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...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Li, Z, Nakatsukasa, Y, Soma, T, Uschmajew, A
Format: Journal article
Sprache:English
Veröffentlicht: Society for Industrial and Applied Mathematics 2018