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Integral Operators in Relation to the HOSVD‐Based Canonical Form
Author(s) -
Rövid András,
Szeidl László,
Várlaki Péter
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1017
Subject(s) - mathematics , eigenfunction , relation (database) , operator theory , fourier integral operator , canonical correlation , connection (principal bundle) , pure mathematics , microlocal analysis , type (biology) , canonical form , function (biology) , mathematical analysis , algebra over a field , computer science , eigenvalues and eigenvectors , physics , geometry , ecology , statistics , quantum mechanics , database , biology , evolutionary biology
This paper describes the relation of the higher order singular value decomposition (HOSVD) based canonical form to the Hilbert‐Schmidt type integral operators. This connection between the canonical form of f ( x ) and the integral operators determined by function f ( x ) is important; on the one hand it gives a new aspect for the consideration of LPV models, and on the other hand it allows for the approximation of eigenfunctions and integral operators based on a numerical reconstruction of the canonical form.