On Local Convexity of Quadratic Transformations
Yong Xia
TL;DR
This paper enhances the understanding of local convexity properties of quadratic transformations, providing improved results over previous work, and discusses extensions and open problems in the field.
Contribution
It offers an improved local convexity theorem for quadratic transformations and explores related extensions and open questions.
Findings
Enhanced local convexity conditions for quadratic transformations
Discussion of potential extensions and open problems in the area
Provides a refined theoretical framework for quadratic mappings
Abstract
In this paper, we improve Polyak's local convexity result for quadratic transformations. Extension and open problems are also presented.
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Taxonomy
TopicsFunctional Equations Stability Results · Advanced Optimization Algorithms Research · Mathematics and Applications