Robust solver of a system of nonlinear equations

0333920 - GFÚ 2010 RIV CZ eng C - Conference Paper (international conference)
Růžek, Bohuslav - Kolář, Petr - Kvasnička, M.
Robust solver of a system of nonlinear equations.
Technical computing Prague 2009. 17th annual conference proceedings. Prague: Humusoft, 2009, s. 6-22. ISBN 978-80-7080-733-0.
[Technical computing Prague 2009 /17./. Praha (CZ), 19.11.2009]
R&D Projects: GA AV ČR IAA200120701; GA AV ČR(CZ) IAA300120805
Institutional research plan: CEZ:AV0Z30120515
Keywords : inverse problem * nonlinear equation solver
Subject RIV: DC - Siesmology, Volcanology, Earth Structure

ANNIT (Artificial Neural Network Inversion Tool) is solver of a set of non- linear equations. It is implemented in MATLAB and Scilab. ANNIT is based on numerical approximation of mapping the right hand sides residuals of the original set of equations to searched parameters. A population of individuals is used for building such approximation. The shape, location and size of this population is adaptively changed during the inversion depending on the convergence of the solved problem. ANNIT has been thoroughly tested by using a set of standard problems and also by using selected geophysical problems (localization of the earthquake hypocenter, magnetotelluric inversion, inversion of group velocities of surface waves etc.).
Permanent Link: http://hdl.handle.net/11104/0178786