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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 22, 1991 - Issue 4
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Original Articles

A differentiable exact penalty function for bound constrained quadratic programming problems

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Pages 557-578 | Received 01 Feb 1990, Published online: 27 Jun 2007

References

  • Bertsekas , D.P. 1982 . Projected Newton methods for optimization methods for optimization problems with simple bounds . SIAM J. on Control and Optimization , 20 : 221 – 246 .
  • Cottle , R.W. and Goheen , M.S. 1978 . “ A Special Class of Large Quadratic Programme ” . In Nonlinear Programming , Edited by: Mangasarian , O.L. , Meyer , R. and Robinson , S.M. Vol. 3 , 361 – 390 . New York : Academic Press .
  • Dembo , R.S. and Tulowitzki , U. 1983 . “ On the minimization of quadratic functions subject to box constraints ” . In School of Organization and Management , Vol. 71 , New Haven : Yale University . Working Paper, Series B no
  • O’Leary , D.P. 1980 . A generalized conjugate gradient algorithm for solving a class of quadratic programming problems . Linear Algebra Appl , 34 : 371 – 399 .
  • Lin , Y.Y. and Pang , J.S. 1987 . Iterative methods for large convex quadratic programs: A survey . SIAM J. on Control and Optimization , 25 : 383 – 411 .
  • Yang , E.K. and Tolle , J.W. 1988 . A class of methods for solving large convex quadratic programs subject to box constraints , Chapell Hill, North Carolina : University of North Carolina . Department of Operations Research preprint
  • Moré , J.J. and Toraldo , G. 1988 . Algorithms for bound constrained quadratic programming problems , Argonne, Illinois : Argonne National Laboratory . Mathematics and Computer Science Division Report ANL/MCS-TM-117
  • Conn , A.R. , Gould , N.I.M. and Toint , Ph.L . 1988 . Global convergence of a class of trust region algorithms for optimization with simple bounds . SIAM J. on Numerical Analysis , 25 : 433 – 460 .
  • Conn , A. , Gould , N.I.M. and Toint , Ph.L . 1988 . Testing a class of methods for solving minimization problems with simple bounds on the variables . Mathematics of Computation , 50 : 399 – 430 .
  • Lötsted , P. 1984 . Solving the minimal least square problems subject to bounds on the constraints . BIT , 24 : 206 – 224 .
  • Pshenichny , B.N. and Danilin , Y.M. 1978 . Numerical methods in extrema problems , Moscow : Mir Publishers .
  • Di Pillo , G. and Grippo , L. 1986 . An exact penalty method with global convergence properties for nonlinear programming problems . Math. Programming , 36 : 1 – 18 .
  • Facchinei F. Grippo L. Lucidi S. A class of methods for bound constrained quadratic prouiems: aigonturns and computational experience io appear as IASI-CNR tecun. rep
  • Hestenes , M.R. 1975 . Optimization Theory , New York : John Wiley and Sons .
  • More , J.J. and Sorensen , D.C. 1984 . Newton’S Method , Edited by: Golup , G.H. 29 – 82 . Washington, DC : The Math Association of America .
  • Dennis , J.E. and Schnabel , R.B. 1983 . Numerical Methods for Unconstrained Optimization and Nonlinear Equations , Englewood Cliffs, NJ : Prentice-Hall .

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