Gram spectrahedra

DOI10.1090/conm/697/14047zbMath1390.14176arXiv1608.00234OpenAlexW2798740206MaRDI QIDQ4635359

Cynthia Vinzant, Daniel Plaumann, Rainer Sinn, Lynn Chua

Publication date: 16 April 2018

Published in: Ordered Algebraic Structures and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00234

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10)

Related Items (13)

Sums of squares and quadratic persistence on real projective varieties ⋮ Extreme points of Gram spectrahedra of binary forms ⋮ Solving rank-constrained semidefinite programs in exact arithmetic ⋮ New directions in real algebraic geometry. Abstracts from the workshop held March 19--24, 2023 ⋮ Reflection groups and cones of sums of squares ⋮ Sum of squares decomposition of positive polynomials with rational coefficients ⋮ Maximum likelihood threshold and generic completion rank of graphs ⋮ Polyhedral faces in Gram spectrahedra of binary forms ⋮ On the estimation of unknown distances for a class of Euclidean distance matrix completion problems with interval data ⋮ On the conditions for the finite termination of ADMM and its applications to SOS polynomials feasibility problems ⋮ The Geometry of Ambiguity in One-Dimensional Phase Retrieval ⋮ Symmetry Adapted Gram Spectrahedra ⋮ Gram spectrahedra of ternary quartics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sums of squares of polynomials with rational coefficients
• Products of sums of squares
• Some new results on composition of quadratic forms
• The algebraic degree of semidefinite programming
• Forms derived from the arithmetic-geometric inequality
• Geometry of normed bilinear maps and the 16-square problem
• Projective invariants of quadratic embeddings
• A remark on the rank of positive semidefinite matrices subject to affine constraints
• A new approach to Hilbert's theorem on ternary quartics
• Quartic spectrahedra
• Sum of squares length of real forms
• Quartic curves and their bitangents
• Sums of squares and varieties of minimal degree
• Exact Algorithms for Linear Matrix Inequalities
• Nonnegative polynomials and sums of squares
• Chapter 5: Dualities
• Arithmetic properties of projective varieties of almost minimal degree
• A general formula for the algebraic degree in semidefinite programming
• Clifford matrices and a problem of hurwitz
• Semidefinite Optimization and Convex Algebraic Geometry
• Classification of Gorenstein Toric Del Pezzo Varieties in arbitrary dimension
• Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree
• On the immersion problem for real projective spaces
• Non-commutative circuits and the sum-of-squares problem
• Handbook of semidefinite programming. Theory, algorithms, and applications

This page was built for publication: Gram spectrahedra