A general algorithm to solve linear and nonlinear inverse problems

Journal of the Brazilian Chemical Society

N. H. T. Lemes¹  E. Borges¹  J. P. Braga¹ 

[1],Universidade Federal de Minas Gerais Departamento de Química Belo Horizonte MG ,Brazil

关键词: inverse problems;    neural networks;    positron lifetime spectroscopy;    chemical kinetics;    vibrational spectroscopy;   

DOI  :  10.1590/S0103-50532007000700008

来源: SciELO

【 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.

【 授权许可】

CC BY   
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