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Workshop

Maximum distance of a symmetric rank-two tensor to rank-one tensors

  • Henrik Eisenmann (MPI MIS Leipzig, Leipzig, Germany)
E1 05 (Leibniz-Saal)

Abstract

We investigate the maximum distance of a symmetric rank-two tensor to rank-one tensors. An equivalent problem is given by the minimal ratio of spectral and Frobenius norm of a tensor. For matrices the distance of a rank k matrix to a rank r matrices is given by the singular value decomposition, but since there is a lack of a fitting analog of the singular value decomposition for tensors, this question is more difficult in the regime of tensors.

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Paul Breiding

Max Planck Institute for Mathematics in the Sciences

André Uschmajew

Max Planck Institute for Mathematics in the Sciences