Results 1 to 10 of about 146 (131)

Minimal Rank Properties of Outer Inverses with Prescribed Range and Null Space

Mathematics, 2023
The purpose of this paper is to investigate solvability of systems of constrained matrix equations in the form of constrained minimization problems.
Dijana Mosić, Predrag S. Stanimirović, Spyridon D. Mourtas   +2 more
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A Representation of the Drazin Inverse for the Sum of Two Matrices and the Anti-Triangular Block Matrices

Mathematics, 2023
In this paper, a new formula for the Drazin inverse for the Sum of Two Matrices is given under conditions weaker than those used in some current literature.
Li Guo, Guangli Hu, Deyue Yu, Tian Luan
doaj   +1 more source

B-Fredholm Spectra of Drazin Invertible Operators and Applications

Axioms, 2021
In this article, we consider Drazin invertible operators for study of the relationship between their B-Fredholm spectra and the transfer between some of the spectral properties defined through B-Fredholm spectra of this class of operators.
Elvis Aponte, Jhixon Macías, José Sanabria, José Soto   +3 more
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Some results on Drazin-Dagger matrices, reciprocal matrices, and conjugate EP matrices [PDF]

Journal of Mahani Mathematical Research
In this paper, a class of matrices, namely, Drazin-dagger matrices, in which the Drazin inverse andthe Moore-Penrose inverse commute, is introduced. Also, some properties of the generalized inverses of these matrices, are investigated.
Mahdiyeh Mortezaei, Gholamreza Aghamollaei   +1 more
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The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem

Journal of Mathematics, 2021
Based on the core-EP decomposition, we use the WG inverse, Drazin inverse, and other inverses to give some new characterizations of the WG matrix.
Na Liu, Hongxing Wang
doaj   +1 more source

Representations for the Drazin inverses of block matrices

MATEC Web of Conferences, 2016
In this paper, we investigate representations of the Drazin inverse of a 2 × 2 block matrix. The Drazin inverse of a matrix is very important in various applied mathematical fields like machinery and automation, singular differential equations. We give a
Guo Li, Wang Jie, Du Wenming
doaj   +1 more source

Results on the controllability of Caputo’s fractional descriptor systems with constant delays [PDF]

Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023
The paper investigates the controllability of fractional descriptor linear systems with constant delays in control. The Caputo fractional derivative is considered.
Beata Sikora
doaj   +1 more source

Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices

The Scientific World Journal, 2015
We investigate additive properties of the generalized Drazin inverse in a Banach algebra A. We find explicit expressions for the generalized Drazin inverse of the sum a+b, under new conditions on a,b∈A.
Xiaoji Liu, Xiaolan Qin
doaj   +1 more source

GENERALIZED SHERMAN-MORRISON-WOODBURY FORMULA FOR THE G-DRAZIN INVERSE [PDF]

Journal of Algebraic Systems
In this paper, we present generaized Sherman-Morrison-Woodbury formula for the g-Drazin inverse in a Banachalgebra. New results for the g-Drazin invertibility of amodified element a -cdb with the generalized Schur complementdd - badc are given.
Ali Ghaffari, Marjan Sheibani Abdolyousefi, Fatemeh Zamiri   +2 more
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The Expression of the Generalized Drazin Inverse of A−CB

Abstract and Applied Analysis, 2012
We investigate the generalized Drazin inverse of A−CB over Banach spaces stemmed from the Drazin inverse of a modified matrix and present its expressions under some conditions.
Xiaoji Liu, Dengping Tu, Yaoming Yu
doaj   +1 more source