论文标题
在某些张量化的管道krylov子空间方法中
On some tensor tubal-Krylov subspace methods via the T-product
论文作者
论文摘要
在本文中，我们引入了新的张量Krylov子空间方法来求解线性张量方程。该提出的方法使用众所周知的T产品来张张子和张量子空间。我们引入了一些新的张量产品和相关的代数性能。这些新产品将使我们能够开发三阶张量管gmres和Tensor Tensor golub Kahan方法。我们提供了一些与这些方法相关的属性，并提出了一些数值实验。
In the present paper, we introduce new tensor Krylov subspace methods for solving linear tensor equations. The proposed methods use the well known T-product for tensors and tensor subspaces related to tube fibers. We introduce some new tensor products and the related algebraic properties. These new products will enable us to develop third-order the tensor tubal GMRES and the tensor tubal Golub Kahan methods. We give some properties related to these methods and proopse some numerical experiments.
