A SOLVER FOR LARGE-SCALE INDEFINITE QUADRATIC PROGRAMS

  • Oh, Se-Young (Department of Mathematics Chungnam National University)
  • Published : 1999.09.01

Abstract

Based on an active set strategy a method for solving lin-early constrained indefinite quadratic programs to solve the correspond-ing system of equations at each iteration is presented. The algorithm takes two descent directions to strictly decrease the value of objective function and obtains a suitable step to maintain feasibility. Computa-tional results on a range of quadratic test problems are given.

Keywords

References

  1. Linear algebra and its applications v.34 A computational method for the indefinite quadratic programming problem J.R.Bunch;L.Kaufman
  2. Technical report, Department of Electrical Engineering and Computer Science Primal and primal-dual methods for nonlinear programming R.H.Byrd;M.E.Hribar;J.Nocedal
  3. Linear Algebra Appl. v.7 A numerically stable form of the simplex algorithm P.E.Gill;W.Murray
  4. Numerical Methods for Constrained Optimization Newton-type methods for linearly constrained optimization P.E.Gill;W.Murray;P.E.Gill(ed.);W.Murray(ed.)
  5. Reliable Numerical Computation A shur-complement method for sparse quadratic programming P.E.Gill;W.Murray;M.A.Saunders;M.H.Wright;Cox,M.G.(ed.);Hammarling,S.J.(ed.)
  6. SIAM Reivew v.33 Inertia-controlling methods for general quadratic programming P.E.Gill;W.Murrray;M.A.Saunders;M.H.Wright
  7. Reprot CSS 219, AERE Harwell An algorithm for large-scle quadratic programming N.M.Gould
  8. Technical Report RAL-TR-1998-069 On the solution of equality constrained quadratic programming problems arising in optimization N.M.Gould;M.E.Hribar;J.Nocedal
  9. Technical Report SOL 83-20R MINOS 5.1 User's Guide A.B.Murtagh;M.A.Saunders
  10. Math. Prog. v.14 Large-scale linearly constrained optimization A.B.Murtagh;M.A.Saunders
  11. Comm. Korean Math. Soc. v.9 Iterative methods for large-scale convex quadratic and concave programs S.Oh
  12. Technical Report SOL 91-2 Barrier methods for large-scale quadratic programming D.B.Poncele$\'{o}$n
  13. ORSA J. Computing v.6 Interior-point method: algorithms and formulations R.J.Vanderbei