Publications

SVD-based algorithms for the best rank-1 approximation of a symmetric tensor

This paper revisits this problem of finding the best rank-1 approximation to a symmetric tensor and makes three contributions. First, …

Solutions of minus partial ordering equations over von Neumann regular rings

In this paper, we mainly derive the general solutions of two systems of minus partial ordering equations over von Neumann regular …

Numerical computation for orthogonal low-rank approximation of tensors

In this paper we study the orthogonal low-rank approximation problem of tensors in the general setting in the sense that more than one …

Convergence analysis of an SVD-based algorithm for the best rank-1 tensor approximation

This paper revisits the classical problem of finding the best rank-1 approximation to a generic tensor. The main focus is on providing …