Results 1 to 10 of about 32,117 (59)

Weighted weak group inverse for Hilbert space operators [PDF]

Frontiers of Mathematics in China, 2020
We present the weighted weak group inverse, which is a new generalized inverse of operators between two Hilbert spaces, introduced to extend weak group inverse for square matrices. Some characterizations and representations of the weighted weak group inverse are investigated.
Mosić, Dijana, Zhang, Daochang
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Weighted MP weak group inverse

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică
Abstract To extent the notion of the MP weak group inverse for square matrices, we introduce the concept of the weighted MP weak group inverse for rectangular matrices. A number of different representations and characterizations are derived for the weighted MP weak group inverse as well as limit and integral expressions.
Mosić, Dijana, Marovt, Janko
openaire   +3 more sources

Weighted MP-m-Weak Group Inverse

Ukrainian Mathematical Journal
UDC 519.6 In order to generalize the concepts of weighted MPWG inverse and MP-$m$-weak group inverse, we consider systems of matrix equations, which are extensions of systems used to define these concepts. To solve new extended systems, we introduce the notion of weighted MP-$m$-weak group inverse.
Mosić, Dijana, Marovt, Janko
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Weighted inner weak group inverse

Hacettepe Journal of Mathematics and Statistics
Solving a system of operator equations which extends early studied systems of equations, we present the notion of weighted inner weak group inverse for bounded linear operators between two Hilbert spaces. In this way, we generalize the concepts of the weighted MP weak group inverse for rectangular matrices and the 1WG inverse for square matrices.
Dijana Mosic, Gregor Doinar, Bojan Kuzma, Janko Marovt   +3 more
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The W-weighted m-weak group MP inverse and its applications

Journal of Algebra and Its Applications
We extend the concept of the [Formula: see text]-weak group MP inverse of a square matrix to a rectangular matrix, called the [Formula: see text]-weighted [Formula: see text]-weak group MP inverse, which also unifies the [Formula: see text]-weighted weak core inverse and [Formula: see text]-weighted DMP inverse.
Jiale Gao, Qing-Wen Wang, Kezheng Zuo
openaire   +2 more sources

Further properties and representations of the W -weighted m -weak group inverse

Linear and Multilinear Algebra
20 pages, 0 ...
Gao, Jiale, Wang, Qing-Wen, Zuo, Kezheng
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Bayesian Mendelian randomization reveals a protective effect of later age at first sexual intercourse against erectile dysfunction. [PDF]

Medicine (Baltimore)
Wu J, Hui X, Hui X.
europepmc   +1 more source

A two-sample bidirectional Mendelian randomization study on gut microbiota, dental caries, and toothache. [PDF]

Medicine (Baltimore)
Zhang L, Zheng X, Xia J, Guo L, Yang S.
europepmc   +1 more source

The Gut-Disc Axis: Mendelian Randomization Study Reveals Causal Effects of Gut Microbiota on Intervertebral Disc Degeneration Not Mediated by Systemic Inflammation. [PDF]

Int J Gen Med
Yan Z, Jiang Q, Lu Z, Cao S, Bai J, Ni Z, Ding Y.   +6 more
europepmc   +1 more source

Genetic Causal Association Between Vitamin E and Depression: A Two-Sample Mendelian Randomization Study. [PDF]

Brain Behav
Zhao D, Long X, Wang J.
europepmc   +1 more source