On wellposedness quadratic function minimization problem on intersection of two ellipsoids

Authors

  • Milojica Jaćimović Department of Mathematics, University of Montenegro, Podgorica
  • Izedin Krnić Department of Mathematics, University of Montenegro, Podgorica

DOI:

https://doi.org/10.2298/YJOR0201049J

Keywords:

Quadratic functional, minimization, wellposedness.

Abstract

This paper deals with the existence of solutions and the conditions for the strong convergence of minimizing sequences towards the set of solutions of the quadratic function minimization problem on the intersection of two ellipsoids in Hilbert space.

References

Dontchev, A.L., Zolezzi, T. (1993) Well-posed optimization problems. Lecture Notes in Mathematics

Jaćimović, M., Krnić, I. (1999) On some classes of regularization methods for minimization problem of quadratic functional on a half-space. Hokaido mathematical Journal, 28, 1, 57-69

Jaćimović, M., Krnić, I., Potapov, M.M. (1997) On well-posedness of quadratic minimization problem on ellipsoid and polyhedron. Publications de l'Institut mathematique, 62(76), 105-112

Krnić, I., Potapov, M.M. (1995) On conditions of wellposedness of quadratic minimization problem on ellipsoid and halfspace. Mathematica Montisnigri, 4, 27-41

Vainikko, G.M., Veretennikov, A. (1986) Iterative procedures in ill-posed problems. Moskva, itd: Nauka

Vasilyiev, F.P. (1988) The numerical solution of extremal problems. Moskva, itd: Nauka

Vasilyiev, F.P., Ishmuhametov, A.Z., Potapov, M.M. (1989) Generalized moment method in optimal control problems. Moscow: Moscow University Press

Zolezzi, T. (1998) Wellposed optimal control problems. Moskva: VINITI, 60, 89-106

Zolezzi, T. (1998) Well-posedness and conditioning of optimization problems. Pliska Stud. Math. Bulgar., 12, 267-280

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Published

2002-03-01

Issue

Section

Research Articles