Results 41 to 50 of about 1,078,761 (224)

Note on Logarithmic Switchback Terms in Regular and Singular Perturbation Expansions [PDF]

, 1984
The occurrence of logarithmic switchback is studied for ordinary differential equations containing a parameter k which is allowed to take any value in a continuum of real numbers and with boundary conditions imposed at x = ε and x = ∞.
Lagerstrom, P. A., Reinelt, D. A.
core   +1 more source

Perturbation bounds for eigenvalues of diagonalizable matrices and singular values

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, Guoliang Chen, Guoxing Wu, Xiaoyan Chen   +3 more
doaj   +1 more source

Singular perturbation methods for ordinary differential equations [PDF]

, 1992
Jr. Robert E. O'Malley
openalex   +2 more sources

Componentwise Perturbation Analysis of the Singular Value Decomposition of a Matrix

Applied Sciences
A 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
doaj   +1 more source

Existence of Solitary Waves in a Perturbed KdV-mKdV Equation

Journal of Mathematics, 2021
In this paper, we establish the existence of a solitary wave in a KdV-mKdV equation with dissipative perturbation by applying the geometric singular perturbation technique and Melnikov function.
Chengqun Li, Minzhi Wei, Yuanhua Lin
doaj   +1 more source

Basic Concepts Underlying Singular Perturbation Techniques [PDF]

, 1972
In many singular perturbation problems multiple scales are used. For instance, one may use both the coordinate x and the coordinate x^* = ε^(-1)x. In a secular-type problem x and x^* are used simultaneously.
Casten, R. G., Lagerstrom, P. A.
core   +1 more source

Rate-Optimal Perturbation Bounds for Singular Subspaces with Applications to High-Dimensional Statistics [PDF]

, 2016
Perturbation bounds for singular spaces, in particular Wedin's $\sin \Theta$ theorem, are a fundamental tool in many fields including high-dimensional statistics, machine learning, and applied mathematics.
T. Cai, Anru R. Zhang
semanticscholar   +1 more source

Highlighting Link Prediction in Bipartite Networks via Structural Perturbation

IEEE Access, 2018
Most of the link prediction algorithms for bipartite networks assume that the generation of link is based on a predefined prior assumption. However, for the real-world bipartite networks, the generation mechanism of link is still ambiguous due to their ...
Xue Chen, Wenjun Wang, Wei Yu, Pengfei Jiao, Yueheng Sun   +4 more
doaj   +1 more source

Piecewise reproducing kernel-based symmetric collocation approach for linear stationary singularly perturbed problems

AIMS Mathematics, 2020
The aim of this paper is to develop an accurate symmetric collocation scheme for a class of linear stationary singular perturbation problems with two boundary layers.
F. Z. Geng
doaj   +1 more source

A Singular Tempered Sub-Diffusion Fractional Equation with Changing-Sign Perturbation

Axioms
In this paper, we establish some new results on the existence of positive solutions for a singular tempered sub-diffusion fractional equation involving a changing-sign perturbation and a lower-order sub-diffusion term of the unknown function.
Xinguang Zhang, Jingsong Chen, Lishuang Li, Yonghong Wu   +3 more
doaj   +1 more source