1) Nakano semi-positive
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Nakano半正定
2) Nakano positivity
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Nakano正则性
3) Hermite positive semidefinite
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Hermite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。
5) semi-positive definite
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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。
6) positive semi-definite
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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。
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