Results 111 to 120 of about 340 (155)

The Representation and Iterative Methods for Drazin Inverse with Complex Spectrum

, 2001
A general iterative method for the Drazin inverse of a squre matrix with complex spectrum and its error bound are derived. Euler-Knopp and Newton-Raphson methods for the real spectrum case are generalized.
Wei, Yimin, Li, Xiezhang
core  

Proceedings of the Addiction Health Services Research (AHSR) 2020: Virtual Conference: Part 2. [PDF]

Addict Sci Clin Pract, 2020
europepmc   +1 more source

D-analogue of an algorithm for determining single-parametric Drazin generalized inverse matrix based on matrix full rank factorization

, 2014
Актуальность работы обусловлена широким применением обобщенной обратной матрицы Дразина в теории конечных цепей Маркова, в решении нестационарных линейных систем дифференциальных уравнений, при решении рекуррентных уравнений и задач оптимального ...
Асланян, Гамлет Арменович, Симонян, Саргис Оганесович   +1 more
core  

Application of the Drazin Inverse on the Solution of the first-order linear singular differential equations

The Drazin Inverse is a generalized form of inverse that shares similar properties with a square matrix; hence, the Drazin inverse is only defined for a square matrix.
Mohammad Rahim Rahimi, Abdulsaboor Faizi
core  

Generalized Inverse Preservers of Hadamard Circulant Majorization

Let $T\colon M_n\rightarrow M_n$ preserve Hadamard circulant majorization. In this note, we show that this property is inherited by the three most popular generalized inverses, viz.
Hsu, C. C., Raickwade, P. R., Sivakumar, K. C.   +2 more
core  

Generalized Drazin-Riesz invertible elements in a semi-simple Banach algebra

We extend the notion of generalized Drazin-Riesz inverse introduced for bounded linear operators in \cite{Ziv} to elements in a complex unital semi-simple Banach algebra.
Abad, Othman, Zguitti, Hassan
core  

Extended generalized Drazin inverse in a ring

Novi Sad Journal of Mathematics
Mohammed Karmouni, Mbark Abkari, Abdelaziz Tajmouati   +2 more
openaire   +1 more source

On the Generalized Drazin Inverse and Generalized Resolvent [PDF]

Czechoslovak Mathematical Journal, 2001
summary:We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced.
Dragan S Djordjevic, Predrag S Stanimirović, Djordjevic Dragan S   +2 more
exaly   +4 more sources

New additive results for the generalized Drazin inverse

Journal of Mathematical Analysis and Applications, 2010
In this paper, we investigate additive properties of generalized Drazin inverse of two Drazin invertible linear operators in Banach spaces. Under the commutative condition of PQ=QP, we give explicit representations of the generalized Drazin inverse (P+Q ...
Yimin Wei
exaly   +2 more sources