Results 281 to 290 of about 62,356 (296)

Gauss–Jordan elimination method for computing outer inverses

Applied Mathematics and Computation, 2013
This paper deals with the algorithm for computing outer inverse with prescribed range and null space, based on the choice of an appropriate matrix G and Gauss-Jordan elimination of the augmented matrix [G|I]. The advantage of such algorithms is the fact that one can compute various generalized inverses using the same procedure, for different input ...
Predrag S. Stanimirovic, Marko D. Petkovic   +1 more
openaire   +1 more source

Inner-Outer Factorization and Operator Inversion

1998
Direct methods to invert large matrices may give undesired “unstable” results. We can obtain valuable insights into the mechanics of this effect by representing the matrix as a time-varying system for which it is the transfer operator. Among other things, this will allow us to handle the instability by translating “unstable” into “anti-causal” yet ...
Patrick Dewilde, Alle-Jan van der Veen
openaire   +1 more source

Outer generalized inverses with prescribed ideals

Linear and Multilinear Algebra, 2013
The outer inverse of a bounded linear operator on a Banach space is unique if we fix its range and nullspace. In this note we review several approaches to the uniqueness of the outer inverse in rings and explore the underlying idea of prescribing certain ideals in a way that mimics the operators case. Starting with Djordjevic and Wei -inverses, we show
openaire   +1 more source

Weighted G-Outer Inverse of Banach Spaces Operators

Numerical Functional Analysis and Optimization, 2022
Dijana Mosić
exaly  

G-outer inverse of Banach spaces operators

Journal of Mathematical Analysis and Applications, 2020
Dijana Mosić
exaly  

An efficient matrix iteration family for finding the generalized outer inverse

Applied Mathematics and Computation, 2022
Munish Kansal
exaly  

Outer inverse of reduced biquaternion matrices

Numerical Algorithms
Neha Bhadala, Sk. Safique Ahmad, Predrag S. Stanimirovic   +2 more
openaire   +1 more source

Integral and limit representations of the outer inverse in Banach space

Linear and Multilinear Algebra, 2012
Xiaoji Liu, Yaoming Yu, Yimin Wei
exaly  

Condition numbers for the outer inverse and constrained singular linear system

Applied Mathematics and Computation, 2006
Huaian Diao, Yimin Wei
exaly  

Further results on the (b, c)-inverse, the outer inverse AT,S(2) and the Moore–Penrose inverse in the Banach context

Linear and Multilinear Algebra, 2019
Enrico Boasso
exaly