Extremum Problems on a Hilbert Network

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Title
Extremum Problems on a Hilbert Network
Creator
Yamasaki Maretsugu
Source Title
島根大学総合理工学部紀要. シリーズB
Volume 31
Start Page 57
End Page 72
Journal Identifire
ISSN 13427121
Descriptions
As a generalization of a usual infinite network, a Hilbert network is defined as a pair of a graph and a resistance taking values in a Hilbert space. With the sets of nodes and arcs of the graph, we associate variables belonging to a Hilbert space. In this situation, we study several extremum problems related to Hilbert-valued functions on the set of nodes or arcs of the graph and their inverse relations.
Subjects
Hilbert Network
Extremum Problem
Flows
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学総合理工学部
Date of Issued 1998-03
Publish Type Version of Record
Access Rights open access
Relation
[NCID] AA11157123