraints and in equality constraints by using general projection matrix.

利用广义投影技术，将求解无约束规划的超记忆梯度算法推广，建立了求解带非线性等式和不等式约束优化问题的一种超记忆梯度广义投影算法，并证明了算法的收敛性。

By using generalized projection matrix, conditions are given on the scalars in the three term-memory gradient direction to ensure that the three term-memory gradient projection direction is a descent direction. A new three term-memory gradient projection method for nonlinear programming with nonlinear equality and in-equality constraints is presented.

利用广义投影矩阵，对求解无约束规划的三项记忆梯度算法中的参数给一条件，确定它们的取值范围，以保证得到目标函数的三项记忆梯度广义投影下降方向，建立了求解非线性等式和不等式约束优化问题的三项记忆梯度广义投影算法，并证明了算法的收敛性。

In order to convert this constraint to smooth ones in general form, an enhancing constraint transcription is adopted, thus the convergence of sequential quadratic programming method is guaranteed.

TCSC暂态10s运行约束可表示为过程不等式约束的形式，为将这一约束条件处理为具有标准形式的光滑约束函数，文中扩展了已有的变换技巧，从而保证了SQP法有较好的收敛性。

We estab-lish,under some mild assumptions,a locally quadratic convergence theoremfor Method I and prove a semi-local convergence theorem for Method II.Applications of the two methods to complementarity,variational inequalityand optimization problems are investigated as well.

在某些适当的假设下，我们证明了方法I的局部二次收敛性和方法II的半局部收敛性；还研究了两个方法在求解互补问题，变分不等式问题及约束优化问题中的应用。

This article mainly discussed between the quadratic function and Yuan two inequalities, a Yuan quadratic equation relation and the application.

本文主要谈了二次函数与一元二次不等式、一元二次方程之间的联系及其应用。

In this paper, combined the generalized projection technique and the idea of strongly sub-feasible direction method, a new sequential quadratic programming algorithm for inequality constrained optimization problems is presented.

本文结合广义投影技术和强次可行方向法的思想，给出了一个新的求解不等式约束优化问题的序列二次规划算法。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。