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Proximal point algorithm with Schur decomposition on the cone of symmetric semidefinite positive matrices

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Publication:1022951
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DOI10.1016/j.jmaa.2009.02.006zbMath1169.90024OpenAlexW1989791159MaRDI QIDQ1022951

Ronaldo M. Gregório, Paulo Roberto Oliveira

Publication date: 10 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.02.006


zbMATH Keywords

complete metric spaceHadamard manifoldSchur decompositionproximal point algorithmRiemannian mean


Mathematics Subject Classification ID

Interior-point methods (90C51)


Related Items (2)

\(L^\alpha \) Riemannian weighted centers of mass applied to compose an image filter to diffusion tensor imaging ⋮ A two-phase-like proximal point algorithm in domains of positivity



Cites Work

  • Unnamed Item
  • On the Riemannian geometry defined by self-concordant barriers and interior-point methods.
  • Proximal Point Algorithm On Riemannian Manifolds
  • Full convergence of the steepest descent method with inexact line searches
  • A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
  • Domains of positivity




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