A general algorithm to solve linear and nonlinear inverse problems

被引：16
|
作者：
Lemes, N. H. T. [1 ]
Borges, E. [1 ]
Braga, J. P. [1 ]
机构：
[1] Univ Fed Minas Gerais, Dept Quim, BR-31270901 Belo Horizonte, MG, Brazil
来源：
JOURNAL OF THE BRAZILIAN CHEMICAL SOCIETY | 2007年 / 18卷 / 07期
关键词：
inverse problems; neural networks; positron lifetime spectroscopy; chemical kinetics; vibrational spectroscopy;
D O I：
10.1590/S0103-50532007000700008
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
A general algorithm to solve linear and nonlinear inverse problems, based on recursive neural networks, is discussed in this work. The procedure will be applied to physical chemical problems modeled by integral, differential and eigenvalue equations. Representative applications discussed are in positron lifetime spectroscopy, chemical kinetics and Vibrational spectroscopy. The method is robust with respect to errors in the initial condition or in the experimental data. The present approach is simple, numerically stable and has a broad range of applicability.
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页码：1342 / 1347
页数：6
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