This paper establishes some perturbation analysis for tensor inverse and Moore-Penrose inverse based on the t-product. By the properties of Frobenius norm and spectral norm, perturbation theory of tensor inverse and tensor equations is considered. Classical perturbation results for the Moore-Penrose inverse and least squares are also extended.
翻译:本文根据 T 产品为 ARW 和 Moore- Penrose 建立某种扰动分析。 根据 Frobenius 规范和光谱规范的特性, 将考虑 ARV 和 ARO 方程的扰动理论。 Moore- Penrose 反向和最小方形的经典扰动结果也会扩展 。