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1)  positive semidefinite quadratic
半正定二次型
1.
The conditions of positive semidefinite quadratic form are given according to its definition,and some properties of postive semidefinite matrix are given according to its definition in the paper.
半正定二次型的定义出发 ,推导出与其定义等价的几个条件 ;并且根据半正定矩阵的定义 ,推导出半正定矩阵的若干性
2)  semidefinite quadratic form
半定二次型
3)  positive definite quadratic form
正定二次型
1.
A non-equality and its proof based on positive definite quadratic form;
基于正定二次型的一个不等式及其证明
2.
The paper is mainly about two opposite questions on quadratic form:one is the opposite question on its standard form,the other is the opposite question on positive definite quadratic form and has been given the solution to each other.
本文着重讨论了关于二次型的两个反问题 ,一个是二次型的标准形的反问题 ,另一个是正定二次型的反问题 ,并分别给出求解方法。
3.
The conditions of equivalence of positive definite quadratic form are given ac-cording to its definition and some properties of positive definite matrix are given too in thepaper.
本文根据正定二次型的定义给出了它的几个等价条件;并且通过对正定矩阵的考察,给出了正定矩阵的若干性质。
4)  positive semidefinite quadratic programming
半正定二次规划
1.
In order to solve the positive semidefinite quadratic programming problems arising from bundle methods for nonsmooth optimization, an algorithm based on Gill & Murry′s active set algorithm for positive semidefinite quadratic programming is given.
针对非光滑优化中捆集算法之二次规划子问题数值求解的困难 ,详细研究了求解半正定二次规划问题的积极法 ,提出了一系列矩阵分解的存储方法和校正方法 ,较好地克服了半正定矩阵奇异性带来的数值求解的困难 ,在求解捆集算法的半正定二次规划子问题中取得了很好的效果 ,所提出的算法具有较强的实用
5)  negative semidefinite quadratic form
半负定二次型
6)  negative semi-definite quadratic form
负半定二次型
补充资料:输出反馈(见线性二次型次优控制)


输出反馈(见线性二次型次优控制)
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  3h日c卜口fon以以{输出反馈型次优控制。(output王eedbaek)见线性二次
  
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