1)positive semi-definite半正定
1.Using Toeplitz matrix,the feature that the sum of the length of two sides is larger than that of the other side and the linearity transformation, the positive semi-definite sextic polynomial are derived, that is,L m(m=1,2,3,4,5),M n,B n(n=1,2,3,4) and the concrete expressions of G 1,G 2.应用Toeplitz矩阵、三角形两边之和大于第三边的性质与线性交换 (x ,y ,z) =(a ,b ,c)θ(0 ) ,给出了半正定三元六次型Lm(m =1,2 ,3,4 ,5 ) ,Mn,Bn(n =1,2 ,3,4 )和G1,G2 的具体表达式 ,然后给出主要结果Lm,Mn,G1,G2 ,B1,B2 及B3 +B4∈Q(A) 。
2.The author introduce the method of applying positive semi-definite quadratic form to prove inequality by giving several examples.通过给出几个实例 ,介绍了利用二次型的半正定性证明不等式的方法 。
3.A sufficient and necassary condition and the general form of solutions for the inverse problem of the system of quaternion linear equations Ax=b to have solutions of positive semi-definite matrix and positive semi-definite conjugate matrix are derived.证得了四元数矩阵为半正定的充要条件,得到四元数线性方程组AX=b的反问题有半正定阵解、半正定自共轭阵解的充要条件及解的一般形式。
英文短句/例句
1.Then A is positive semidefinite, negative definite and negative semidefinite.则A是半正定,负定,半负定的。
2.A positive-definition method for un-damped linear positive semi-definite vibration system线性无阻尼半正定振动系统简明正定化方法
3.The Bisymmetric Positive Semidefinite Solutions of Matrix Equation A~TXA=F;矩阵方程A~TXA=F的双对称半正定解
4.An Inequality For Semipositive Definite Hermite s Matrices;半正定Hermite矩阵的一个不等式
5.Symmetric Semipositive Definite Solutions to Matrix Equation AXA~т+BYB~т=C;矩阵方程AXA~T+BYB~T=C的对称半正定解
6.The Trace of A Positive Semidefinite Hermite Matrix and Its Application;半正定Hermite矩阵的迹及其应用
7.CPC Algorithm for Semidefinite Monotone Variational Inequalities半正定单调变分不等式的CPC算法
8.The Isolation of Generalized Minkowski′s Inequality for Semi-metapositive Definite Matrix亚半正定矩阵的广义Minkowski不等式的隔离
9.Estimates for Elgenvalues of Product of Positive Semidefinite Hermitian Matrices半正定Hermite矩阵之积的特征值估计
10.The Positive Semi-definite of Gram Matrix and it's Application格拉姆(Gram)矩阵的半正定性及其应用
11.On the Matrix Inequalitiy for the Hadamard Product of Positive Semidefinite Matrices关于半正定矩阵Hadamard积的矩阵不等式
12.On Partial Ordering of Pseudo-Schur Complement for Positive Semidefinite Block Matrices半正定分块矩阵的块Pseudo-Schur补的偏序
13.Existence Theory for Single and Multiple Solutions to Nonlinear Singular Semi-Positone Boundary Value Problems;奇异半正定非线性边值问题的正解及多个正解的存在性
14.Connections Between Euclidian Distance Matrix and Positive Semidefinite Matrix欧几里得距离矩阵与半正定矩阵的关系
15.Error Estimate to the Simplified Iteration for the PositiveSemi-Definite,Compact and Self-Adjoint Operator Equation自共轭半正定紧算子方程简化迭代的误差估计
16.An Approximation Method of Positive Semi-definite Matrix Based on Weighted F-norm;一种基于加权F-范数的半正定矩阵的逼近方法
17.An Inequality for the Eigenvalue of the Product of Positive Semedefinite Hermitean Matrices;一个关于半正定Hermite矩阵特征值的不等式
18.Minor Self-conjugate and Skewpositiove Semidefinite Solutions to a Matrix Equation over Skew Fields;体上一矩阵方程的次自共轭及斜亚半正定解
相关短句/例句
positive semidefinite半正定
1.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.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。
2.Given two positive semidefinite matrices and their eigenvalues and a more accurate estimation of the eigenvalues of AB, we get a method of decreasing the distance between the maximum and minimum eigenvalue of AB.给定两个半正定矩阵A、B以及它们的特征值,给出了乘积阵AB的特征值一个更精确的估计,得到了一个不断缩小AB特征值的上、下限间距离的方法。
3.It is defined for a real (may not symmetric) matrix to be generalized positive semidefinite.文章给出了实方阵为广义半下定的概念及一些判定条件,并讨论广义半正定实方阵的行列式及子式的性
3)semi-positive definite半正定
1.This paper investigates the constraned singular semi-positive definite linear systems Ax=b,(x∈L).本文研究约束的奇异半正定线性方程组Ax=b,x∈L的迭代解法,给出了著名的Ke ller定理的新证,并据之给出了已有的投影迭代法的简证。
4)semidefinite半正定
1.In this paper,combining the majorization with compound matrix,we get an inequality for the eigenvalue of the product of positive semidefinite Hermitian matrices,which generizes some recent results.将控制不等式理论与复合矩阵结合起来,得到一个半正定Hermite矩阵特征值的不等式。
5)Hermite positive semidefiniteHermite半正定
1.The complex matrix solutions with Hermite part positive semidefinite and Hermite positive semidefinite for the matrix equation(A*XA,B*XB)=(C,D) is investigated.研究了复矩阵方程(A*XA,B*XB)=(C,D)有Hermite部分是半正定的解与Hermite半正定解的可解性条件。
6)positive semi-definite matxix半正定阵
延伸阅读
半…半…分别用在意义相反的两个词或词素前面,表示相对的两种性质或状态同时存在:~文~白ㄧ~真~假ㄧ~信~疑ㄧ~推~就。
