A Lanczos-type procedure for tensors
Numerical Analysis
2022-06-09 v1 Numerical Analysis
Abstract
The solution of linear non-autonomous ordinary differential equation systems (also known as the time-ordered exponential) is a computationally challenging problem arising in a variety of applications. In this work, we present and study a new framework for the computation of bilinear forms involving the time-ordered exponential. Such a framework is based on an extension of the non-Hermitian Lanczos algorithm to 4-mode tensors. Detailed results concerning its theoretical properties are presented. Moreover, computational results performed on real world problems confirm the effectiveness of our approach.
Cite
@article{arxiv.2206.03730,
title = {A Lanczos-type procedure for tensors},
author = {S. Cipolla and S. Pozza and M. Redivo-Zaglia and N. Van Buggenhout},
journal= {arXiv preprint arXiv:2206.03730},
year = {2022}
}