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- Title
Preconditioned tensor format conjugate gradient squared and biconjugate gradient stabilized methods for solving stein tensor equations.
- Authors
Chen, Yuhan; Li, Chenliang
- Abstract
This article is concerned with solving the high order Stein tensor equation arising in control theory. The conjugate gradient squared (CGS) method and the biconjugate gradient stabilized (BiCGSTAB) method are attractive methods for solving linear systems. Compared with the large‐scale matrix equation, the equivalent tensor equation needs less storage space and computational costs. Therefore, we present the tensor formats of CGS and BiCGSTAB methods for solving high order Stein tensor equations. Moreover, a nearest Kronecker product preconditioner is given and the preconditioned tensor format methods are studied. Finally, the feasibility and effectiveness of the new methods are verified by some numerical examples.
- Subjects
KRONECKER products; EQUATIONS
- Publication
Numerical Linear Algebra with Applications, 2023, Vol 30, Issue 5, p1
- ISSN
1070-5325
- Publication type
Article
- DOI
10.1002/nla.2502