Results 21 to 30 of about 59,362 (243)
The Electronic Journal of Linear Algebra, 2011 Summary: Necessary and sufficient conditions for a number of reverse order laws and mixed-type reverse order laws are derived by using the maximal ranks of the generalized Schur complements.
Xiong, Zhiping, Zheng, Bing
openaire +3 more sources
A Note on the Reverse Order Law for g-Inverse of Operator Product
, 2022 The generalized inverse has many important applications in aspects of the theoretical research of matrices and statistics. One of the core problems of the generalized inverse is finding the necessary and sufficient conditions of the reverse order laws ...
Zhiping Xiong, Yingying Qin
core +1 more source
Further results on the reverse-order law
Linear Algebra and its Applications, 1979 AbstractAn explicit expression is obtained for a pair of generalized inverses (B−,A−) such that B−A−=(AB)+MN, and a class of pairs (B−,A− of this property is shown. A necessary and sufficient condition for (AB)− to have the expression B−A− is also given.
Shinozaki, Nobuo, Sibuya, Masaaki
openaire +2 more sources
Reverse-order law for weighted Moore–Penrose inverse of tensors [PDF]
Advances in Operator Theory, 2019 15 ...
Krushnachandra Panigrahy +1 more
openaire +2 more sources
Reverse order laws for the Drazin inverses
Journal of Mathematical Analysis and Applications, 2016 Let \({\mathcal B}({\mathcal H})\) denote the space of all bounded linear operators on a complex Hilbert space \({\mathcal H}\). Let \(T \in {\mathcal B}({\mathcal H})\). If there exists \(X \in {\mathcal B}({\mathcal H})\) such that \(TX=XT, ~XTX=X\) and \(T^{K+1}X=T^k\), where \(k\) denotes the index of \(T\), then such an \(X\) is unique and is ...
Xiunan Wang +3 more
openaire +2 more sources
Fluid Biomarkers of Disease Burden and Cognitive Dysfunction in Progressive Supranuclear Palsy
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Identifying objective biomarkers for progressive supranuclear palsy (PSP) is crucial to improving diagnosis and establishing clinical trial and treatment endpoints. This study evaluated fluid biomarkers in PSP versus controls and their associations with regional 18F‐PI‐2620 tau‐PET, clinical, and cognitive outcomes.
Roxane Dilcher +10 more
wiley +1 more source
Mixed-type reverse order law for products of three operators
, 2011 We present new results related to the mixed-type reverse order law for the Moore–Penrose inverse of various products of three operators on Hilbert spaces.
Djordjević, Dragan S. +3 more
core +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Considerable efforts have been dedicated to developing effective treatments for post‐stroke executive impairment (PSEI), among which repetitive transcranial magnetic stimulation (rTMS) has shown great potential. This study aimed to investigate the therapeutic effects of high‐frequency rTMS on working memory (WM) and response ...
Mengting Lao +6 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.This study presents a reversible temperature sensor with high switching ratio, ∼103. The device is fabricated using PET‐ITO and carbon nanotube dispersions in alkane. Considering its application in cold chain logistics, a proof‐of‐concept with LED is showcased. Thus, a temperature drop below the threshold temperature (crystallization temperature of the
Sunil Kumar Behera +8 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo +3 more
wiley +1 more source