TY - GEN
T1 - A mixed approach for nonlinear equations based on simple smooth penalty function and filled function
AU - Wang, Weixiang
AU - Shang, Youlin
AU - Zhang, Liansheng
PY - 2009
Y1 - 2009
N2 - In the paper, we proposed a novel mixed approach for system of nonlinear equations based on simple smooth penalty function method and filled function method. First, we transform the problem of nonlinear equations into a global optimization problem. Then, we use the filled function method to minimize the constructed simple smooth penalty function. Under some mild assumptions, we can get a global optimizer of the penalty problem if the penalty parameter is sufficiently large. By this way, a root of the system of nonlinear equations can be obtained.
AB - In the paper, we proposed a novel mixed approach for system of nonlinear equations based on simple smooth penalty function method and filled function method. First, we transform the problem of nonlinear equations into a global optimization problem. Then, we use the filled function method to minimize the constructed simple smooth penalty function. Under some mild assumptions, we can get a global optimizer of the penalty problem if the penalty parameter is sufficiently large. By this way, a root of the system of nonlinear equations can be obtained.
KW - Filled function method
KW - Global optimization
KW - Simple smooth exact penalty function method
KW - System of nonlinear equation
UR - http://www.scopus.com/inward/record.url?scp=70349993422&partnerID=8YFLogxK
U2 - 10.1117/12.836876
DO - 10.1117/12.836876
M3 - Conference contribution
AN - SCOPUS:70349993422
SN - 9780819478016
T3 - Proceedings of SPIE - The International Society for Optical Engineering
BT - PIAGENG 2009 - Intelligent Information, Control, and Communication Technology for Agricultural Engineering
T2 - PIAGENG 2009: Intelligent Information, Control, and Communication Technology for Agricultural Engineering
Y2 - 11 July 2009 through 12 July 2009
ER -