The drazin inverse of the sum of two matrices
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Dijana Mosić
Abstract
In this paper, we present new explicit formulas for the Drazin inverse of the sum of two matrices, under conditions weaker than those used in some recent results.
This work was supported by the Ministry of Education and Science, Republic of Serbia, Grant No. 174007.
Communicated by Gregor Dolinar
References
[1] Ben-Israel, A.—Greville, T. N. E.: Generalized Inverses: Theory and Applications, 2nd ed., Springer, New York, 2003.Search in Google Scholar
[2] Campbell, S. L.–Meyer, C. D.: Generalized Inverse of Linear Transformations, Dover, New York, 1991.Search in Google Scholar
[3] Castro-González, N.—Dopazo, E.—Martínez-Serrano, M. F.: On the Drazin inverse of the sum of two operators and its application to operator matrices, J. Math. Anal. Appl. 350 (2009), 207–215.10.1016/j.jmaa.2008.09.035Search in Google Scholar
[4] Drazin, M. P.: Pseudoinverse in associative rings and semigroups, Amer. Math. Monthly 65 (1958), 506–514.10.1080/00029890.1958.11991949Search in Google Scholar
[5] Hartwig, R. E.—Wang, G.: Some additive results on Drazin inverse, Linear Algebra Appl. 322 (2001), 207–217.10.1016/S0024-3795(00)00257-3Search in Google Scholar
[6] Patrício, P.—Hartwig, R. E.: Some additive results on Drazin inverse, Appl. Math. Comput. 215 (2009), 530–538.10.1016/j.amc.2009.05.021Search in Google Scholar
[7] Višnjić, J.: On some previous results for the Drazin inverse of block matrices, Filomat 30 (2016), 125–130.10.2298/FIL1601125VSearch in Google Scholar
[8] Yang, H.—Liu X.: The Drazin inverse of the sum of two matrices and its applications, J. Comput. Appl. Math. 235 (2011), 1412–1417.10.1016/j.cam.2010.08.027Search in Google Scholar
© 2018 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- A multi-parameter generalization of the symmetric algorithm
- Single identities forcing lattices to be Boolean
- Weighted uniform density ideals
- A generalized class of restricted Stirling and Lah numbers
- The Riemann hypothesis and universality of the Riemann zeta-function
- Distance functions on the sets of ordinary elliptic curves in short Weierstrass form over finite fields of characteristic three
- The drazin inverse of the sum of two matrices
- Refinements of the majorization-type inequalities via green and fink identities and related results
- Characterizations and properties of graphs of Baire functions
- Some improvements of the young mean inequality and its reverse
- On characteristic of bounded analytic functions involving hyperbolic derivative
- A uniqueness problem for entire functions related to Brück’s conjecture
- System of nonlocal resonant boundary value problems involving p-Laplacian
- Construction of a unique mild solution of one-dimensional Keller-Segel systems with uniformly elliptic operators having variable coefficients
- Infinitely many solutions for non-homogeneous Neumann problems in Orlicz-Sobolev spaces
- Characterization of rough weighted statistical limit set
- Approximation by Baskakov-Durrmeyer operators based on (p, q)-integers
- On generalized 4-th root metrics of isotropic scalar curvature
- Compactifications from generators and relations
- Diophantine quadruples with values in k-generalized Fibonacci numbers
