Matrix extreme points and free extreme points of free spectrahedra
From MaRDI portal
Publication:6661111
DOI10.1080/10556788.2024.2339221MaRDI QIDQ6661111
Igor Klep, J. W. Helton, Aidan Epperly, Eric Evert
Publication date: 10 January 2025
Published in: Optimization Methods \& Software (Search for Journal in Brave)
Semidefinite programming (90C22) Operator spaces and completely bounded maps (46L07) Convex sets and cones of operators (47L07) Real algebra (13J30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Operator Positivstellensätze for noncommutative polynomials positive on matrix convex sets
- Every convex free basic semi-algebraic set has an LMI representation
- Positivstellensätze for quantum multigraphs
- Free probability and random matrices
- Matrix convexity: Operator analogues of the bipolar and Hahn-Banach theorems
- Pure matrix states on operator systems
- Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
- Bounded real lemma for structured noncommutative multidimensional linear systems and robust control
- The Choquet boundary of an operator system
- Injective envelopes of operator systems
- Geometry of free loci and factorization of noncommutative polynomials
- Extreme points of matrix convex sets, free spectrahedra, and dilation theory
- Some geometric results in semidefinite programming
- The matricial relaxation of a linear matrix inequality
- An introduction to matrix convex sets and free spectrahedra
- Incompatibility in general probabilistic theories, generalized spectrahedra, and tensor norms
- Complex free spectrahedra, absolute extreme points, and dilations
- Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications
- Bisynchronous games and factorizable maps
- Exploiting term sparsity in noncommutative polynomial optimization
- Arveson extreme points span free spectrahedra
- Lower bounds on matrix factorization ranks via noncommutative polynomial optimization
- Subalgebras of \(C^ *\)-algebras
- Optimization of Polynomials in Non-Commuting Variables
- Foundations of Free Noncommutative Function Theory
- The noncommutative Choquet boundary
- Convergent Relaxations of Polynomial Optimization Problems with Noncommuting Variables
- Free analysis questions II: The Grassmannian completion and the series expansions at the origin
- The Krein-Milman theorem in operator convexity
- Extremal Matrix States on Operator Systems
- Joint measurability of quantum effects and the matrix diamond
- Dilations, Inclusions of Matrix Convex Sets, and Completely Positive Maps
- Boundary representations of operator spaces, and compact rectangular matrix convex sets
- Convex Matrix Inequalities Versus Linear Matrix Inequalities
- Global Holomorphic Functions in Several Noncommuting Variables
- Non-commutative rational functions in the full Fock space
- Quantum magic squares: Dilations and their limitations
- Boundary representations and pure completely positive maps
- Spectrahedral Containment and Operator Systems with Finite-Dimensional Realization
- The Arveson boundary of a free quadrilateral is given by a noncommutative variety
- Empirical Properties of Optima in Free Semidefinite Programs
Related Items (1)
This page was built for publication: Matrix extreme points and free extreme points of free spectrahedra