Approximation of Sequences of Symmetric Matrices with the Symmetric Rank-One Algorithm and Applications

DOI10.1137/130926584zbMath1314.90089arXiv1306.6255OpenAlexW2949753171MaRDI QIDQ5251739

Sylvain Arguillère

Publication date: 21 May 2015

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6255

zbMATH Keywords

symmetric matricesquasi-Newton methodrank-one updateshape deformation analysis

Mathematics Subject Classification ID

Methods of quasi-Newton type (90C53) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical linear algebra (65F99)

Related Items (1)

A modified scaled memoryless symmetric rank-one method

Cites Work

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• Convergence of quasi-Newton matrices generated by the symmetric rank one update
• On the order of convergence of certain quasi-Newton methods
• Shape deformation analysis from the optimal control viewpoint
• Computing large deformation metric mappings via geodesic flows of diffeomorphisms
• Quasi-Newton Methods, Motivation and Theory
• Variational problems on flows of diffeomorphisms for image matching
• Iterative Solution of Nonlinear Equations in Several Variables
• Shapes and diffeomorphisms

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