Extreme Points of Spectrahedra
We consider the problem of characterizing extreme points of the convex set of positive linear operators on a possibly infinite-dimensional Hilbert space under linear constraints. We show that even perturbations of points in such sets admit what resembles a Douglas factorization.
Waghmare, Kartik G. +1 more
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The existence and extremal characterization of eigenvalues for ann-th order multiple point boundary value problem [PDF]
, 1980 Rodney D. Gentry, Curtis C. Travis
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Extreme contractions on finite-dimensional polygonal Banach spaces [PDF]
J. Convex Anal.26 (2019) no.3, 877-885, 2018 We explore extreme contractions between finite-dimensional polygonal Banach spaces, from the point of view of attainment of norm of a linear operator. We prove that if $ X $ is an $ n- $dimensional polygonal Banach space and $ Y $ is any Banach space and $ T \in L(X,Y) $ is an extreme contraction, then $ T $ attains norm at $ n $ linearly independent ...
arxiv
Every needle point space contains a compact convex AR-set with no extreme points [PDF]
, 1994 Nguyen To Nhu, Le Hoang Tri
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Extremal metrics on blowups along submanifolds [PDF]
arXiv, 2016 We give conditions under which the blowup of an extremal K\"ahler manifold along a submanifold of codimension greater than two admits an extremal metric. This generalizes work of Arezzo-Pacard-Singer, who considered blowups in points.
arxiv
Extremal point processes and intermediate quantile functions [PDF]
, 1990 André Dabrowski
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A Fitness Landscape-Based Method for Extreme Point Analysis of Part Surface Morphology
MachinesAdvancements in Industry 4.0 and smart manufacturing have increased the demand for precise and intricate part surface geometries, making the analysis of surface morphology essential for ensuring assembly precision and product quality. This study presents
Jinshan Sun, Wenbin Tang
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Reobserving the Extreme-Ultraviolet Emission from Abell 2199: In Situ Measurement of Background Distribution by Offset Pointing [PDF]
, 1999 Richard Lieu +5 more
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On extreme points of convex sets
Journal of Mathematical Analysis and Applications, 1962 SummaryA convex subset K of a vector space E over the field of real numbers is linearly bounded (linearly closed) if every line intersects K in a bounded (closed) subset of the line. A hyperplane is the set of x ε E that satisfy a linear equation f(x) = c, where f is a linear functional and c is a real number.A main, but not the only, purpose of this ...
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A first efficient algorithm for enumerating all the extreme points of a bisubmodular polyhedron [PDF]
arXivEfficiently enumerating all the extreme points of a polytope identified by a system of linear inequalities is a well-known challenge issue.We consider a special case and present an algorithm that enumerates all the extreme points of a bisubmodular polyhedron in $\mathcal{O}(n^4|V|)$ time and $\mathcal{O}(n^2)$ space complexity, where $ n$ is the ...
arxiv