Department of Computer Science, Faculty of Computer and Industrial Engineering, Birjand University of Technology, Birjand, Iran
10.22060/ajmc.2025.23748.1298
Abstract
This paper deals with a multidimensional variant of the direct incomplete orthogonalization method to solve generalized tensor equations based on the tensor format. With the aid of truncation approach, the incomplete orthogonalization method is a desirable variant of Krylov subspace method for solving tensor equations due to its low computational cost, compared to the other iteration solvers. We investigate also locally orthogonality and some properties of the residual tensors of the proposed method. Finally, we give some numerical experiments to demonstrate the effciency and validity of the presented method.
Izadkhah,M. M. (2026). Constructing of the multidimensional incomplete orthogonalization method for solving the generalized tensor equations. (e6081). AUT Journal of Mathematics and Computing, (), e6081 doi: 10.22060/ajmc.2025.23748.1298
MLA
Izadkhah,M. M. . "Constructing of the multidimensional incomplete orthogonalization method for solving the generalized tensor equations" .e6081 , AUT Journal of Mathematics and Computing, , , 2026, e6081. doi: 10.22060/ajmc.2025.23748.1298
HARVARD
Izadkhah M. M. (2026). 'Constructing of the multidimensional incomplete orthogonalization method for solving the generalized tensor equations', AUT Journal of Mathematics and Computing, (), e6081. doi: 10.22060/ajmc.2025.23748.1298
CHICAGO
M. M. Izadkhah, "Constructing of the multidimensional incomplete orthogonalization method for solving the generalized tensor equations," AUT Journal of Mathematics and Computing, (2026): e6081, doi: 10.22060/ajmc.2025.23748.1298
VANCOUVER
Izadkhah M. M. Constructing of the multidimensional incomplete orthogonalization method for solving the generalized tensor equations. AUT J Math Comput, 2026; (): e6081. doi: 10.22060/ajmc.2025.23748.1298
