Y.Y. Li, K.S. Leung, et al.
J Combin Optim
Inequality constrained minimization problems are often solved byconsidering a sequence of parameterized barrier functions. Each barrierfunction is approximately minimized and the relevant parameterssubsequently adjusted.It is common for the estimated solution to one barrier function problemto be used as a starting estimate for the next. However, this hasunfortunate repercussions for the standard Newton-like methods applied tothe barrier subproblem.In this note, we consider a class of alternative Newton methods whichattempt to avoid such difficulties.Such schemes have already proved of use in the Harwell Subroutine Libraryquadratic programming codes {\tt VE14} and {\tt VE19}. © 1994, Springer-Verlag Berlin Heidelberg. All rights reserved.
Y.Y. Li, K.S. Leung, et al.
J Combin Optim
S.F. Fan, W.B. Yun, et al.
Proceedings of SPIE 1989
Robert Manson Sawko, Malgorzata Zimon
SIAM/ASA JUQ
Chai Wah Wu
Linear Algebra and Its Applications