Solving the system of nonsingular tensor equations via randomized Kaczmarz-like method

X Wang, M Che, C Mo, Y Wei - Journal of Computational and Applied …, 2023 - Elsevier
A great deal of attention has been paid to solve the system of tensor equations in recent
years for its applications in various fields. In this paper, the Kaczmarz-like method, which is …

Randomized Kaczmarz methods for tensor complementarity problems

X Wang, M Che, Y Wei - Computational Optimization and Applications, 2022 - Springer
In this paper, we equivalently reformulate the tensor complementarity problem as a system
of fixed point equations. Based on this system, we propose the (extend) randomized …

Neural network models for time-varying tensor complementarity problems

P Wei, X Wang, Y Wei - Neurocomputing, 2023 - Elsevier
The existence and uniqueness of solutions and fast algorithms for tensor complementarity
problems are hot topics in nowadays. We present a time-varying tensor complementarity …

Regularized Kaczmarz algorithms for tensor recovery

X Chen, J Qin - SIAM Journal on Imaging Sciences, 2021 - SIAM
Tensor recovery has recently arisen in a lot of application fields, such as transportation,
medical imaging, and remote sensing. Under the assumption that signals possess sparse …

A fixed point iterative method for third-order tensor linear complementarity problems

X Wang, P Wei, Y Wei - Journal of Optimization Theory and Applications, 2023 - Springer
Fixed point iterative approach for solving the third-order tensor linear complementarity
problems (TLCP) is presented in this paper. Theoretical analysis shows that the third-order …

The accelerated tensor Kaczmarz algorithm with adaptive parameters for solving tensor systems

Y Liao, W Li, D Yang - Applied Numerical Mathematics, 2024 - Elsevier
Solving tensor systems is a common task in scientific computing and artificial intelligence. In
this paper, we propose a tensor randomized average Kaczmarz method with adaptive …

[HTML][HTML] Randomized average Kaczmarz algorithm for tensor linear systems

W Bao, F Zhang, W Li, Q Wang, Y Gao - Mathematics, 2022 - mdpi.com
For solving tensor linear systems under the tensor–tensor t-product, we propose the
randomized average Kaczmarz (TRAK) algorithm, the randomized average Kaczmarz …

Randomized regularized extended Kaczmarz algorithms for tensor recovery

K Du, XH Sun - arXiv preprint arXiv:2112.08566, 2021 - arxiv.org
Randomized regularized Kaczmarz algorithms have recently been proposed to solve tensor
recovery models with {\it consistent} linear measurements. In this work, we propose a novel …

Tensor randomized extended Kaczmarz methods for large inconsistent tensor linear equations with t-product

GX Huang, SY Zhong - Numerical Algorithms, 2023 - Springer
This paper presents three tensor randomized extended Kaczmarz methods for solving a
tensor inconsistent linear system of equations under the t-product between tensors. The …

Sketch‐and‐project methods for tensor linear systems

L Tang, Y Yu, Y Zhang, H Li - Numerical Linear Algebra with …, 2023 - Wiley Online Library
For tensor linear systems with respect to the popular t‐product, we first present the sketch‐
and‐project method and its adaptive variants. Their Fourier domain versions are also …