Solidity indices for convex cones
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Publication:1928255
DOI10.1007/s11117-011-0140-xzbMath1276.28011OpenAlexW1995892131MaRDI QIDQ1928255
Alberto Seeger, Daniel Gourion
Publication date: 2 January 2013
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-011-0140-x
Length, area, volume, other geometric measure theory (28A75) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
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Cites Work
- Axiomatization of the index of pointedness for closed convex cones
- Inradius and circumradius of various convex cones arising in applications
- A numerical condition for modularity of a lattice
- Critical angles in polyhedral convex cones: Numerical and statistical considerations
- Antipodality in convex cones and distance to unpointedness
- On properties of different notions of centers for convex cones
- A geometric analysis of Renegar's condition number, and its interplay with conic curvature
- Numerical resolution of cone-constrained eigenvalue problems
- Eigenvalue analysis of equilibrium processes defined by linear complementarity conditions
- On standard quadratic optimization problems
- Cone-constrained eigenvalue problems: Theory and algorithms
- Computing the radius of pointedness of a convex cone
- Normality and modulability indices. II: Convex cones in Hilbert spaces
- Generalized curvatures
- A New Condition Measure, Preconditioners, and Relations Between Different Measures of Conditioning for Conic Linear Systems
- Condition number and eccentricity of a closed convex cone
- On the Primal-Dual Geometry of Level Sets in Linear and Conic Optimization
- Condition-Based Complexity of Convex Optimization in Conic Linear Form via the Ellipsoid Algorithm
- Antipodal pairs, critical pairs, and Nash angular equilibria in convex cones
- Measuring the degree of pointedness of a closed convex cone: a metric approach
- Deterministic and stochastic methods for computing volumetric moduli of convex cones
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