Results 71 to 80 of about 640 (203)

Some Results for the Drazin Inverses of the Sum of Two Matrices and Some Block Matrices

Journal of Applied Mathematics, 2013
We give a formula of (P+Q)D under the conditions P2Q+QPQ=0, P3Q=0, and PQPQ=0. Then, we apply it to give some expressions for the Drazin inverse of block matrix M=(ABCD) (A and D are square matrices) under some conditions, generalizing some recent ...
Abdul Shakoor, Hu Yang, Ilyas Ali
doaj   +1 more source

On generalized inverses of regular elements in an arbitrary semiring

上海师范大学学报. 自然科学版, 2018
In this paper, we investigate the generalized invertibility for regular elements in an arbitrary semiring. We give some sufficient conditions for the existence of a special kind of {1,2} inverse of a regular element a in an arbitrary semiring and give ...
Israr Ali Khan, Wang Qingwen
doaj   +1 more source

Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous–time systems

International Journal of Applied Mathematics and Computer Science, 2020
The Drazin inverse of matrices is applied to the analysis of pointwise completeness and pointwise degeneracy of fractional descriptor linear continuous-time systems. It is shown that (i) descriptor linear continuous-time systems are pointwise complete if
Kaczorek Tadeusz, Ruszewski Andrzej
doaj   +1 more source

Symbolic computation of Drazin inverses by specializations

Journal of Computational and Applied Mathematics, 2016
In this paper, we show how to reduce the computation of Drazin inverses over certain computable fields to the computation of Drazin inverses of matrices with rational functions as entries. As a consequence we derive a symbolic algorithm to compute the Drazin inverse of matrices whose entries are elements of a finite transcendental field extension of a ...
J. Rafael Sendra, Juana Sendra
openaire   +3 more sources

Weighted binary relations involving the Drazin inverse [PDF]

, 2015
[EN] The Drazin inverse of a matrix has been used in the literature to define a pre-order on the set of square complex matrices. In this paper we analyze new binary relations defined on the set of rectangular complex matrices and some relationships to ...
Thome, Néstor, Lattanzi, Marina Beatriz, Hernández, Araceli Elisabet   +2 more
core   +1 more source

A spectral approach for the dynamic Bradley–Terry model

Stat, Volume 13, Issue 3, September 2024.
Summary The dynamic ranking, due to its increasing importance in many applications, is becoming crucial, especially with the collection of voluminous time‐dependent data. One such application is sports statistics, where dynamic ranking aids in forecasting the performance of competitive teams, drawing on historical and current data.
Xinyu Tian, Jian Shi, Xiaotong Shen, Kai Song   +3 more
wiley   +1 more source

A note on computing the generalized inverse A T,S (2) of a matrix A

International Journal of Mathematics and Mathematical Sciences, 2002
The generalized inverse A T,S (2) of a matrix A is a {2}-inverse of A with the prescribed range T and null space S. A representation for the generalized inverse A T,S (2) has been recently developed with the condition σ (GA| T)⊂(0,∞), where G is a matrix
Xiezhang Li, Yimin Wei
doaj   +1 more source

IGMRES method for linear systems [PDF]

Journal of Mahani Mathematical Research
The Index Generalized Minimal RESidual (IGMRES) algorithm is designed to compute the Drazin-inverse solution of a linear system of equations $Ax=b$, where $A$ is an arbitrary square matrix with index $\gamma$.
Faranges Kyanfar
doaj   +1 more source

ps-drazin inverses in banach algebras

Filomat, 2019
An element a in a Banach algebra A has ps-Drazin inverse if there exists p2 = p ? comm2(a) such that (a - p)k ? J(A) for some k ? N. Let A be a Banach algebra, and let a,b ? A have ps-Drazin inverses. If a2b = aba and b2a = bab, we prove that 1. ab ? A has ps-Drazin inverse. 2. a + b ? A has ps-Drazin inverse if and only if 1 + adb ?
Chen, Huanyin, Calci, Tugce Pekacar
openaire   +3 more sources

Formulas for the Drazin inverse of matrices over skew fields

, 2016
For two square matrices P and Q over skew fields, the explicit formulas for the Drazin inverse of P+Q are given in the cases of (i) PQ2=0, P2QP=0, (QP)2=0; (ii) P2QP=0, P3Q=0, Q2=0, which extend the results in [M.F.
Baodong Zheng, Lizhu Sun, Shuyan Bai, Changjiang Bu   +3 more
core   +1 more source