| Journal: | Computational & applied mathematics |
| Database: | PERIÓDICA |
| System number: | 000310697 |
| ISSN: | 0101-8205 |
| Authors: | Velho, Haroldo F. de Campos1 Shiguemori, Elcio H Ramos, Fernando M Carvalho, Joao C2 |
| Institutions: | 1Instituto Nacional de Pesquisas Espaciais, Laboratorio Associado de Computacao e Matematica Aplicada, Sao Jose dos Campos, Sao Paulo. Brasil 2Agencia Nacional de Telecomunicacoes, Brasilia, Distrito Federal. Brasil |
| Year: | 2006 |
| Volumen: | 25 |
| Number: | 2-3 |
| Pages: | 307-330 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental |
| English abstract | Tsallis' non-extensive entropy is used as a regularization operator. The parameter ''q'' (non-extensivity parameter) has a central role in the Tsallis' thermostatiscs formalism. Here, several values of q are investigated in inverse problems, using q < 1 and q > 1. Two standard regularization techniques are recovered for special q-values: (i) q = 2 is the well known Tikhonov regularization; (ii) q = 1 is the standard Boltzmann-Gibbs-Shannon formulation for entropy. The regularization feature is illustrated in an inverse test problem: the estimation of initial condition in heat conduction problem. Two methods are studied for determining the regularization parameter, the maximum curvature for the L-curve, and the Morozov's discrepancy principle. The new regularization of higher order is applied to the retrieval of the atmospheric vertical profile from satellite data |
| Disciplines: | Matemáticas, Física y astronomía |
| Keyword: | Matemáticas aplicadas, Termodinámica y física estadística, Entropía, Teoría de regularización unificada, Problemas inversos |
| Keyword: | Mathematics, Physics and astronomy, Applied mathematics, Thermodynamics and statistical physics, Entropy, Unified regularization theory, Inverse problems |
| Full text: | Texto completo (Ver HTML) |
