OPTIMAL TRUSS DESIGN BY INTERIOR-POINT METHODS

This article presents a primal-dual predictor-corrector interior-point method for solving quadratically constrained convex optimization prob lems that arise from truss design problems. We investigate certain spe cial features of the problem, discuss fundamental differences of inter ior-point methods for linearly and nonlinearly constrained problems, e xtend Mehrotra's predictor-corrector strategy to nonlinear programs, a nd establish convergence of a long step method. Numerical experiments on large scale problems illustrate the surprising efficiency of the me thod.