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- Title
Projection schemes based on Hessenberg process for Sylvester tensor equation with low-rank right-hand side.
- Authors
Cheraghzadeh, T.; Ghaziani, R. Khoshsiar; Toutounian, F.
- Abstract
In this paper, we present two new projection methods based on the Hessenberg process to compute the approximate solutions of Sylvester tensor equation with low-rank right-hand side. These methods project the problem into an approximate subspace with small dimension, and then, the reduced problem is solved by applying a recursive blocked algorithm. We use the block Hessenberg and extended block Hessenberg processes to build bases for the Krylov subspaces. We further determine the upper bounds of the residual norm obtained by the use of the block and extended block Hessenberg processes. Finally, some test problems are presented to show the efficiency of the proposed methods.
- Subjects
SYLVESTER matrix equations; PROBLEM solving
- Publication
Computational & Applied Mathematics, 2022, Vol 41, Issue 7, p1
- ISSN
0101-8205
- Publication type
Article
- DOI
10.1007/s40314-022-02013-y