Exact Solutions in Structured Low-Rank Approximation

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.
Type de document :
Article dans une revue
SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics, 2014, 35, 4, pp.1521-1542
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https://hal.archives-ouvertes.fr/hal-00953702
Contributeur : Pierre-Jean Spaenlehauer <>
Soumis le : vendredi 28 février 2014 - 14:54:44
Dernière modification le : jeudi 22 septembre 2016 - 14:31:13

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  • HAL Id : hal-00953702, version 1
  • ARXIV : 1311.2376

Citation

Giorgio Ottaviani, Pierre-Jean Spaenlehauer, Bernd Sturmfels. Exact Solutions in Structured Low-Rank Approximation. SIAM Journal on Matrix Analysis and Applications, Society for Industrial and Applied Mathematics, 2014, 35, 4, pp.1521-1542. <hal-00953702>

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