On Local Convexity of Quadratic Transformations

Yong Xia

doi:10.1007/s40305-014-0054-y

On Local Convexity of Quadratic Transformations

Yong Xia^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	341-350
Number of pages	10
Journal	Journal of the Operations Research Society of China
Volume	2
Issue number	3
DOIs	https://doi.org/10.1007/s40305-014-0054-y
State	Published - 1 Sep 2014

Keywords

Convexity
Joint numerical range
Quadratic transformation

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10.1007/s40305-014-0054-y

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title = "On Local Convexity of Quadratic Transformations",

abstract = "In this paper, we improve Polyak{\textquoteright}s local convexity result for quadratic transformations. Extension and open problems are also presented.",

keywords = "Convexity, Joint numerical range, Quadratic transformation",

author = "Yong Xia",

note = "Publisher Copyright: {\textcopyright} 2014, Operations Research Society of China, Periodicals Agency of Shanghai University, and Springer-Verlag Berlin Heidelberg.",

year = "2014",

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doi = "10.1007/s40305-014-0054-y",

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

KW - Convexity

KW - Joint numerical range

KW - Quadratic transformation

UR - https://www.scopus.com/pages/publications/84907702365

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DO - 10.1007/s40305-014-0054-y

M3 - 文章

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JO - Journal of the Operations Research Society of China

JF - Journal of the Operations Research Society of China

IS - 3

ER -

On Local Convexity of Quadratic Transformations

Abstract

Keywords

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