Jul 17, 2018 · In this paper, we examine the convergence rate of HOPM in solving the best rank one approximation problem of real tensors.

Abstract. A popular and classical method for finding the best rank one approximation of a real tensor is the higher order power method (HOPM).

In this paper, we examine the convergence rate of HOPM in solving the best rank one approximation problem of real tensors. We first show that the iterative ...

Missing: best rank tensors.

It is established that the sequence generated by HOPM always converges globally and R-linearly for orthogonally decomposable tensors with order at least 3, ...

INTRODUCTION. Finding the best rank-one approximation to a given high-order tensor is equivalent to finding its largest tensor singular value.

In this paper, we study the polynomial optimization problem of a multiform over the intersection of the multisphere and the nonnegative orthants.

May 29, 2024 · Convergence rate analysis for the higher order power method in best rank one approximations of tensors. Numer. Math. 140, 993–1031 (2018) ...

However, the convergence behavior of this method has not been sufficiently analyzed. A rigorous analysis of the method is given in Section 4. W e also propose a ...

We revisit the higher-order power method of De Lathauwer et al. (1995) for rank-one tensor approximation, and its relation to contrast maximization as used ...