Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product. (27th July 2022)

• Record Type: Journal Article
• Authors: Cong, Zhanlei; Ma, Haifeng
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 10(2022)
• Page Start: 1150
• Page End: 1200
• Publication Date: 2022-07-27
• Subjects: Core-EP inverse -- perturbation -- T-Schur-decomposition -- tensor; 15A69 -- 15A09; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2087676
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, we investigate the theory of the core-EP inverse of third-order tensors via the T-product (called T-core-EP inverse). A new decomposition called T-core-EP decomposition of tensors is given by the T-Schur decomposition. A canonical form and some characterizations of the T-core-EP inverse are presented. Finally, we establish the perturbation bounds for the T-core-EP inverse.