Journal of the Operations Research Society of China ›› 2014, Vol. 2 ›› Issue (3): 341-350.doi: 10.1007/s40305-014-0054-y

• Continuous Optimization • Previous Articles     Next Articles

On Local Convexity of Quadratic Transformations

  

  • Online:2014-09-30 Published:2014-09-30

Abstract:

In this paper, we improve Polyak’s local convexity result for quadratic
transformations. Extension and open problems are also presented.

Key words: Convexity , Quadratic transformation ,  Joint numerical range