论文标题
张量GMRES和Golub-Kahan Bidiagonalization方法通过爱因斯坦产品，以及用于图像和视频处理的应用
Tensor GMRES and Golub-Kahan Bidiagonalization methods via the Einstein product with applications to image and video processing
论文作者
论文摘要
在本文中，我们有兴趣在张量结构中开发迭代的Krylov子空间方法，以通过爱因斯坦产品解决一类多线性系统。特别是，我们开发了GMRES和GLOUB的全球变体 - 张量框架中的Kahan BiDiagonalization过程。我们进一步考虑了上述方程可能对应于离散的错误问题的情况。包括彩色图像和视频修复产生的应用。
In the present paper, we are interested in developing iterative Krylov subspace methods in tensor structure to solve a class of multilinear systems via Einstein product. In particular, we develop global variants of the GMRES and Gloub--Kahan bidiagonalization processes in tensor framework. We further consider the case that mentioned equation may be possibly corresponds to a discrete ill-posed problem. Applications arising from color image and video restoration are included.
