4.6 Article

NP-hardness of deciding convexity of quartic polynomials and related problems

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Computer Science, Software Engineering

A convex polynomial that is not sos-convex

Amir Ali Ahmadi et al.

MATHEMATICAL PROGRAMMING (2012)

Article Mathematics, Applied

Certificates of convexity for basic semi-algebraic sets

J. B. Lasserre

APPLIED MATHEMATICS LETTERS (2010)

Article Computer Science, Software Engineering

Semidefinite representation of convex sets

J. William Helton et al.

MATHEMATICAL PROGRAMMING (2010)

Article Mathematics, Applied

CONVEXITY IN SEMIALGEBRAIC GEOMETRY AND POLYNOMIAL OPTIMIZATION

Jean B. Lasserre

SIAM JOURNAL ON OPTIMIZATION (2009)

Article Mathematics, Applied

BIQUADRATIC OPTIMIZATION OVER UNIT SPHERES AND SEMIDEFINITE PROGRAMMING RELAXATIONS

Chen Ling et al.

SIAM JOURNAL ON OPTIMIZATION (2009)

Proceedings Paper Automation & Control Systems

A Positive Definite Polynomial Hessian that Does not Factor

Amir Ali Ahmadi et al.

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) (2009)

Article Mathematics

Representation of nonnegative convex polynomials

Jean B. Lasserre

ARCHIV DER MATHEMATIK (2008)

Article Automation & Control Systems

Establishing Convexity of Polynomial Lyapunov Functions and Their Sublevel Sets

G. Chesi et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2008)

Article Operations Research & Management Science

The complexity of optimizing over a simplex, hypercube or sphere: a short survey

Etienne de Klerk

CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH (2008)

Article Physics, Multidisciplinary

Distinguishing separable and entangled states

AC Doherty et al.

PHYSICAL REVIEW LETTERS (2002)

Review Automation & Control Systems

A survey of computational complexity results in systems and control

VD Blondel et al.

AUTOMATICA (2000)