本文選題：Drazin逆　切入點(diǎn)：預(yù)解式　出處：《數(shù)學(xué)學(xué)報(bào)(中文版)》2017年06期 　論文類型：期刊論文

【摘要】：本文討論了兩個(gè)有界線性算子和的Drazin可逆性及其表達(dá)式.在PQ~3=0,P~2Q=0,QPQ~2=0的條件下,采用預(yù)解式的Laurent展開方法,證明了P+Q是Drazin可逆的,并得到了P+Q的Drazin逆的表達(dá)式.同時(shí),還確定出P+Q的指標(biāo)的范圍ind(P+Q)≤2t+r+s—1,給出數(shù)值算例說(shuō)明結(jié)論的有效性.
[Abstract]:In this paper, we discuss the Drazin reversibility of the sum of two bounded linear operators and its expression. Under the condition of PQ ~ (3 / 0), PQ ~ (2) Q ~ (0) and Q ~ (2) Q ~ (2 +) ~ 0, we prove that PQ is Drazin reversible and obtain the expression of the Drazin inverse of PQ by using the resolvent Laurent expansion method. The range of the index of P Q (ind(P Q) 鈮，

本文編號(hào)：1639525