Title
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.
Year
Venue
Keywords
2014
SIAM J. Matrix Analysis Applications
low rank approximation
Field
DocType
Volume
Discrete mathematics,Matrix analysis,Mathematical optimization,Algebraic geometry,Algebra,Matrix (mathematics),Linear space,Low-rank approximation,Matrix multiplication,Mathematics
Journal
35
Issue
Citations 
PageRank 
4
11
0.88
References 
Authors
4
3
Name
Order
Citations
PageRank
Giorgio Ottaviani113811.93
Pierre-Jean Spaenlehauer212912.08
Bernd Sturmfels3926136.85