1) complex metapositive semidefinite matrix
复亚半正定矩阵
1.
The concept of complex metapositive semidefinite matrix is given, its properties and determinant theories are discussed, and then the Schur theorem, Hua Luo-geng theorem, Minkowski inequality, Protruding property inequality and Ostrowski-Taussky inequality of Hermite matrices are generalized to more extensive compound matrix genus.
给出了复亚半正定矩阵的概念,研究了它的基本性质及行列式理论,将Hermite阵的Schur定理华罗庚定理Minkowski不等式凸性不等式Ostrowski-Taussky不等式推广到了较广泛的复矩阵类,扩大了Minkowski不等式的指数范围,削弱了华罗庚不等式的条件。
3) skewpositiove semidefinite matrix
斜亚半正定矩阵
4) minor positive (semi)definite matrix
次亚(半)正定矩阵
5) positive semidefinite complex matrix
复半正定矩阵
6) complex positive semi-definite matrix
半正定复矩阵
1.
Properties of complex positive semi-definite matrix, k-step principle minor matrix, Kronecker product and Hadamard product are studied.
讨论了半正定复矩阵的性质和半正定复矩阵的k阶主子阵、Kronecker积和Hadamard积的性质 ,给出半正定复矩阵特征值的估
补充资料：正定矩阵
设m是n阶实系数对称矩阵， 如果对任何非零向量
x=(x_1,...x_n) 都有 xmx^t>0，就称m正定。
正定矩阵在相似变换下可化为标准型， 即单位矩阵。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条