Results 71 to 80 of about 10,041,383 (202)

Perturbation for the Group Inverse in a Banach Algebra

Axioms
We present new additive results for the group inverse in a Banach algebra under certain perturbations. The upper bound of ∥(a+b)#−ad∥ is thereby given. These results extend the main results presented by Liu, Qin, and Wei.
Dayong Liu, Tugce Pekacar Calci, Handan Kose, Huanyin Chen   +3 more
doaj   +1 more source

Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method

Boundary Value Problems, 2008
Solving an inverse Sturm-Liouville problem requires a mathematical process to determine unknown function in the Sturm-Liouville operator from given data in addition to the boundary values.
Chein-Shan Liu
doaj   +2 more sources

Group Inverses of Weighted Trees

Bulletin of the Malaysian Mathematical Sciences Society
Let $(G,w)$ be an undirected weighted graph. The group inverse of $(G,w)$ is the weighted graph with the adjacency matrix $A^{\#}$, where $A$ is the adjacency matrix of $(G,w)$. We study the group inverse of singular weighted trees. It is shown that if $(T,w)$ is a singular weighted tree, then $T^{\#}$ is again a tree, if and only if $T$ is a star tree,
openaire   +2 more sources

Towards finding equalities involving mixed products of the Moore-Penrose and group inverses by matrix rank methodology

Demonstratio Mathematica
Given a square matrix AA, we are able to construct numerous equalities involving reasonable mixed operations of AA and its conjugate transpose A∗{A}^{\ast }, Moore-Penrose inverse A†{A}^{\dagger } and group inverse A#{A}^{\#}. Such kind of equalities can
Tian Yongge
doaj   +1 more source

Poisson inverse problems [PDF]

, 2006
In this paper we focus on nonparametric estimators in inverse problems for Poisson processes involving the use of wavelet decompositions. Adopting an adaptive wavelet Galerkin discretization, we find that our method combines the well-known theoretical ...
Antoniadis, Anestis, Bigot, Jérémie
core   +1 more source

Idempotent-Aided Factorizations of Regular Elements of a Semigroup

Mathematics
In the present paper, we introduce the concept of idempotent-aided factorization (I.-A. factorization) of a regular element of a semigroup, which can be understood as a semigroup-theoretical extension of full-rank factorization of matrices over a field ...
Miroslav Ćirić, Jelena Ignjatović, Predrag S. Stanimirović   +2 more
doaj   +1 more source

Groups, semilattices and inverse semigroups. I, II [PDF]

Transactions of the American Mathematical Society, 1974
An inverse semigroup S is called proper if the equations e a = e
openaire   +2 more sources

Antea Group Archeologie 2020/75

, 2021
Antea Group projectnummer 412729 In mei 2020 heeft Antea Group in opdracht van de opdrachtgever een archeologisch onderzoek uitgevoerd voor het plangebied ‘T020_08_AN’ te Bergen op Zoom, gemeente Bergen op Zoom.
Jong, M. de (Antea Group)
core   +1 more source

Exploratory Associations Between Multimodal MRI-Derived Features and Neurological Symptoms in Wolfram Syndrome: A Spanish Cohort Pilot Study

Diagnostics
Background/Objectives: Wolfram syndrome is an ultra-rare, progressive multisystem disorder in which endocrine and sensory manifestations coexist with neurological involvement.
Gema Esteban-Bueno, Lucas Fernández-Brillet, Juan Luis Fernández-Martínez   +2 more
doaj   +1 more source

The Group Inverse of the Combinations of Two Idempotent Operators

Abstract and Applied Analysis, 2013
We present some inverses and group inverses results for linear combinations of two idempotents and their products.
Shunqin Wang, Chunyuan Deng
doaj   +1 more source