Singular Values and Eigenvalues of Tensors: A Variational Approach

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dc.creatorLim, Lek-Heng
dc.date2006-07-26
dc.date.accessioned2026-07-07T07:20:56Z
dc.date.available2026-07-07T07:20:56Z
dc.descriptionWe propose a theory of eigenvalues, eigenvectors, singular values, and singular vectors for tensors based on a constrained variational approach much like the Rayleigh quotient for symmetric matrix eigenvalues. These notions are particularly useful in generalizing certain areas where the spectral theory of matrices has traditionally played an important role. For illustration, we will discuss a multilinear generalization of the Perron-Frobenius theorem.
dc.identifierhttps://arxiv.org/abs/math/0607648
dc.identifierhttp://arxiv.org/abs/math/0607648
dc.identifierProceedings of the IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP '05), Vol. 1 (2005), pp. 129--132
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115127
dc.subjectSpectral Theory
dc.subjectInformation Retrieval
dc.subjectNumerical Analysis
dc.subjectOptimization and Control
dc.subject15A18, 15A48, 15A69, 15A72, 65F15, 65K10
dc.titleSingular Values and Eigenvalues of Tensors: A Variational Approach
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