Results 91 to 100 of about 561,362 (306)

Darboux transformation with dihedral reduction group [PDF]

, 2014
We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generalisation of the periodic Volterra lattice. The resulting Bäcklund transformation can be viewed as a nonevolutionary integrable differential difference ...
Papamikos, Georgios, Jing Ping Wang, Alexander V. Mikhailov, Mikhailov, Alexander V, Mikhailov, Alexander V., Georgios Papamikos, Wang, Jing Ping   +6 more
core   +1 more source

The group inverse of some circulant matrices [PDF]

, 2020
In a previous work the authors presented the necessary and sufficient conditions for the invertibility of some circulant matrices that depend on three real parameters and, moreover, we obtained a closed formula for their inverse.
Encinas Bachiller, Andrés Marcos, Mitjana Riera, Margarida, Carmona Mejías, Ángeles, Jiménez Jiménez, María José   +3 more
core   +1 more source

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

Advancing Age Modulates Associations Between Cognitive Impairment and Brain Volumes in Early MS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Introduction Cognitive impairment is common in multiple sclerosis (MS), but manifestations following the first demyelinating event are relatively unexplored. We investigated cross‐sectional associations between magnetic resonance imaging (MRI)–derived brain volumes and the presence of cognitive impairment outcomes five years after the first ...
Piriyankan Ananthavarathan, Marco Pitteri, Michael Foster, Sara Collorone, Sara Salama, Elisa Colato, Ferran Prados, Baris Kanber, Marios Yiannakas, Claudia A. M. Gandini Wheeler‐Kingshott, Indran Davagnanam, Frederik Barkhof, Declan Chard, Olga Ciccarelli, Ahmed Toosy   +14 more
wiley   +1 more source

Prodromal Lewy Body Disorder Features in REM Sleep Behavior Disorder With Biomarker‐Defined Synucleinopathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Isolated rapid eye movement sleep behavior disorder (iRBD) is a prodromal state for Lewy body disorders and exhibits biological heterogeneity that may influence clinical expression and progression. We examined clinical features in individuals with iRBD and biomarker‐defined synucleinopathy.
Daniel Weintraub, Michele K. York, Roseanne Dobkin, Anuprita R. Nair, Ryan Kurth, David‐Erick Lafontant, Chelsea Caspell‐Garcia, Roy N. Alcalay, Ethan G. Brown, Lana M. Chahine, Christopher Coffey, Tatiana Foroud, Douglas Galasko, Karl Kieburtz, Kenneth Marek, Kalpana Merchant, Brit Mollenhauer, Kathleen L. Poston, Andrew Siderowf, Cristina Simonet, Tanya Simuni, Caroline M. Tanner, Thomas F. Tropea, Aleksandar Videnovic, The Parkinson's Progression Markers Initiative   +24 more
wiley   +1 more source

Statistical inference for inverse problems [PDF]

In this paper we study statistical inference for certain inverse problems. We go beyond mere estimation purposes and review and develop the construction of confidence intervals and confidence bands in some inverse problems, including deconvolution and ...
Bissantz, Nicolai, Holzmann, Hajo
core  

m-generalized group inverse in Banach algebras

In this paper, we introduce the notion of the $m$-generalized group inverse in a *-Banach algebra. This is a natural generalization of $m$-weak group inverse and generalized group inverse.
Huanyin Chen
core   +1 more source

Group inverse of finite potent endomorphisms on arbitrary vector spaces

, 2020
[EN]The aim of this work is to introduce the group inverse of a finite potent endomorphism on an infinite-dimensional vector space that generalizes the notion of group inverse of a square finite matrix.
Pablos Romo, Fernando, Fernando Pablos Romo   +1 more
core   +1 more source

Group inverse matrix of the normalized Laplacian on subdivision networks [PDF]

, 2020
In this paper we consider a subdivision of a given network and we show how the group inverse matrix of the normalized laplacian of the subdivision network is related to the group inverse matrix of the normalized laplacian of the initial given network ...
Mitjana Riera, Margarida, Carmona Mejías, Ángeles, Monsó Burgués, Enrique P.J.   +2 more
core   +1 more source

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