论文标题
lanczos型张量的程序
A Lanczos-type procedure for tensors
论文作者
论文摘要
线性非自主的普通微分方程系统（也称为时指数）的解决方案是在各种应用中引起的计算挑战性问题。在这项工作中，我们介绍并研究了一个新框架，用于计算涉及时间订购的指数的双线性形式。这样的框架是基于非铁兰氏算法到4型张量的扩展。介绍了有关其理论特性的详细结果。此外，对现实世界问题执行的计算结果证实了我们方法的有效性。
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.
