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Approximate Joint Diagonalization with Riemannian Optimization on the General Linear Group
Author(s) -
Florent Bouchard,
Bijan Afsari,
Jérôme Malick,
Marco Congedo
Publication year - 2020
Publication title -
siam journal on matrix analysis and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.268
H-Index - 101
eISSN - 1095-7162
pISSN - 0895-4798
DOI - 10.1137/18m1232838
Subject(s) - mathematics , metric (unit) , context (archaeology) , riemannian geometry , nonholonomic system , mathematical optimization , invariant (physics) , riemannian manifold , manifold (fluid mechanics) , optimization problem , computer science , pure mathematics , artificial intelligence , robot , mechanical engineering , operations management , engineering , economics , mathematical physics , biology , mobile robot , paleontology
We consider the classical problem of approximate joint diagonalization of matrices, which can be cast as an optimization problem on the general linear group. We propose a versatile Riemannian optim...

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