Open AccessExtended Krylov subspace methods for solving Sylvester and Stein tensor equations
Author(s) -
Abdeslem Hafid Bentbib,
Smahane El-Halouy,
El Mostafa Sadek
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2021026
Subject(s) - krylov subspace , sylvester equation , mathematics , tensor (intrinsic definition) , rank (graph theory) , residual , generalized minimal residual method , tensor product , sylvester matrix , algebra over a field , mathematical optimization , mathematical analysis , pure mathematics , iterative method , algorithm , combinatorics , eigenvalues and eigenvectors , physics , quantum mechanics , polynomial matrix , matrix polynomial , polynomial
This paper deals with Sylvester and Stein tensor equations with low rank right hand sides. It proposes extended Krylov-like methods for solving Sylvester and Stein tensor equations. The expressions of residual norms are presented. To show the performance of the proposed approaches, some numerical experiments are given.