1) antireflexive relation
逆自反关系
3) irreflexive relation
非自反关系
4) reflexive inverse
自反逆
1.
By applying the properties of general anti-symmetric unitary anti-symmetric matrix and the theory of reflexive inverse of matrix,the sufficient conditions for the existence and the common expressions of general anti-symmetric unitary anti-symmetric solutions of matrix equation AX=C and the system are presented.
利用广义反对称酉反对称矩阵的性质和矩阵的自反逆的理论,得到了实四元数矩阵方程AX=C和矩阵方程组的广义反对称酉反对称解的存在条件及其通解表达式。
5) self-reflective g-inverse
自反g-逆
1.
A fast algorithm for calculating the inverst and self-reflective g-inverse and group inverse and Moore-Penrose inverse of the scaled factor circulant matrices of order n is presented by the fast Fourier transform (FFT).
借助快速付立叶变换(FFT),本文给出一种求n阶鳞状因子循环矩阵的逆阵、自反g-逆、群逆、Moore-Penrose逆的快速算法,该算法的计算复杂性为O(nlog2n),最后给出的两个数值算例表明了该算法的有效性。
2.
A fast algorithm for calculating the inverse and self-reflective g-inverse and group inverse and Moore-Penrose inverse of the permutation factor circulant matrices of ordern is presented by the fast Fourier transform(FFT).
借助快速傅立叶变换(FFT),给出一种求n阶置换因子循环矩阵的逆阵、自反g-逆、群逆、Moore-Penrose逆的快速算法,该算法的计算复杂性为O(nlog2n),最后给出的两个数值算例表明了该算法的有效性。
6) reflexive g-inverse
自反g-逆
1.
By applying a decomposition of pairwise matrices,we give some equivalent conditions for two m×n matrices being block independent in g-inverse and reflexive g-inverse over a division ring.
通过使用除环上具有同行或同列的双矩阵分解定理,给出了除环上两个同阶矩阵的g-逆和自反g-逆具有子块独立性的充分必要条件。
2.
By applying the decomposition theorem, we obtain some neccessary and sufficient conditions of reverse order laws for g-inverse and reflexive g-inverse of matrix products on an arbitrary skew field.
利用该分解定理作为工具,获得了任意体上矩阵乘积的g一逆和自反g-逆的反序律的充分必要条件。
补充资料：非想非非想处
【非想非非想处】
（术语）可享有非想非非想天之禅定也。与非有想非无想同。楞严经曰：“识性不动，以灭穷研，于无尽中，发实尽性。如存不存，若尽非尽，如是一类，名非想非非想处。”按非想非非想处，为无色界第四天，诸天之最胜者也。非想，言非有想。非非想，言亦非有此非想也。即经所云如存不存若尽非尽者是。
（术语）可享有非想非非想天之禅定也。与非有想非无想同。楞严经曰：“识性不动，以灭穷研，于无尽中，发实尽性。如存不存，若尽非尽，如是一类，名非想非非想处。”按非想非非想处，为无色界第四天，诸天之最胜者也。非想，言非有想。非非想，言亦非有此非想也。即经所云如存不存若尽非尽者是。
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