On orthogonal tensors and best rank-one approximation ratio

As is well known, the smallest possible ratio between the spectral norm and the Frobenius norm of an m × n matrix with m ≤ n is 1/%m and is (up to scalar scaling) attained only by matrices having pairwise orthonormal rows. In the present paper, the smallest possible ratio between spectral and Froben...

Full description

Bibliographic Details
Main Authors: Li, Z, Nakatsukasa, Y, Soma, T, Uschmajew, A
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2018