J. Albuquerque et al., Interior point SQP strategies for large-scale, structured process optimization problems, COMPUT CH E, 23(4-5), 1999, pp. 543-554
Successive quadratic programming (SQP) has been the method of choice for th
e solution of many nonlinear programming problems in process engineering. H
owever, for the solution of large problems with SQP based codes, the combin
atorial complexity associated with active set quadratic programming (QP) me
thods can be a bottleneck in exploiting the problem structure. In this pape
r, we examine the merits of incorporating an interior point QP method withi
n an SQP framework. This provides a novel interpretation of popularly used
predictor-corrector interior point (IP) methods. The resulting large-scale
SQP algorithm, with an interior point QP, also allows us to demonstrate sig
nificant computational savings on problems drawn from optimal control and n
onlinear model predictive control. (C) 1999 Elsevier Science Ltd. All right
s reserved.