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

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

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

Vasilyiev, F.P., Ishmuhametov, A.E., and Potapov, M.M., Generalized Moment Method in Optimal Control Problem, Moscow State University, Moscow, 1989. (in Russian)

Vainikko, G.M., and Veretennikov, A.Yu., Iterative Procedures in Ill-posed Problems, Nauka, Moscow, 1986. (in Russian).

Vasilyev, F.P., The Numerical Solution of Extremal Problems, Nauka, Moscow, 1988. (in Russian)

Jaćimović, M., and Kranić, I., "On some classes of regularization methods for minimization problem of quadratic functional on halfspaces", Hokaido mathematical Journal, 28 (1999) 57-69.

Zolezzi, T., "Wellposed optimal control problems", VINITI, 60 (1998) 89-106. (in Russian)

Zolezzi, T., "Well-posedness and conditioning of optimization problems of optimal", Pliska Stud. Math. Bulgar., 12 (1998) 1001-1018.

Donchev, A., and Zolezzi, T., Well-posed Optimization Problems, Lect. Notes Math., 1993.

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Published

2002-03-01

Issue

Section

Research Articles