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Through a generalized inverse

open access: yesDemonstratio Mathematica, 2008
AbstractTraditionally, the existence of a generalized inverse of a ...
Czesław Stępniak
openaire   +2 more sources

Inversion of a Generalized Laplace Integral [PDF]

open access: yesProceedings of the National Academy of Sciences, 1942
Not ...
openaire   +3 more sources

The Forward Order Law for Least Squareg-Inverse of Multiple Matrix Products

open access: yesMathematics, 2019
The generalized inverse has many important applications in the aspects of the theoretic research of matrices and statistics. One of the core problems of the generalized inverse is finding the necessary and sufficient conditions of the forward order laws ...
Zhiping Xiong, Zhongshan Liu
doaj   +1 more source

Invariance property of a five matrix product involving two generalized inverses

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
Matrix expressions composed by generalized inverses can generally be written as f(A−1, A−2, . . ., A−k), where A1, A2, . . ., Ak are a family of given matrices of appropriate sizes, and (·)− denotes a generalized inverse of matrix.
Jiang Bo, Tian Yongge
doaj   +1 more source

Right core inverse and the related generalized inverses [PDF]

open access: yesCommunications in Algebra, 2018
In this article, we investigate some properties of right core inverses. Particularly, new characterizations and expressions for right core inverses are given, using projections and {1, 3}-inverses.
Long Wang, D. Mosić, Yue-Feng Gao
semanticscholar   +1 more source

Generalized inverse limits of inverse sequences of generalized inverse limits

open access: yes, 2011
The induced functions between inverse limits of compact metric spaces with upper semicontinuous bonding functions are considered. It is proved that taking such inverse limits is very close to being a functor (but is not a functor) from ICU to CU, if morphisms are mapped to induced functions.
Erceg, Goran   +4 more
openaire   +3 more sources

Skew-symmetric matrices related to the vector cross product in ℂ7

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Skew-symmetric matrices of order 7 defined through the 2-fold vector cross product in ℂ7, and other related matrices, are presented. More concretely, matrix properties, namely invertibility, nullspace, powers and index, are studied.
Beites P. D.   +2 more
doaj   +1 more source

Inverse scattering transformation for generalized nonlinear Schrödinger equation

open access: yesApplied Mathematics Letters, 2019
Based on the robust inverse scattering method, the high-order rogue wave of generalized nonlinear Schrodinger equation with nonzero boundary is given. Using this method, we only need the elementary Darboux transformation but not with the limit progress ...
Xiao-En Zhang, Yong Chen
semanticscholar   +1 more source

An Inverse Problem for a Generalized Fractional Derivative with an Application in Reconstruction of Time- and Space-Dependent Sources in Fractional Diffusion and Wave Equations

open access: yesMathematics, 2019
In this article, we consider two inverse problems with a generalized fractional derivative. The first problem, IP1, is to reconstruct the function u based on its value and the value of its fractional derivative in the neighborhood of the final time.
N. Kinash, J. Janno
semanticscholar   +1 more source

A Decoupling Control Method for Shunt Hybrid Active Power Filter Based on Generalized Inverse System

open access: yesJournal of Electrical and Computer Engineering, 2017
In this paper, a novel decoupling control method based on generalized inverse system is presented to solve the problem of SHAPF (Shunt Hybrid Active Power Filter) possessing the characteristics of 2-input-2-output nonlinearity and strong coupling.
Xin Li, Bo Li
doaj   +1 more source

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