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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDELEDALLE, Charles-Alban
hal.structure.identifierLaboratoire Hubert Curien [LabHC]
dc.contributor.authorDENIS, Loic
hal.structure.identifierDipartimento di Ingegneria Elettrica e delle Tecnologie dell'Informazione [Napoli] [DIETI]
dc.contributor.authorTABTI, Sonia
hal.structure.identifierLaboratoire Traitement et Communication de l'Information [LTCI]
dc.contributor.authorTUPIN, Florence
dc.date.accessioned2024-04-04T03:10:38Z
dc.date.available2024-04-04T03:10:38Z
dc.date.issued2017
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193701
dc.description.abstractEnThe eigen decomposition of covariance matrices is at the core of many data analysis techniques. The study of 2-components or 3-components vector fields typically requires computing numerous eigen decompositions of 2 x 2 or 3 x 3 matrices. This is, for example, the case in the analysis of interferometric or polarimetric SAR images, see MuLoG algorithm (https://hal.archives-ouvertes.fr/hal-01388858). The closed-form expression of eigen-values and eigenvectors then provides a way to derive faster data processing algorithms. This note gives these expressions in the general case (special cases where some coefficients are zero, or the eigenvalues are not separated may not be covered and then require either to introduce a small perturbation of the initial matrix or to derive other expressions).
dc.language.isoen
dc.title.enClosed-form expressions of the eigen decomposition of 2 x 2 and 3 x 3 Hermitian matrices
dc.typeRapport
dc.subject.halSciences de l'ingénieur [physics]/Traitement du signal et de l'image
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionUniversité de Lyon
bordeaux.type.reportrr
hal.identifierhal-01501221
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01501221v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2017&rft.au=DELEDALLE,%20Charles-Alban&DENIS,%20Loic&TABTI,%20Sonia&TUPIN,%20Florence&rft.genre=unknown


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