Titlebook: Matrix Information Geometry; Frank Nielsen,Rajendra Bhatia Book 2013 Springer-Verlag Berlin Heidelberg 2013 Audio Signal Processing.Covari

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Rajendra Bhatiaing the algorithmic treatment of partial differential equations. The topics are discretisation methods like the finite element and the boundary element method for various type of applications in structural and fluid mechanics. Particular attention is devoted to the advanced solution methods. The ser

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Silvère Bonnabel,Rodolphe Sepulchresed on both the idea of ”nested iteration” (also called Full Multilevel Method) and parallel domain decomposition (DD) solvers for the linear systems suited for computations on MIMD computers with local memory and message-passing principle. It makes use of the parallel data structure of these solver

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Supremum/Infimum and Nonlinear Averaging of Positive Definite Symmetric Matricesator) in local neighborhoods called structuring elements. This chapter deals with definition of supremum and infimum operators for positive definite symmetric (PDS) matrices, which are the basic ingredients for the extension mathematical morphology to PDS matrices-valued images. The problem is tackl

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The Geometry of Low-Rank Kalman Filtersve definite matrices. The present paper studies the geometry of a low-rank version of the Kalman filter. The underlying Riccati flow evolves on the manifold of fixed rank symmetric positive semidefinite matrices. Contraction properties of the low-rank flow are studied by means of a suitable metric r

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KV Cohomology in Information Geometrycal models are studied. The KV anomaly of an algebra structure as well as the Maurer-Cartan polynomial functions of KV complexes are used to discuss the linear convexity problems for various kind of linear connections. Deformation of statistical structures is discussed as well. Through the paper the

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