1) tripotence

立方幂等
1.
Maps on 2×2 matrix algebras preserving tripotence over fields

域上2×2矩阵代数保立方幂等的映射
2.
Maps completely preserving tripotence on B(X)

B(X)上完全保立方幂等的映射
3.
Maps preserving tripotence from 2×2 symmetric matrix space to 2×2 full matrix space

2×2对称矩阵空间到2×2全矩阵空间保持立方幂等的映射
2) tripotent matrix

立方幂等阵
1.
Given the following six 2×2 partitioned block matrices,where P is a given tripotent matrix over the field of complex numbers,and P* is a transposed conjugate matrix of P.
针对其特殊情形,即如下6个2×2分块矩阵,其中P为复数域上的立方幂等阵,P*为P转置共轭矩阵,运用群逆与{1}-逆的关系等式及群逆的一些性质研究了这6个分块矩阵群逆的存在性,并给出了相应的表达式。
5) tripotent matrix

立方幂等矩阵
1.
If A∈T_2(F) satisfies A~3 = A, then A is called a tripotent matrix.

设T和T_2~k(C)分别是T_2(F)和T_3(C)上所有立方幂等矩阵和k-幂等矩阵构成的子集。
2.
In this paper,if AB=BA,then we give(i) the sufficient and necessary conditions for idempotency of the matrix P,where A is an idempotent matrix and B is an arbitrary matrix;(ii) the sufficient and necessary conditions for tripotency of the matrix P,where A is a tripotent matrix and B is an arbitrary matrix.
研究幂等矩阵和立方幂等矩阵的线性组合在矩阵理论和统计学中具有重要的意义。
6) skew-tripotent matrix

反立方幂等矩阵
补充资料:立方
①指数是3的乘方,如a3(a×a×a),43(4×4×4)。②立方体的简称。③指立方米。
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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