A Lanczos-type procedure for tensors

被引：0
|
作者：
Stefano Cipolla
Stefano Pozza
Michela Redivo-Zaglia
Niel Van Buggenhout
机构：
[1] The University of Edinburgh,School of Mathematics
[2] Charles University,Faculty of Mathematics and Physics
[3] University of Padua,Department of Mathematics “Tullio Levi
来源：
Numerical Algorithms | 2023年 / 92卷
关键词：
Non-Hermitian Lanczos algorithm; ⋆-Lanczos algorithm; Lanczos-type procedures for tensors; Time-ordered exponential;
D O I：
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学科分类号：
摘要：
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.
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页码：377 / 406
页数：29
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