Zero interval limit perturbation expansion for the spectral entities of Hilbert-Schmidt operators combined with most dominant spectral component extraction: formulation and certain technicalities

DOI10.1007/s10910-017-0739-7zbMath1373.65093OpenAlexW2588635473MaRDI QIDQ2402801

Metin Demiralp, Süha Tuna

Publication date: 14 September 2017

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-017-0739-7

zbMATH Keywords

eigenvalueseigenfunctionsperturbation expansionsHilbert-Schmidt integral operatorsmost dominant spectral component extractionsingular value decomposition for continuous functions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Linear operators defined by compactness properties (47B07) Spectrum, resolvent (47A10) Integral operators (45P05) Integral operators (47G10) Eigenvalue problems for integral equations (45C05)

Related Items (2)

Zero interval limit perturbation expansion for the spectral entities of Hilbert-Schmidt operators combined with most dominant spectral component extraction: convergence and confirmative implementations ⋮ A new approach to approximate solutions for nonlinear differential equation

Uses Software

• MuPAD

Cites Work

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• A novel piecewise multivariate function approximation method via universal matrix representation
• A novel method for multivariate data modelling: Piecewise Generalized EMPR
• Reductive enhanced multivariance product representation for multi-way arrays
• A factorized high dimensional model representation on the nodes of a finite hyperprismatic regular grid
• The influence of the support functions on the quality of enhanced multivariance product representation
• Solving the adsorption integral equation with Langmuir-kernel and the influence of temperature on the stability of the solution
• Mixed boundary value problems of thermopiezoelectricity for solids with interior cracks
• New applications of integral equations methods for solvation continuum models: Ionic solutions and liquid crystals
• Efficient input-output model representations
• Perturbation theory for linear operators.
• On autonomy imposition in zero interval limit perturbation expansion for the spectral entities of Hilbert-Schmidt integral operators
• A new approach for multivariate data modelling in orthogonal geometry
• A new approach for data partitioning through high dimensional model representation
• Some perturbation problems in the theory of integral equations
• Efficient implementation of high dimensional model representations

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