Research Interests:

Numerical multilinear and linear algebra and everything that comes with it; such as Krylov subspace methods, preconditioning, large-scale computing, mathematical algorithms and computational methods.

Journal articles:

• Accuracy and componentwise accuracy in multilinear PageRank, with F. Poloni, (2025).
  DOI: https://doi.org/10.48550/arXiv.2506.18356
  
• Block iterative methods for solving multi-linear systems, with M. Nobakht Kooshkghazi and L. Reichel, Numer. Algorithms, (2025).
  DOI: https://doi.org/10.1007/s11075-025-02077-x
  
• Accelerating iterative solvers via a two-dimensional minimum residual technique, with FPA. Beik and M. Benzi, Comput. Math. Appl., 166 (2024), 224-236.
  DOI: https://doi.org/10.1016/j.camwa.2024.04.035
  
• Improving the Gauss–Seidel iterative method for solving multi-linear systems with M-tensors, with M. Nobakht-Kooshkghazi, Jpn. J. Ind. Appl. Math., 41 (2024), 1061-1077.
  DOI: https://doi.org/10.1007/s13160-023-00637-z
  
• Preconditioned iterative methods for multilinear systems based on majorization matrix, with FPA. Beik and K. Jbilou, Linear Multilinear Algebra, 70 (2022), 5827-5846.
  DOI: https://doi.org/10.1080/03081087.2021.1931654
  
• On the solvability of tensor absolute value equations, with FPA. Beik and S. Mollahasani,  Bull. Malays. Math. Sci. Soc., 45 (2022), 3157-3176.
  DOI: https://doi.org/10.1007/s40840-022-01370-5
  
• An optimality property of an approximated solution computed by the Hessenberg method, with FPA. Beik, Math. Commun., 27 (2022), 225-239.
  Link: https://hrcak.srce.hr/file/412788
• A preconditioning technique in conjunction with Krylov subspace methods for solving multilinear systems, with FPA. Beik, Appl. Math. Lett., 116 (2021), 107051.
  DOI: https://doi.org/10.1016/j.aml.2021.107051
  
• On global iterative schemes based on Hessenberg process for (ill-posed) Sylvester tensor equations, with FPA. Beik and K. Jbilou, J. Comput. Appl. Math., 373 (2020), 112216.
  DOI: https://doi.org/10.1016/j.cam.2019.03.045
  
• Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations, with FPA. Beik and L. Reichel, Appl. Numer. Math., 151 (2020), 425-447.
  DOI: https://doi.org/10.1016/j.apnum.2020.01.011
  
• On the Golub-Kahan bidiagonalization for ill-posed tensor equations with applications to color image restoration, with FPA. Beik, K. Jbilou and L. Reichel, Numer. Algorithms, 84 (2020), 1535-1563.
  DOI: https://doi.org/10.1007/s11075-020-00911-y