Weighted extended g-Drazin inverse
Sign Up to like & getrecommendations! Published in 2019 at "Aequationes mathematicae"
DOI: 10.1007/s00010-019-00656-7
Abstract: AbstractWe define a weighted extended g-Drazin inverse for Banach algebra elements, generalizing the concepts of extended g-Drazin inverse and weighted g-Drazin inverse. We characterize weighted extended g-Drazin invertible elements and present some representations of a… read more here.
Keywords: weighted extended; inverse weighted; extended drazin; drazin inverse ... See more keywords
Nonlinearly Activated Recurrent Neural Network for Computing the Drazin Inverse
Sign Up to like & getrecommendations! Published in 2017 at "Neural Processing Letters"
DOI: 10.1007/s11063-017-9581-y
Abstract: Four gradient-based recurrent neural networks for computing the Drazin inverse of a square real matrix are developed. Theoretical analysis shows that any monotonically-increasing odd activation function ensures the global convergence performance of defined neural network… read more here.
Keywords: neural network; drazin inverse; computing drazin; recurrent neural ... See more keywords
The Drazin inverse of anti-triangular block matrices
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-021-01638-2
Abstract: The aim of this paper is to establish formulae for the Drazin inverse of anti-triangular block matrices under new assumptions in literature. Precisely, we consider the Drazin inverse of three kinds of anti-triangular block matrices.… read more here.
Keywords: anti triangular; drazin inverse; block; triangular block ... See more keywords
Additive Results for the Generalized Drazin Inverse in a Banach Algebra
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-015-0143-z
Abstract: Under new conditions on Banach algebra elements a and b, we derive explicit expressions for the generalized Drazin inverse of the sum $$a+b$$a+b. As an application of our results, we present new representations for the… read more here.
Keywords: drazin inverse; banach algebra; additive results; generalized drazin ... See more keywords
Extended g-Drazin Inverse in a Banach Algebra
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-019-00722-y
Abstract: We introduce and investigate a new generalized inverse as an extension of the g-Drazin inverse in a Banach algebra. This new inverse will be called an extended g-Drazin inverse. Using idempotents, we characterize this inverse… read more here.
Keywords: banach algebra; inverse banach; extended drazin; drazin inverse ... See more keywords
Explicit formulae for the generalized drazin inverse of block matrices over a Banach algebra
Sign Up to like & getrecommendations! Published in 2018 at "Filomat"
DOI: 10.2298/fil1817907z
Abstract: In this paper, we give expressions for the generalized Drazin inverse of a (2,2,0) block matrix over a Banach algebra under certain circumstances, utilizing which we derive the generalized Drazin inverse of a 2× 2… read more here.
Keywords: drazin inverse; inverse block; banach algebra; generalized drazin ... See more keywords
The p-Drazin inverse for operator matrix over Banach algebras
Sign Up to like & getrecommendations! Published in 2020 at "Filomat"
DOI: 10.2298/fil2014597c
Abstract: An element a in a Banach algebra A has p-Drazin inverse provided that there exists b ? comm(a) such that b = b2a,ak-ak+1b?J(A) for some k ? N. In this paper, we present new conditions… read more here.
Keywords: drazin inverse; banach; operator matrix;
Drazin inverse of singular adjacency matrices of directed weighted cycles
Sign Up to like & getrecommendations! Published in 2020 at "Revista De La Union Matematica Argentina"
DOI: 10.33044/revuma.v61n2a02
Abstract: We present a necessary and sufficient condition for the singularity of circulant matrices associated with directed weighted cycles. This condition is simple and independent of the order of matrices from a complexity point of view.… read more here.
Keywords: directed weighted; weighted cycles; inverse singular; drazin inverse ... See more keywords