Nonlinear constrained optimizer and parallel processing for golden block line search
Duc T. Nguyen, Wilson H. Tang, Yeou‐Koung Tung, Hakizumwami Birali Runesha · ODU Digital Commons (Old Dominion University) · 1999
Generalized exponential penalty functions are constructed for the multiplier methods in solving nonlinear programming problems. The non-smooth extreme constraint Gext is replaced by a single smooth constraint Gs by using the generalized exponential function (base a>1). The well-known K.S. function is found to be a special case of our proposed formulation. Parallel processing for Golden block line search algorithm is then summarized, which can also be integrated into our formulation. Both small and large-scale nonlinear programming problems (up to 2000 variables and 2000 nonlinear constraints) have been solved to validate the proposed algorithms.