Results 81 to 90 of about 146 (131)
On the Construction of a Two-Step Sixth-Order Scheme to Find the Drazin Generalized Inverse
AxiomsThis study introduces a numerically efficient iterative solver for computing the Drazin generalized inverse, addressing a critical need for high-performance methods in matrix computations.
Keyang Zhang +2 more
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Perturbation for the Group Inverse in a Banach Algebra
AxiomsWe present new additive results for the group inverse in a Banach algebra under certain perturbations. The upper bound of ∥(a+b)#−ad∥ is thereby given. These results extend the main results presented by Liu, Qin, and Wei.
Dayong Liu +3 more
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On New Properties of the Drazin-Star and the Star-Drazin Inverses
Bulletin of the Iranian Mathematical SocietyAbstract The aim of this work is to study new properties of the Drazin-Star and the Star-Drazin inverses of a bounded finite potent operator on a Hilbert space. Given a bounded finite potent operator $$\varphi \in \operatorname {End}_k (\mathcal H)
Pablos Romo, Fernando, Mosić, Dijana
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Schur’s theorem and the Drazin inverse [PDF]
Pacific Journal of Mathematics, 1978 openaire +3 more sources
Exact steady state of perturbed open quantum systems
Physical Review ResearchWe present a general nonperturbative method to determine the exact steady state of open quantum systems under perturbation. The method works for systems with a unique steady state and the perturbation may be time-independent or periodic, and of ...
Omar Nagib, T. G. Walker
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The drazin inverse of the sum of two matrices and some applications of the drazin inverse
, 2020 Bu tez altı bölüm halinde düzenlenmiş. Birinci bölümde çalışmanın amacından bahsedilerek bir giriş verilmiştir. İkinci bölümde çalışmamızda gerekli olacak temel tanım ve teormler ifade edilmiştir. Bu bölümde genelleştirilmiş inversler ve Moore-Penrose tipi inversler incelenmiş ve bir algoritma verilerek örneklerle desteklenmiştir. Üçüncü bölümde Drazin
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On the Drazin index of regular elements
Open Mathematics, 2009 Patrício Pedro, Costa António
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A Characterization and Representation of the Drazin Inverse
SIAM Journal on Matrix Analysis and Applications, 1996Let \(A\) be a complex \(n\times n\) matrix. The index of \(A\) is the least integer \(k\) such that \(\text{rank}(A^k)=\text{rank}(A^{k+1})\). If \(A\) has rank \(k\), then the Drazin inverse is the unique \(n\times n\) matrix such that \(A^{k+1}X=A^k\), \(XAX=X\) and \(AX=XA\).
Wei Yimin
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