Synopses & Reviews
Synopsis
...................................................................... The increasing importance of mathematical programming for the solution of complex nonlinear systems arising in practical situations requires the development of qualified optimization software. In recent years, a lot of effort has been made to implement efficient and reliable optimization programs and we can observe a wide distribution of these programs both for research and industrial applications. In spite of their practical importance only a few attempts have been made in the past to come to comparative conclusions and to give a designer the possibility to decide which optimization program could solve his individual problems in the most desirable way. Box BO 1966J, Huang, Levy HL 1970J, Himmelblau HI 1971J, Dumi- tru DU 1974], and More, Garbow, Hillstrom MG 1978] for example compared algorithms for unres ricied u illii Gtiv y le, B n BD 1970], McKeown MK 1975], and Ramsin, Wedin RW 1977l studied codes for nonlinear least squares problems. Codes for the linear case are compared by Bartels BA 1975.J and Schittkowski, Stoer SS 1979J. Extensive tests for geometric programming algorithms are found in Dembo DE 1976bJ, Rijckaert RI 1977], and Rijckaert, Martens RM 1978J.