Solving the system of nonsingular tensor equations via randomized Kaczmarz-like method
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 …
years for its applications in various fields. In this paper, the Kaczmarz-like method, which is …
Randomized Kaczmarz methods for tensor complementarity problems
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 …
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 …
problems are hot topics in nowadays. We present a time-varying tensor complementarity …
Regularized Kaczmarz algorithms for tensor recovery
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 …
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 …
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 …
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 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 …
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 …
tensor inconsistent linear system of equations under the t-product between tensors. The …
Sketch‐and‐project methods for tensor linear systems
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 …
and‐project method and its adaptive variants. Their Fourier domain versions are also …