T-Jordan canonical form and T-Drazin inverse based on the T-product

Y Miao, L Qi, Y Wei - Communications on Applied Mathematics and …, 2021 - Springer
In this paper, we investigate the tensor similarity and propose the T-Jordan canonical form
and its properties. The concepts of the T-minimal polynomial and the T-characteristic …

Characterizations, approximation and perturbations of the core-EP inverse

H Ma, PS Stanimirović - Applied Mathematics and Computation, 2019 - Elsevier
Several characterizations and representations for the core-EP inverse are presented and
investigated. To that goal, several explicit bordering technique for characterizing and …

Core and core-EP inverses of tensors

JK Sahoo, R Behera, PS Stanimirović… - Computational and …, 2020 - Springer
Specific definitions of the core and core-EP inverses of complex tensors are introduced.
Some characterizations, representations and properties of the core and core-EP inverses …

Bio-inspired machine learning for distributed confidential multi-portfolio selection problem

AT Khan, X Cao, B Liao, A Francis - Biomimetics, 2022 - mdpi.com
The recently emerging multi-portfolio selection problem lacks a proper framework to ensure
that client privacy and database secrecy remain intact. Since privacy is of major concern …

Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications

H Ma, X Gao, PS Stanimirović - Applied Mathematics and Computation, 2020 - Elsevier
This paper is a study on main properties and characterizations of the DMP inverse. Also,
corresponding representations and computational procedures are derived. Particularly, an …

Perturbation theory for Moore–Penrose inverse of tensor via Einstein product

H Ma, N Li, PS Stanimirović, VN Katsikis - Computational and Applied …, 2019 - Springer
The spectral norm of an even-order tensor is defined and investigated. An equivalence
between the spectral norm of tensors and matrices is given. Using derived representations …

Computation of Outer Inverse of Tensors Based on t‐Product

R Behera, JK Sahoo, Y Wei - Numerical Linear Algebra with …, 2024 - Wiley Online Library
Tensor computations play an essential role in various fields of science and engineering,
including multiway data analysis. In this study, we established a few basic properties of the …

Perturbation bounds for DMP and CMP inverses of tensors via Einstein product

B Wang, H Du, H Ma - Computational and Applied Mathematics, 2020 - Springer
In this paper, the DMP and CMP inverses of tensors via Einstein product are defined. Some
characterizations, representations, and properties for these generalized inverses are …

Computation of tensors generalized inverses under M-product and applications

JK Sahoo, SK Panda, R Behera… - Journal of Mathematical …, 2025 - Elsevier
This paper introduces notions of the Drazin and core-EP inverses on tensors via M-product.
We propose a few properties of the Drazin and core-EP inverses of tensors, as well as …

Further results on the Drazin inverse of even‐order tensors

R Behera, AK Nandi, JK Sahoo - Numerical Linear Algebra with …, 2020 - Wiley Online Library
The notion of the Drazin inverse of an even‐order tensors with the Einstein product was
introduced, very recently [J. Ji and Y. Wei. Comput. Math. Appl., 75 (9),(2018), pp. 3402 …