On the convergence of a sequential quadratic programming method with an augmented lagrangian line search function

References

• Biggs , M.C. 1978 . On the convergence of some constrained minimization algorithms based on recursive quadratic programming . J. Inst. Math. Appl , 21 : 67 – 82 .
   Google Scholar
• Chamberlain , R.M. 1979 . Some examples of cycling in variable metric methods for constrained minimization . Math. Programming , 16 : 378 – 384 .
   Web of Science ®Google Scholar
• Gill , P.E. , Murrau , W. and Wright , M.H. 1981 . Practical optimization , London , New York : Academic Press .
   Google Scholar
• Gill , P. , Murray , W. , Saundees , M. and Wright , M. 1982 . “ User's guide for SOL/QPSOL:A Fortran package for quadratic programming ” . In Systems Optimization Laboratory , Stanford : Stanford University . Report SOL 82-7
   Google Scholar
• Han , S.P. 1976 . Superlinearly convergent variable metric algorithms for general nonlinear programming problems . Math. Programming , 11 : 263 – 282 .
   Web of Science ®Google Scholar
• Han , S.P. 1977 . A globally convergent method for nonlinear programming . J. Optimization Theory Appl , 22 : 297 – 309 .
   Web of Science ®Google Scholar
• Hock , W. and Schittkowski , K. 1981 . “ Test examples for nonlinear programming codes ” . In Lecture Notes in Economics and Mathematical systems , Vol. 187 , Berlin , New York : Springer-Verlag . Heidelberg
   Google Scholar
• Lawson , C.L. and Hanson , R.J. 1974 . Solving least squares problems , Englewood Cliffs , New Jersey : Prentice Hall .
   Google Scholar
• Maratos , N. 1978 . “ Exact penalty function algorithms for finite dimensional and control optimization problems ” . In Ph. D. Thesis , London : Imperial College .
   Google Scholar
• Powell, M.J.D.:A fast algorithm for nonlinearly constrained optimization calculations. In:G. A.Wastson (ed).:Numerical analysis. Proceedings of the Biennial Conference Held at Dundee, Jun 1977. Lecture Notes in Mathematics, Vol. 630. Springer Verlag, Berlin, Heidelberg, New York 1978
   Google Scholar
• Powell , M.J.D. 1978 . “ The convergence of variable metric methods for nonlinearly constrained optimization calculations ” . In Nonlinear programming , Edited by: Mangasarian , O.L. , Meyer , R.K. and Robinson , S.M. Vol. 3 , San Francisco , New York : Academic Press . London
   Google Scholar
• Schittkowski , K. 1980 . “ Nonlinear programming codes Information, tests, performance ” . In Lecture Notes in Economics and Mathematical Systems , Vol. 183 , Berlin , New York : Springer Verlag . Heidelberg
   Google Scholar
• Schittkowski , K. 1981 . The nonlinear programming method of Wilson . Han, and Powell with an augmented LAGRANGian type line search function. Part 1:Convergence Analysis. Numer. Math , 38 : 83 – 114 .
   Google Scholar
• Schittkowski , K. 1981 . The nonlinear programming method of Wilson . Han, and Powell with an augmented LAGRANGian type line search function , 38 : 115 – 127 . Part 2; An efficient implementation with linear least squares subproblems. Numer. Math
   Google Scholar
• K. Schittkowski.Design implementation, and test of a nonlinear programming algorithm. (To appear)
   Google Scholar
• Wilson , R.B. 1963 . “ A simplicial algorithm for concave programming ” . In Ph. D. Dissertation, Graduate School of Business Administration , Boston : Harward University .
   Google Scholar