Results 71 to 80 of about 2,506 (306)

Rank structure of generalized inverses of rectangular banded matrices

open access: yes, 2005
We describe rank structures in generalized inverses of possibly rectangular banded matrices. In particular, we show that various kind of generalized inverses of rectangular banded matrices have submatrices whose rank depends on the bandwidth and on the ...
Del Corso, Gianna M.   +3 more
core   +2 more sources

Optimization Problems of Hermitian Quadratic Matrix-Valued Functions and Applications

open access: yesAxioms
In this paper, we investigate optimization problems for a Hermitian quadratic matrix-valued function involving two variable matrices. We derive algebraic formulas for the maximal and minimal ranks and partial inertias of this function based on a ...
Sihem Guerarra
doaj   +1 more source

Generalized lower characteristic involving measures of non-strict singularity

open access: yesTopological Algebra and its Applications, 2023
This work establishes a connection between the class of generalized lower characteristic operators and [⋅]a{\left[\cdot ]}_{a} acting on a Banach space involving measures of non-strict singularity.
Baraket Sami   +2 more
doaj   +1 more source

Does Long‐Term Lower Extremity Strength Training in Adults With Knee Osteoarthritis and Varus Alignment Reduce Knee Joint Loading During Gait?

open access: yesArthritis Care &Research, EarlyView.
Objective We examined whether 18 months of strength training in individuals with knee varus alignment and medial tibiofemoral osteoarthritis (OA) reduced knee joint loads during walking compared to an attention control group. Methods This study was a secondary analysis of a randomized clinical trial that compared the effects of strength training to a ...
Stephen P. Messier   +12 more
wiley   +1 more source

Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯

open access: yesJournal of Mathematics, 2023
In this paper, the algebraic perturbation theorems of the core inverse A㊮ and core-EP inverse A㊯ are discussed for a square singular matrix A with different indices, and the expressions of the algebraic perturbation for these two new generalized inverses
Xingping Sheng
doaj   +1 more source

On generalized inverses of Boolean Matrices

open access: yes, 1975
Generalized inverses of Boolean Matrices are defined and the general form of matrices having generalized inverses is determined. Some structure theorems are proved, from which, some known results are obtained as corollaries.
Bhaskara Rao, K.P.S.   +1 more
core   +1 more source

Moderators of the Effects of Exercise and Manual Therapy for People With Knee and Hip Osteoarthritis: A Secondary Analysis of a Randomized Clinical Trial

open access: yesArthritis Care &Research, EarlyView.
Objective This study aimed to investigate potential moderators influencing the effects of manual therapy and exercise therapy on pain and functional outcomes in individuals with knee and/or hip osteoarthritis, using data from the MOA trial. This is a secondary analysis of data from the MOA trial that compares the clinical effectiveness of manual ...
Daniel Cury Ribeiro   +2 more
wiley   +1 more source

Generalized inverses on normed vector spaces

open access: yes, 1979
We extend the concepts, introduced by C.R. Rao for Euclidean norms, of minimum g-inverses and least square g-inverses, using arbitrary norms. We give a characterization of such generalized inverses and an application to the case in which the norm is l ...
De Chela, Delia Flores
core   +1 more source

Risk of Retinopathy Associated with Long‐Term Use of Hydroxychloroquine in Patients with Rheumatic Diseases: A Systematic Review and Meta‐Analysis

open access: yesArthritis Care &Research, EarlyView.
Objective We aimed to estimate the prevalence and cumulative incidence of hydroxychloroquine retinopathy (HCQ‐R) and its risk factors among patients receiving long‐term HCQ with rheumatic diseases through a systematic review and meta‐analysis of observational studies that used spectral‐domain optical coherence tomography (SD‐OCT) for screening ...
Narsis Daftarian   +4 more
wiley   +1 more source

Further results on Left and Right Generalized Drazin Invertible Operators

open access: yesМатематичні Студії, 2020
In this paper we present some new characteristics and expressions of left and right generalized Drazin invertible bounded operators on a Banach space $X.$ An explicit formula relating the left and the right generalized Drazin inverses to spectral ...
So. Messirdi, Sa. Messirdi, B. Messirdi
doaj   +1 more source

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