Properties of circular cone and spectral factorization associated with circular cone

Jinchuan Zhou, Jein Shan Chen

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

Circular cone includes second-order cone as a special case when the rotation angle is 45 degree. This paper gives an insight on circular cone, in which we describe the tangent cone, normal cone, second order tangent cone, and second order regularity of circular cone. Moreover, we establish the spectral factorization associated with circular cone. These results are crucial to subsequent study regarding various analysis towards optimizations associated with circular cone.

Original languageEnglish
Pages (from-to)807-816
Number of pages10
JournalJournal of Nonlinear and Convex Analysis
Volume14
Issue number4
Publication statusPublished - 2013 Oct 1

Fingerprint

Circular cone
Spectral Factorization
Factorization
Cones
Second-order Cone
Tangent Cone
Normal Cone
Regularity
Angle
Optimization

Keywords

  • Circular cone
  • Second order regular
  • Spectral factorization

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Control and Optimization
  • Applied Mathematics

Cite this

Properties of circular cone and spectral factorization associated with circular cone. / Zhou, Jinchuan; Chen, Jein Shan.

In: Journal of Nonlinear and Convex Analysis, Vol. 14, No. 4, 01.10.2013, p. 807-816.

Research output: Contribution to journalArticle

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