Exact Solutions in Structured Low-Rank Approximation

نویسندگان

  • Giorgio Ottaviani
  • Pierre-Jean Spaenlehauer
  • Bernd Sturmfels
چکیده

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 the critical points of this optimization problem using algebraic geometry. A particular focus lies on Hankel matrices, Sylvester matrices and generic linear spaces.

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عنوان ژورنال:
  • SIAM J. Matrix Analysis Applications

دوره 35  شماره 

صفحات  -

تاریخ انتشار 2014