（半）正定,(semi)definite,在线英语词典,英文翻译,专业英语

1) (semi)definite

（半）正定

2) Hermite positive semidefinite

Hermite半正定

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。

3) positive semi-definite matxix

半正定阵

4) semi-positive definite

半正定

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。

5) positive semi-definite

半正定

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) 。

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。

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。

6) semidefinite

半正定

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。

参考词条

半正定矩阵 Hermite半正定阵半正定松弛半正定优化亚半正定解亚（半）正定解实部半正定（半）正定矩阵亚半正定阵对称半正定矿坑充水固埂效益

补充资料：正定

【正定】

　（术语）八正道之一。【又】正定聚之略。

说明：补充资料仅用于学习参考，请勿用于其它任何用途。

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1) (semi)definite （半）正定 2) Hermite positive semidefinite Hermite半正定 1. The complex matrix solutions with Hermite part positive semidefinite and Hermite positive semidefinite for the matrix equation(AXA,BXB)=(C,D) is investigated. 研究了复矩阵方程(AXA,BXB)=(C,D)有Hermite部分是半正定的解与Hermite半正定解的可解性条件。 3) positive semi-definite matxix 半正定阵 4) 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。 5) 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。 6) 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。参考词条半正定矩阵 Hermite半正定阵半正定松弛半正定优化亚半正定解亚（半）正定解实部半正定（半）正定矩阵亚半正定阵对称半正定矿坑充水固埂效益补充资料：正定【正定】　（术语）八正道之一。【又】正定聚之略。说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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