摘要
运用矩阵秩方法和奇异值分解分别对两个矩阵乘积关于{1,2,3}-逆与{1,3,4}-逆的交换律以及混合交换律进行了研究,得出了两个矩阵乘积关于{1,2,3}-逆与{1,3,4}-逆的交换律以及混合交换律成立的充分必要条件.
Using the matrix rank method and singular value decomposition,the commutative laws and mixed commutative laws of matrix multiplication on{1,2,3}-inverse and{1,3,4}-inverse were studied.Then necessary and sufficient conditions about the commutative laws and mixed commutative laws of matrix multiplication on{1,2,3}-inverse and{1,3,4}-inverse were established respectively.
作者
刘林林
缪迎迎
李莹
LIU Lin-lin;MIAO Ying-ying;LI Ying(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China)
出处
《聊城大学学报(自然科学版)》
2017年第4期8-14,共7页
Journal of Liaocheng University:Natural Science Edition
基金
国家自然科学基金项目(11301247)
大学生创新创业训练计划项目(201410447001)
关键词
{i
j
k}-逆
秩方法
奇异值分解
交换律
{i,j,k}-inverse
matrix rank method
singular value decomposition
commutative laws
