Self-Scaled Barriers for Irreducible Symmetric Cones

DOI10.1137/S1052623400370953zbMath1008.90046arXivmath/0104020MaRDI QIDQ2784432

Raphael Hauser, Yongdo Lim

Publication date: 23 April 2002

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104020

zbMATH Keywords

semidefinite programmingEuclidean Jordan algebrasinterior-point methodssymmetric conesself-scaled barrier functions

Mathematics Subject Classification ID

Convex programming (90C25) Abstract computational complexity for mathematical programming problems (90C60) Quadratic programming (90C20) Linear programming (90C05) Convex functions and convex programs in convex geometry (52A41)

Related Items (6)

Tensors in computations ⋮ Solving symmetric matrix word equations via symmetric space machinery ⋮ Todd's maximum-volume ellipsoid problem on symmetric cones ⋮ Derivatives of eigenvalues and Jordan frames ⋮ A geometric mean of parameterized arithmetic and harmonic means of convex functions ⋮ A Geodesic Interior-Point Method for Linear Optimization over Symmetric Cones

Uses Software

• SeDuMi

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