Drazin逆
WebThe Drazin inverse of a matrix of index 0 or 1 is called the group inverse or {1,2,5}-inverse and denoted A#. The group inverse can be defined, equivalently, by the properties AA#A … Web2 nov 2024 · The aim of this work is to extend to bounded finite potent endomorphisms on arbitrary Hilbert spaces the notions of the Drazin-Star and the Star-Drazin of matrices …
Drazin逆
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WebA constructive perturbation bound of the Drazin inverse of a square matrix is derived using a technique proposed by G. Stewart and based on perturbation theory for invariant subspaces. This is an improvement of the result published by the authors Wei and Li [Numer. Linear Algebra Appl., 10 (2003), pp. 563--575]. It is a totally new approach to developing … Web5 lug 2016 · A Class of Drazin Inverses in Rings Zhou Wang Mathematics 2024 A strongly direct sum decomposition given by a strongly nil-clean endomorphism motivates us to introduce a class of new Drazin inverses, which is called strong Drazin inverse. In this paper, some… 18 PDF Reverse order law for the group inverse in rings D. Mosić, D. …
http://files.ele-math.com/abstracts/oam-13-38-abs.pdf WebAdam Drazin Le parcours historique des collections ethnographiques irlandaises, historiquement les plus importantes, est inextricablement lié au passé colonialiste et post …
Web31 lug 2006 · Yimin Wei, Xiezhang Li, Fanbin Bu, A perturbation bound of the Drazin inverse of a matrix by separation of simple invariant subspaces, SIAM J. Matrix Anal. Appl., 27 (2005), 72–81 Crossref ISI WebThese extend the results on s-Drazin and Drazin inverses of Wang (Filomat, 31(2024), 1781–1789), Yang and Liu (J. Comput. Appl. Math., 235(2011), 1412–1417). As an application, we give various conditions under which a 2×2 block matrix has s-Drazin inverse. Mathematics subject classification (2010): 15A09, 32A65, 16E50.
WebMiao [15] derived representation for the Drazin inverse of (1.2) under conditions S = 0, Aπ B = 0 and CAπ = 0. In 2009, Deng and Wei [17] established the expression for the Drazin inverse of (1.2) under condition ABC= 0. At the end of Sect. 4, we will construct formula for the Drazin inverse of (1.2) under assumptions A2BC = 0 and CABC = 0. 2 ...
Web10 nov 2012 · 分块矩阵Drazin逆的表示及广义逆在矩阵方程中的应用.pdf. 矩阵广义逆在许多领域中都有着广泛的应用．如在微分方程，积分方程，算子理论，统计学，控制 … hairloft elixhausenWeb1 feb 2012 · In [3,8], the authors generalized Jacobson’s lemma to the Drazin invertibility. Motivated by these papers, we consider Jacobson’s lemma for the generalized Drazin inverse. It is shown that if 1− ab belongs to R gd ,thensodoes1− ba and, in addition, an explicit formula relating the generalized Drazin inverse of the two ... hairloft grevenbroichWeb28 ago 2024 · 3. Our aim is to present new expressions for the Drazin inverse of anti-triangular block matrices under some circumstances. Applying the established new … hairlocs extensions reviewsWebthe Drazin inverse MD under the same condition (see [10, Theorem 3.8]. In [4, Theorem 2.2], Cvetkovi´c-Ili ´c considered the Drazin inverse of M under the condition EFE = 0,EF 2 = 0. bulk tack clothWeb9 feb 2024 · In this article, we construct new explicit formulas for the Drazin inverse of \(P+Q\) under some conditions, where P and Q are singular square matrices over skew … hair loft cape girardeau moWeb18 set 2024 · 左逆和右逆都是伪逆的特殊形式 当矩阵列满秩时，左逆存在且为伪逆； 当矩阵行满秩时，右逆存在且为伪逆。 广义逆（Generalized Inverse） A^- 是 A 的伪逆，如果 AA^-A=A 。 广义逆不唯一。 Moore-Penrose逆 定义 X 是 A 的Moore-Penrose逆，如果： AXA=A XAX=X (AX)^ {\mathrm {H}} =AX (XA)^ {\mathrm {H}} =XA 其中 (\cdot) ^ {\mathrm {H}} 表 … bulk tablecloths plasticWebWe extend results of Favini, Nashed, and Zhao on singular differential equations using the -Drazin inverse and the order of a quasinilpotent operator in the sense of Miekka and … hair lodge tomball texas