An exact penalty-lagrangian approach for a class of constrained optimization problems with bounded variables

References

• Lucidi , S. 1988 . New Results on a Class of Exact Augmented Lagrangians . Journal of Optimization Theory and Applications , 58 : 259 – 282 .
   Web of Science ®Google Scholar
• Di Pillo , G. and Grippo , L. 1979 . A New Class of Augmented Lagrangians in Nonlinear Programming . SIAM Journal on Control and Optimization , 17 : 618 – 628 .
   Web of Science ®Google Scholar
• Di Pillo , G. and Grippo , L. 1982 . A New Augmented Lagrangian Function in Nonlinear Programming Problems . Journal of Optimization Theory and Applications , 36 : 495 – 519 .
   Web of Science ®Google Scholar
• Dixon , L.C.W. 1980 . On the convergence properties of variable metric recursive quadratic programming methods , The Hatfield Polytechnic . Report No. NOC 110
   Google Scholar
• Facchinei , F. and Lucidi , S. 1992 . A class of penalty functions problems with bound constraints , 26 : 239 – 259 .
   Google Scholar
• Fiacco , A.V. and McCormick , G.P. 1968 . Nonlinear programming sequential unconstrained minimization techniques , New York : Wiley . New York
   Google Scholar
• Grippo , L. and Lucidi , S. 1991 . A differentiable exact penalty function for bound constrained quadratic programming problems . Optimization 22 , 4 : 557 – 578 .
   Google Scholar
• Di Pillo , G. and Grippo , L. 1986 . An exact penalty function method with global convergence properties for non-linear programming problems . Mathematical Programming , 36 : 1 – 18 .
   Google Scholar
• Di Pillo , G. and Grippo , L. 1989 . Exact penalty functions in constrained optimization . SIAM Journal on Control and Optimization , 27 : 1333 – 1360 .
   Web of Science ®Google Scholar
• Di Pillo , G. , Facchinei , F. and Grippo , L. 1992 . An RQP algorithm using a differentiable exact penalty function for inequality constrained problems . Mathematical Programming , 55 : 49 – 68 .
   Google Scholar
• Gill , P.E. and Murray , W. 1979 . Conjugate-gradient methods for large-scale nonlinear optimization , Stanford, CA : Stanford University . Report SOL 79-15 Department of Operations Research
   Google Scholar
• Liu , D.C. and Nocedal , J. 1989 . On the limited memory BFGS method for large scale optimization . Mathematical Programming , 45 : 503 – 528 .
   Web of Science ®Google Scholar
• Nash , S.G. 1985 . Preconditioning of truncated-Newton methods . SIAM Journal of Sci. Statist. Comput , 6 : 599 – 616 .
   Web of Science ®Google Scholar
• Nash , S.G. and Sofer , A. 1989 . Block truncated-Newton methods for large scale nonlinear optimization . Mathematical Programming , 45 : 529 – 546 .
   Web of Science ®Google Scholar
• Lucidi , S. 1990 . Recursive quadratic programming algorithm that uses an exact augmented lagrangian function . Journal of Optimization Theory and Applications , 67 ( 2 ) : 227 – 245 .
   Web of Science ®Google Scholar
• Powell , M.J.D. and Yuan , Y. 1986 . A recursive quadratic programming algorithm that uses differentiable exact penalty functions . Mathematical Programming , 3 ( 2 ) : 265 – 278 .
   Google Scholar