A Lanczos-type procedure for tensors
| Autor: | Michela REDIVO ZAGLIA, Stefano Pozza, Stefano Cipolla, Niel Van Buggenhout |
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| Rok vydání: | 2022 |
| Předmět: |
Time-ordered exponential
Applied Mathematics FOS: Mathematics Non-Hermitian Lanczos algorithm Numerical Analysis (math.NA) Non-Hermitian Lanczos algorithm *-Lanczos algorithm Lanczos-type procedures for tensors Time-ordered exponential Mathematics - Numerical Analysis Lanczos algorithm Lanczos-type procedures for tensors |
| Zdroj: | Numerical Algorithms. 92:377-406 |
| ISSN: | 1572-9265 1017-1398 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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