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dc.contributor.otherProducción Científica UCH 2022-
dc.contributor.otherUCH. Departamento de Matemáticas, Física y Ciencias Tecnológicas-
dc.creatorBillaud Friess, Marie-
dc.creatorFalcó Montesinos, Antonio-
dc.creatorNouy, Anthony-
dc.date2022-
dc.date.accessioned2022-09-30T04:00:35Z-
dc.date.available2022-09-30T04:00:35Z-
dc.date.issued2022-06-30-
dc.identifier.citationBillaud-Friess, M., Falcó, A. & Nouy, A. (2022). A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds. BIT Numerical Mathematics, vol. 62, i. 2 (jun.), pp. 387-408. DOI: https://doi.org/10.1007/s10543-021-00884-x-
dc.identifier.issn0006-3835-
dc.identifier.issn1572-9125 (Electrónico)-
dc.identifier.urihttp://hdl.handle.net/10637/13934-
dc.descriptionEste artículo se encuentra disponible en la siguiente URL: https://link.springer.com/article/10.1007/s10543-021-00884-x-
dc.descriptionEste es el postprint del siguiente artículo: Billaud-Friess, M., Falcó, A. & Nouy, A. (2022). A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds. Bit Numerical Mathematics, vol. 62, i. 2 (jun.), pp. 387?408, que se ha publicado de forma definitiva en https://doi.org/10.1007/s10543-021-00884-x-
dc.descriptionThis is the peer reviewed version of the following article: Billaud-Friess, M., Falcó, A. & Nouy, A. (2022). A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds. Bit Numerical Mathematics, vol. 62, i. 2 (jun.), pp. 387?408, which has been published in final form at https://doi.org/10.1007/s10543-021-00884-x-
dc.description.abstractIn this paper, we propose a new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of the set of fixed rank matrices. We first introduce a geometric description of the set of fixed rank matrices which relies on a natural parametrization of matrices. More precisely, it is endowed with the structure of analytic principal bundle, with an explicit description of local charts. For matrix differential equations, we introduce a first order numerical integrator working in local coordinates. The resulting algorithm can be interpreted as a particular splitting of the projection operator onto the tangent space of the low-rank matrix manifold. It is proven to be exact in some particular case. Numerical experiments confirm this result and illustrate the robustness of the proposed algorithm.-
dc.formatapplication/pdf-
dc.language.isoen-
dc.language.isoes-
dc.publisherSpringer Nature-
dc.relationEste artículo de investigación ha sido financiado por el Ministerio de Ciencia, Innovación y Universidades (MICINN) (RTI2018-093521-B-C32) y por la Universidad CEU Cardenal Herrera (INDI20/13).-
dc.relationUCH. Financiación Universidad-
dc.relationUCH. Financiación Nacional-
dc.relation.ispartofBIT Numerical Mathematics, vol. 62, i. 2 (jun. 2022)-
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es-
dc.subjectGrassmann manifolds.-
dc.subjectGrassmann, Variedades de.-
dc.subjectGeometría diferencial.-
dc.subjectGeometry, Differential.-
dc.subjectManifolds (Mathematics)-
dc.subjectDifferential topology.-
dc.subjectTopología diferencial.-
dc.subjectVariedades (Matemáticas)-
dc.titleA new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds-
dc.typeArtículo-
dc.description.versionPostprint-
dc.identifier.doihttps://doi.org/10.1007/s10543-021-00884-x-
dc.relation.projectIDRTI2018-093521-B-C32-
dc.relation.projectIDINDI20/13-
dc.centroUniversidad Cardenal Herrera-CEU-
Aparece en las colecciones: Dpto. Matemáticas, Física y Ciencias Tecnológicas




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