Interactions Between the Generalized Hadamard Product and the Eigenvalues of Symmetric Matrices

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dc.creatorSendov, Hristo S.
dc.date2004-04-19
dc.date.accessioned2026-07-07T05:07:34Z
dc.date.available2026-07-07T05:07:34Z
dc.descriptionIn [8] a notion of generalized Hadamard product was introduced. We show that when certain kinds of tensors interact with the eigenvalues of symmetric matrices the resulting formulae can be nicely expressed using the generalized Hadamard product and two simple linear operations on the tensors. The Calculus-type rules developed here will be used in [9] to routinize, to a large extend, the differentiation of spectral functions. We include all the necessary definitions and results from [8] on the generalized Hadamard product to make the reading self-contained.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0404348
dc.identifierhttp://arxiv.org/abs/math/0404348
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70905
dc.subjectOptimization and Control
dc.subjectSpectral Theory
dc.subjectprimary: 49R50; 47A75, secondary: 15A18; 15A69
dc.titleInteractions Between the Generalized Hadamard Product and the Eigenvalues of Symmetric Matrices
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