Results 11 to 20 of about 1,077,728 (350)
Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations [PDF]
Journal of Inequalities and Applications, 2007 By virtue of an operator-theoretical approach, we deal with hyperbolic singular perturbation problems for integrodifferential equations. New convergence theorems for such singular perturbation problems are obtained, which generalize some previous results
Jin Liang, Ti-Jun Xiao, James Liu
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Rank-one perturbation bounds for singular values of arbitrary matrices
Journal of Inequalities and Applications, 2019 Rank-one perturbation of arbitrary matrices has many practical applications. In this paper, based on the relationship between the singular values and the eigenvalues, we discuss singular value variations and present two-side bounds of the singular values
Lei Zhu, Xiaofei Peng, Hao Liu
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Computational singular perturbation analysis of brain lactate metabolism. [PDF]
PLoS ONE, 2019 Lactate in the brain is considered an important fuel and signalling molecule for neuronal activity, especially during neuronal activation. Whether lactate is shuttled from astrocytes to neurons or from neurons to astrocytes leads to the contradictory ...
Dimitris G Patsatzis +3 more
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Perturbation determinants for singular perturbations [PDF]
Russian Journal of Mathematical Physics, 2014 Let A be a densely defined symmetric operator and let {Ae0 , Ae} be an ordered pair of proper extensions of A such that their resolvent difference is of trace class. We study the perturbation determinant ∆Ae0/Ae(·) of the singular pair {Ae0 , Ae} by using the boundary triplet approach.
Malamud, Mark M., Neidhardt, Hagen
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Motion control and singular perturbation algorithms for lower limb rehabilitation robots [PDF]
Frontiers in NeuroroboticsTo better assist patients with lower limb injuries in their rehabilitation training, this paper focuses on motion control and singular perturbation algorithms and their practical applications.
Yanchun Xie +5 more
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Componentwise Perturbation Analysis of the Singular Value Decomposition of a Matrix
Applied SciencesA rigorous perturbation analysis is presented for the singular value decomposition (SVD) of a real matrix with full column rank. It is proved that the SVD perturbation problem is well posed only when the singular values are distinct.
Vera Angelova, Petko Petkov
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Perturbation bounds for eigenvalues of diagonalizable matrices and singular values [PDF]
Journal of Inequalities and Applications, 2016 Perturbation bounds for eigenvalues of diagonalizable matrices are derived. Perturbation bounds for singular values of arbitrary matrices are also given. We generalize some existing results.
Duanmei Zhou +3 more
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Singular viscoelastic perturbation to soft lubrication
Physical Review ResearchSoft lubrication has been shown to drastically affect the mobility of an object immersed in a viscous fluid in the vicinity of a purely elastic wall. In this theoretical article, we develop a minimal model incorporating viscoelasticity, carrying out a ...
Bharti +7 more
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Singular Perturbation of Nonlinear Systems with Regular Singularity [PDF]
Discrete Dynamics in Nature and Society, 2018 We extend Balser-Kostov method of studying summability properties of a singularly perturbed inhomogeneous linear system with regular singularity at origin to nonlinear systems of the form εzf′=Fε,z,f with F a Cν-valued function, holomorphic in a polydisc
Domingos H. U. Marchetti +1 more
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Numerical solutions of linear and nonlinear singular perturbation problems
Computers and Mathematics With Applications, 2008 A new method is developed by detecting the boundary layer of the solution of a singular perturbation problem. On the non-boundary layer domain, the singular perturbation problem is dominated by the reduced equation which is solved with standard ...
Schultz, David H. +2 more
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