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dc.contributor.authorArauz Lombardía, Cristina
dc.contributor.authorCarmona Mejías, Ángeles
dc.contributor.authorEncinas Bachiller, Andrés Marcos
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2016-03-17T14:48:02Z
dc.date.available2016-03-17T14:48:02Z
dc.date.issued2015-04-01
dc.identifier.citationArauz, C., Carmona, A., Encinas, A. Dirichlet-to-Robin maps on finite networks. "Applicable analysis and discrete mathematics", 01 Abril 2015, vol. 9, núm. 1, p. 85-102.
dc.identifier.issn1452-8630
dc.identifier.urihttp://hdl.handle.net/2117/84647
dc.description.abstractOur aim is to characterize those matrices that are the response matrix of a semi positive definite Schrodinger operator on a circular planar network. Our findings generalize the known results and allow us to consider both nonsingular and Hon diagonally dominant matrices as response matrices. To this end, we define the Dirichlet-to-Robin map associated with a Schrodinger operator on general networks, and we prove that it satisfies the alternating property which is essential to characterize the response matrices.
dc.format.extent18 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta
dc.subject.lcshComputer science--Mathematics
dc.subject.otherFinite networks
dc.subject.otherSchrodinger operator
dc.subject.otherDirichlet-t-Robin map
dc.subject.otherSchur complement inverse problem
dc.subject.otherBOUNDARY-VALUE-PROBLEMS
dc.subject.otherPOTENTIAL-THEORY
dc.titleDirichlet-to-Robin maps on finite networks
dc.typeArticle
dc.subject.lemacMatemàtica discreta
dc.contributor.groupUniversitat Politècnica de Catalunya. COMPTHE - Combinatòria i Teoria Discreta del Potencial pel control de paràmetres en xarxes
dc.identifier.doi10.2298/AADM150207004A
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::05 Combinatorics::05C Graph theory
dc.subject.amsClassificació AMS::90 Operations research, mathematical programming::90B Operations research and management science
dc.subject.amsClassificació AMS::94 Information And Communication, Circuits::94C Circuits, networks
dc.rights.accessOpen Access
local.identifier.drac15620810
dc.description.versionPostprint (author's final draft)
local.citation.authorArauz, C.; Carmona, A.; Encinas, A.
local.citation.publicationNameApplicable analysis and discrete mathematics
local.citation.volume9
local.citation.number1
local.citation.startingPage85
local.citation.endingPage102


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