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Exact Solutions in Structured Low-Rank Approximation

Identifieur interne : 000D65 ( Main/Exploration ); précédent : 000D64; suivant : 000D66

Exact Solutions in Structured Low-Rank Approximation

Auteurs : Giorgio Ottaviani [Italie] ; Pierre-Jean Spaenlehauer [France] ; Bernd Sturmfels [États-Unis]

Source :

SIAM Journal on Matrix Analysis and Applications [ 0895-4798 ] ; 2014.

RBID : Hal:hal-00953702

Abstract

Structured low-rank approximation is the problem of minimizing a weighted Frobenius distance to a given matrix among all matrices of fixed rank in a linear space of matrices. We study exact solutions to this problem by way of computational algebraic geometry. A particular focus lies on Hankel matrices, Sylvester matrices and generic linear spaces.

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https://hal.archives-ouvertes.fr/hal-00953702

Affiliations:

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Le document en format XML

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Exact Solutions in Structured Low-Rank Approximation

Exact Solutions in Structured Low-Rank Approximation

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Abstract

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