矩阵和关于{1,2,3}-逆与{1,3,4}-逆的混合吸收律  

The Mixed Absorption Laws of Matrix Sum on {1,2,3}-Inverses and {1,3,4}-Inverses

作　　者：缪迎迎 刘林林 李莹[1] MIAO Ying-ying;LIU Lin-lin;LI Ying(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059 China)

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《聊城大学学报(自然科学版)》2017年第4期15-21,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)资助

摘　　要：利用矩阵的秩方法与广义schur补,对矩阵和关于广义逆的混合吸收律进行了研究,推导出相关矩阵的极秩表达式,并得到两个矩阵和关于{1,2,3}-逆与{1,3,4}-逆的混合吸收律成立的充要条件.The mixed absorption laws was investigated and the relative matrix expressions were given by using the matrix rank method and the generalized Schur complement.Based on that,the conditions that mixed absorption laws of the sum of two matrices on{1,2,3}-inverse and{1,3,4}-inverse holds were obtained.

关 键 词：{i j k}-逆 广义SCHUR补 秩方法 混合吸收律 

分 类 号：O151.21[理学—数学]