847
Views
31
CrossRef citations to date
0
Altmetric
Original Articles

Tensor inversion and its application to the tensor equations with Einstein product

, &
Pages 843-870 | Received 16 Oct 2017, Accepted 05 Jul 2018, Published online: 03 Aug 2018

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

Nirmal Chandra Rout, Krushnachandra Panigrahy & Debasisha Mishra. (2023) A note on numerical ranges of tensors. Linear and Multilinear Algebra 71:16, pages 2645-2669.
Read now
Yun Miao, Yimin Wei & Zhen Chen. (2022) Fourth-order tensor Riccati equations with the Einstein product. Linear and Multilinear Algebra 70:10, pages 1831-1853.
Read now
Ratikanta Behera & Jajati Keshari Sahoo. (2022) Generalized inverses of Boolean tensors via the Einstein product. Linear and Multilinear Algebra 70:3, pages 531-556.
Read now

Articles from other publishers (28)

Aaisha Be & Debasisha Mishra. (2024) Weighted numerical range and weighted numerical radius for even-order tensor via Einstein product. Rendiconti del Circolo Matematico di Palermo Series 2.
Crossref
Eisa Khosravi Dehdezi. (2023) HOBi-CGSTAB and HOBi-CRSTAB methods for solving some tensor equations. Afrika Matematika 35:1.
Crossref
Divyanshu Pandey, Adithya Venugopal & Harry Leib. (2024) Linear to multi-linear algebra and systems using tensors. Frontiers in Applied Mathematics and Statistics 9.
Crossref
Can ChenCan Chen. 2024. Tensor-Based Dynamical Systems. Tensor-Based Dynamical Systems 1 24 .
Baohua Huang. (2022) A preconditioned tensor splitting iteration method and associated global correction technique for solving multilinear systems. Calcolo 60:1.
Crossref
Zhuo-Heng He, Xiang-Xiang Wang & Yun-Fan Zhao. (2022) Eigenvalues of Quaternion Tensors with Applications to Color Video Processing. Journal of Scientific Computing 94:1.
Crossref
Eisa Khosravi Dehdezi & Saeed Karimi. (2022) On finding strong approximate inverses for tensors. Numerical Linear Algebra with Applications 30:1.
Crossref
Yuchao Wang & Yimin Wei. (2022) Generalized eigenvalue for even order tensors via Einstein product and its applications in multilinear control systems. Computational and Applied Mathematics 41:8.
Crossref
Ratikanta Behera, Jajati Keshari Sahoo, Ram N. Mohapatra & M. Zuhair Nashed. (2021) Computation of generalized inverses of tensors via t ‐product . Numerical Linear Algebra with Applications 29:2.
Crossref
Divyanshu Pandey & Harry Leib. (2022) The Tensor Multi-Linear Channel and Its Shannon Capacity. IEEE Access 10, pages 34907-34944.
Crossref
Divyanshu Pandey & Harry Leib. 2022. 30th Biennial Symposium on Communications 2021. 30th Biennial Symposium on Communications 2021 15 29 .
Eisa Khosravi Dehdezi. (2021) Iterative Methods for Solving Sylvester Transpose Tensor Equation $$~\mathcal A\star _N\mathcal X\star _M\mathcal {B}+\mathcal {C}\star _M\mathcal X^T\star _N\mathcal {D}=\mathcal {E}$$. Operations Research Forum 2:4.
Crossref
Nicholas Bornman, Wagner Tavares Buono, Michael Lovemore & Andrew Forbes. (2021) Optimal Pump Shaping for Entanglement Control in Any Countable Basis. Advanced Quantum Technologies 4:10.
Crossref
Gérard Favier. 2021. Matrix and Tensor Decompositions in Signal Processing. Matrix and Tensor Decompositions in Signal Processing 329 345 .
Divyanshu Pandey, Adithya Venugopal & Harry Leib. (2021) Multi-Domain Communication Systems and Networks: A Tensor-Based Approach. Network 1:2, pages 50-74.
Crossref
Predrag S. Stanimirović, J. Rafael Sendra, Ratikanta Behera, Jajati Keshari Sahoo, Dijana Mosić, Juana Sendra & Alberto Lastra. (2021) Computing tensor generalized inverses via specialization and rationalization. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 115:3.
Crossref
Dijana Mosić, Predrag S. Stanimirović, Jajati Keshari Sahoo, Ratikanta Behera & Vasilios N. Katsikis. (2021) One-sided weighted outer inverses of tensors. Journal of Computational and Applied Mathematics 388, pages 113293.
Crossref
Can Chen, Amit Surana, Anthony M. Bloch & Indika Rajapakse. (2021) Multilinear Control Systems Theory. SIAM Journal on Control and Optimization 59:1, pages 749-776.
Crossref
Divyanshu Pandey & Harry Leib. (2021) A Tensor Framework for Multi-Linear Complex MMSE Estimation. IEEE Open Journal of Signal Processing 2, pages 336-358.
Crossref
Divyanshu Pandey & Harry Leib. 2021. Advances in Information and Communication. Advances in Information and Communication 47 64 .
Mengyan Xie & Qing-Wen Wang. (2020) Reducible solution to a quaternion tensor equation. Frontiers of Mathematics in China 15:5, pages 1047-1070.
Crossref
Ratikanta Behera, Ashish Kumar Nandi & Jajati Keshari Sahoo. (2020) Further results on the Drazin inverse of even‐order tensors. Numerical Linear Algebra with Applications 27:5.
Crossref
Jajati Keshari Sahoo, Ratikanta Behera, Predrag S. Stanimirović & Vasilios N. Katsikis. (2020) Computation of outer inverses of tensors using the QR decomposition. Computational and Applied Mathematics 39:3.
Crossref
Jajati Keshari Sahoo & Ratikanta Behera. (2020) Reverse-order law for core inverse of tensors. Computational and Applied Mathematics 39:2.
Crossref
Bingxue Wang, Hongmei Du & Haifeng Ma. (2019) Perturbation bounds for DMP and CMP inverses of tensors via Einstein product. Computational and Applied Mathematics 39:1.
Crossref
Jajati Keshari Sahoo, Ratikanta Behera, Predrag S. Stanimirović, Vasilios N. Katsikis & Haifeng Ma. (2019) Core and core-EP inverses of tensors. Computational and Applied Mathematics 39:1.
Crossref
Adithya Venugopal & Harry Leib. (2020) A Tensor Based Framework for Multi-Domain Communication Systems. IEEE Open Journal of the Communications Society 1, pages 606-633.
Crossref
Haifeng Ma, Na Li, Predrag S. Stanimirović & Vasilios N. Katsikis. (2019) Perturbation theory for Moore–Penrose inverse of tensor via Einstein product. Computational and Applied Mathematics 38:3.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.