Preconditioned TBiCOR and TCORS algorithms for solving the Sylvester tensor equation
作者：
Highlights：
• In Section 5 Preconditioned BiCOR and TCORS Algorithms are added, i.e., “PBiCOR” and “PTCORS”, which are two main methods obtained by introducing the preconditioner based on the nearest Kronecker product in Loan and Pitsianis [28] to accelerate the proposed TBiCOR and TCORS methods in the previous version.
• In “Numerical Experiments” section, we added “PBiCOR” and “PTCORS” and compared with other methods. Numerical examples show that PTCORS converges fastest among all methods listed, and PBiCOR converges a bit slower than PTCORS does.
• We have added an acknowledgements part. Other sections, such as the title/ introduction/abstract/Numerical experiments/Conclusions section, are all updated.
• We have checked the English usage of the revised paper carefully.
摘要
•In Section 5 Preconditioned BiCOR and TCORS Algorithms are added, i.e., “PBiCOR” and “PTCORS”, which are two main methods obtained by introducing the preconditioner based on the nearest Kronecker product in Loan and Pitsianis [28] to accelerate the proposed TBiCOR and TCORS methods in the previous version.•In “Numerical Experiments” section, we added “PBiCOR” and “PTCORS” and compared with other methods. Numerical examples show that PTCORS converges fastest among all methods listed, and PBiCOR converges a bit slower than PTCORS does.•We have added an acknowledgements part. Other sections, such as the title/ introduction/abstract/Numerical experiments/Conclusions section, are all updated.•We have checked the English usage of the revised paper carefully.
论文关键词：TLB,TBiCOR,TCORS,Sylvester tensor equation,Preconditioner
论文评审过程：Received 11 May 2021, Revised 4 September 2021, Accepted 24 January 2022, Available online 5 February 2022, Version of Record 5 February 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.126984
