Zero interval limit perturbation expansion for the spectral entities of Hilbert-Schmidt operators combined with most dominant spectral component extraction: convergence and confirmative implementations
| Autor: | Süha Tuna, Metin Demiralp |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
010304 chemical physics
Applied Mathematics 010102 general mathematics Mathematical analysis Perturbation (astronomy) General Chemistry Spectral component Eigenfunction 01 natural sciences Perturbation expansion Operator (computer programming) 0103 physical sciences 0101 mathematics Operator norm Implementation Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Journal of Mathematical Chemistry. 55:1278-1300 |
| ISSN: | 1572-8897 0259-9791 |
| Popis: | This is the second one of two companion papers. We have focused on the spectral entity determination in the first paper where we have considered the Hilbert-Schmidt and Pincherle-Goursat kernels. The basic idea has been the development of a perturbation expansion around the zero interval limit therein. We have emphasized on the case of most dominant eigenvalue and corresponding eigenfunction by taking the half-interval length as the perturbation parameter after universalizing the given (finite) interval of the integral operator. The basic issues in the formulation of the perturbation expansion and certain technicalities were kept as the main theme of the paper in the first companion paper. This second companion paper, however, has been designed to focus on the convergence discussions and confirmative implementations. It also presents a numerical comparison between proposed method and various well known approximation methods residing in scientific literature. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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