GCMMA和MMA代码。

简介：
The following details the algorithms employed in the implementations of MMA and GCMMA, both within the Matlab environment. Associated files for both MMA and GCMMA are presented below: ============================ subsolv.mkktcheck.m toy1.m toy2.m msubsolv.m ============================ The function subsolv.m undertakes an attempt to resolve either the MMA subproblem generated by mmasub.m, or the GCMMA subproblem produced by gcmmasub.m. A straightforward primal-dual interior-point method is utilized in this process. kktcheck.m ========== The function kktcheck.m computes the left-hand sides of the KKT conditions pertaining to the optimization problem as defined by the user. toy1.m and toy2.m ================== These files collaboratively define, alongside mmatoyinit.m or gctoyinit.m, the user’s specific problem formulation. Files for MMA only: ================== mmasub.mm matoymain.mm matoyinit.mm matoyresultsmmasub.mm ======== The function mmasub.mm generates the MMA subproblem for each iteration of the algorithm and subsequently invokes the function subsolv.mm . Furthermore, matoymain.mm attempts to solve the user’s optimization problem, which is delineated by files matoyinit.mm and toy2.mm . During each MMA iteration, matoymain.mm calls toy2 .mm and mmasub .mm . Files for GCMMA only: ==================== gcmmasub.as symp_gcmma_sub_problem_solver_.m concheck_.m raaupdate_.m gctoymain_.m gctoyinit_.m gctoyresultsgcmma_.m ========== The function gcmmasub_.as generates the GCMMA subproblem for both outer and inner iterations, calling subsolv_.as in this process.. The function asymp_gcmma_sub_problem_solver_.as calculates values associated with parameters raa0, raa, low and upp at the commencement of each outer GCMMA iteration; while concheck_.as verifies whether current GCMMA approximations maintain sufficient conservatism.. Finally raaupdate_.as updates parameters raa0 and raa within each inner iteration.. Within gctoymain_, which aims to solve a user-defined optimization problem based on files gctoyinit_.m, toy1 . m ,and toy2 . m ,the file calls asymp_gcmma_sub_problem_solver_, gcmmasub_, toy1 , concheck_, toy2 ,and kktcheck_. In each inner GCMMA iteration (if applicable), gctoymain_ invokes raaupdate_, gcmmasub_, toy1 ,and concheck_. It’s important to note that gctoymain_s primary role is to execute a significant portion of the overall GCMMA algorithm.