[1] F.P. Ali Beik, M. Najafi-Kalyani, Residual norm steepest descent based iterative algorithms for
Sylvester tensor equations, J. Math. Model. 2 (2015) 115–131.
[2] F.P. Ali Beik, M. Najafi-Kalyani, K. Jbilou, Preconditioned iterative methods for multi-linear sys-
tems based on the majorization matrix, Linear Multilinear Algebra 70 (2022) 5827–5846.
[3] B.W. Bader, T.G., Kolda, Efficient MATLAB computations with sparse and factored tensors, SIAM.
J. Sci. Comput. 30 (2007) 205–231.
[4] B.W. Bader, T.G., Kolda, MATLAB tensor toolbox, version 2.6, 2010, Available at https://www.
tensortoolbox.org.
[5] X. Bai, H. He, C. Ling, G. Zhou, A nonnegativity preserving algorithm for multilinear systems with
nonsingular M -tensors, Numer. Algorithms 87 (2021) 1301–1320 .
[6] L.B. Cui, C. Chen, W. Li, M. Ng, An eigenvalue problem for even order tensors with its applica-
tions, Linear Multilinear Algebra 64 (2016) 602–621.
[7] L.B. Cui, M.H. Li, Y. Song, Preconditioned tensor splitting iterations method for solving multi-
linear systems, Appl. Math. Lett. 96 (2019) 89–94.
[8] L. Cui, Y. Song, On the uniqueness of the positive Z-eigenvector for nonnegative tensor, J. Comput.
Appl. Math. 352 (2019) 72–78.
[9] E.K. Dehdezi, Iterative methods for solving Sylvester transpose tensor equation A ?N X ?M B +
C ?M X T ?N D = E , Oper. Res. Forum. 2 (2021) 1–21.
[10] E.K. Dehdezi, S. Karimi, Extended conjugate gradient squared and conjugate residual squared
methods for solving the generalized coupled Sylvester tensor equations, Trans. Inst. Meas. Control.
43 (2021) 519–527.
[11] E.K. Dehdezi, S. Karimi, A gradient based iterative method and associated preconditioning tech-
nique for solving the large multilinear systems, Calcolo 58 (2021) 1–19.
[12] E.K. Dehdezi, S. Karimi, A rapid and powerful iterative method for computing inverses of sparse
tensors with applications, Appl. Math. Comput. 415 (2022) 126720.
[13] E.K. Dehdezi, S. Karimi, GIBS: A general and efficient iterative method for computing the approx-
imate inverse and Moore-Penrose inverse of sparse matrices based on the Shultz iterative method
with applications, Linear Multilinear Algebra 71 (2023) 1905–1921.
[14] E.K. Dehdezi, S. Karimi, On finding strong approximate inverses for tensors, Numer. Linear Alge-
bra Appl. 30 (2023) e2460 .
[15] W. Ding, Y., Wei, Solving multi-linear system with M -tensors, J. Sci. Comput. 68 (2016) 689–715.
[16] L. Han, A homotopy method for solving multilinear systems with M -tensors, Appl. Math. Lett. 69
(2017) 49–54.
[17] H. He, C. Ling, L. Qi, G. Zhou, A globally and quadratically convergent algorithm for solving
multilinear systems with M -tensors, J. Sci. Comput. 76 (2018) 1718–1741
[18] M. Liang, B. Zheng, R. Zhao, Alternating iterative methods for solving tensor equations with ap-
plications, Numer. Algorithms. 80 (2019) 1437–1465.
[19] D. Li, H.B. Guan, X.Z. Wang, Finding a nonnegative solution to an M -tensor equation, Pac. J.
Math. 16 (2020) 419–440.
[20] Z. Li, Y. Dai, H. Gao, Alternating projection method for a class of tensor equations, J. Comput.
Appl. Math. 346 (2019) 490–504.
[21] W. Li, D. Liu, S.W. Vong, Comparison results for splitting iterations for solving multi-linear sys-
tems, Appl. Numer. Math. 134 (2018) 105–121.
[22] D. Li, S. Xie, H.R. Xu, Splitting methods for tensor equations, Numer. Linear Algebra Appl. 24
(2017) e2102.
[23] D. Liu, W. Li, S.W. Vong, The tensor splitting with application to solve multi-linear systems, J.
Comput. Appl. Math. 330 (2018) 75–94.
[24] D. Liu, W. Li, S.W. Vong, A new preconditioned SOR method for solving multilinear systems with
an M -tensors, Calcolo 15 (2020) 57.
[25] C.Q. Lv, C.F. Ma, A LevenbergMarquardt method for solving semi-symmetric tensor equations, J.
Comput. Appl. Math. 332 (2018) 13–25.
[26] M. Neumann, J. Plemmons, Convergence of parallel multisplitting iterative methods for M-
matrices, Linear Algebra Appl. 88 (1987) 559–573.
[27] M. Ng, L., Qi, G. Zhou, Finding the largest eigenvalue of a nonnegative tensor, SIAM J. Matrix
Anal. Appl. 31 (2010) 1090–1099.
[28] K. Pearson, Essentially positive tensors, Int. J. Algebra Comput. 4 (2010) 421–427.
[29] L. Qi, Eigenvalues of a real supersymmetric tensor, J. Symb. Comput. 40 (2005) 1302–1324.
[30] X. Wang, M. Che, Y. Wei, Neural networks based approach solving multi-linear systems with M -
tensors, Neurocomputing 351 (2019) 33–42.
[31] Z. Xie, X.Q. Jin, Y. Wei, Tensor methods for solving symmetric M -tensor systems, J. Sci. Comput.
74 (2018) 412–425.
[32] L. Zhang, L. Qi, G. Zhou, M -tensors and some applications, SIAM J. Matrix Anal. Appl. 35
(2014) 437–452.
[33] Y. Zhang, Q. Liu, Z. Chen, Preconditioned Jacobi-type method for solving multi-linear systems
with M -tensors, Appl. Math. Lett. 104 (2020) 106287.