WITHDRAWN: Spectra of symmetric tensors and m-root Finsler models
نویسندگان
چکیده
منابع مشابه
Spectra of Symmetric Tensors and m-Root Finsler Geometry Models
In the framework of supersymmetric tensors and multivariate homogeneous polynomials, the talk discusses the relevance of the spectral properties of the Berwald-Moor, Chernov and Bogoslovski multilinear forms, towards the underlying geometry of the locally-Minkovski Finsler associated structures, which have been intensively investigated as promising candidate models for Special Relativity Theory...
متن کاملSymmetric nonnegative tensors and copositive tensors
Article history: Received 6 December 2012 Accepted 11 March 2013 Available online 8 April 2013 Submitted by R.A. Brualdi AMS classification: 15A18 15A69
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A symmetric tensor is a higher order generalization of a symmetric matrix. In this paper, we study various properties of symmetric tensors in relation to a decomposition into a symmetric sum of outer product of vectors. A rank-1 order-k tensor is the outer product of k non-zero vectors. Any symmetric tensor can be decomposed into a linear combination of rank-1 tensors, each of them being symmet...
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We give a geometric interpretation of the maximal Satake compactification of symmetric spaces X “ G{K of noncompact type, showing that it arises by attaching the horofunction boundary for a suitable G-invariant Finsler metric on X. As an application, we establish the existence of natural bordifications, as orbifolds-with-corners, of locally symmetric spaces X{Γ for arbitrary discrete subgroups ...
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Well known connections exist between the singular value decomposition of a matrix A and the Schur decomposition of its symmetric embedding sym(A) = ([ 0A ; A 0 ]). In particular, if σ is a singular value of A then +σ and −σ are eigenvalues of the symmetric embedding. The top and bottom halves of sym(A)’s eigenvectors are singular vectors for A. Power methods applied to A can be related to power...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2012
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.06.046