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On the convergence of second-order spectra and multiplicity [PDF]

open access: yesProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2010
The notion of second-order relative spectrum of a self-adjoint operator acting on a Hilbert space has been studied recently in connection with the phenomenon of spectral pollution in the Galerkin method. In this paper we examine how the second-order spectrum encodes precise information about the multiplicity of the isolated eigenvalues of the ...
Boulton, L., Strauss, M.
openaire   +4 more sources

High-Order Hybrid Stratified Sampling: Fast Uniform-Convergence Fourier Transform Estimation [PDF]

open access: yes, 2018
This paper considers the problem of estimating the Fourier transform of continuous-time signals from N nonuniformly collected observations. Here, we introduce a new class of Hybrid Stratified sampling scheme in conjunction with a suitable estimator ...
Al-Ani, M.   +5 more
core   +1 more source

Simple and efficient fifth order solvers for systems of nonlinear problems

open access: yesMathematical Modelling and Analysis, 2023
In this study, two multi-step iterative techniques of fifth order convergence are explored to solve nonlinear equations. The techniques are designed with the prime objective of keeping the computational cost as low as possible.
Harmandeep Singh, Janak Raj Sharma
doaj   +1 more source

Convergence of a second order Markov chain [PDF]

open access: yesApplied Mathematics and Computation, 2014
16 pages, 3 ...
Sheng-Long Hu, Liqun Qi 0001
openaire   +2 more sources

The Sinkhorn-Knopp algorithm : convergence and applications [PDF]

open access: yes, 2008
As long as a square nonnegative matrix A contains sufficient nonzero elements, then the Sinkhorn-Knopp algorithm can be used to balance the matrix, that is, to find a diagonal scaling of A that is doubly stochastic.
Knight, P.A.
core   +1 more source

Local convergence of a fifth convergence order method in Banach space

open access: yesArab Journal of Mathematical Sciences, 2017
We provide a local convergence analysis for a fifth convergence order method to find a solution of a nonlinear equation in a Banach space. In our paper the sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative ...
Ioannis K. Argyros, Santhosh George
doaj   +1 more source

Finite Difference Method for Two-Sided Two Dimensional Space Fractional Convection-Diffusion Problem with Source Term

open access: yesMathematics, 2020
In this paper, we have considered a numerical difference approximation for solving two-dimensional Riesz space fractional convection-diffusion problem with source term over a finite domain. The convection and diffusion equation can depend on both spatial
Eyaya Fekadie Anley, Zhoushun Zheng
doaj   +1 more source

Extending the Applicability of Highly Efficient Iterative Methods for Nonlinear Equations and Their Applications

open access: yesMathematics, 2022
Numerous three-step methods of high convergence order have been developed to produce sequences approximating solutions of equations usually defined on the Euclidean space with a finite dimension.
Ramandeep Behl   +3 more
doaj   +1 more source

On convergence of the maximum block improvement method [PDF]

open access: yes, 2015
. The MBI (maximum block improvement) method is a greedy approach to solving optimization problems where the decision variables can be grouped into a finite number of blocks. Assuming that optimizing over one block of variables while fixing all others is
Shuzhong Zhang   +5 more
core   +2 more sources

On (Δm,I)-Statistical Convergence of Order α

open access: yesThe Scientific World Journal, 2014
The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δm,I)-statistical convergence of order α and strong (Δpm,I)-Cesàro ...
Mikail Et   +2 more
doaj   +1 more source

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