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Y. Ramzane, M. Ait Mansour, J. Lahrache, A refinement of the stability analysis of quadratic minimization problems

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DOI: 10.23952/jano.8.2026.2.04
Volume 8, Issue 2, 1 August 2026, Pages 215-232

 

Abstract. In this paper, we consider a general quadratic minimization problem. We introduce a third approach to the stability of the quadratic problem via fixed-point methods. Bounds are then discussed in terms of their sharpness. Finally, we investigate the stability under small variations in all the data of the problem, where the solution map is proven to be Hölder continuous with respect to the perturbation.

 

How to Cite this Article:
Y. Ramzane, M. Ait Mansour, J. Lahrache, A refinement of the stability analysis of quadratic minimization problems, J. Appl. Numer. Optim. 8 (2026), 215-232.