Upper bounds and lower bounds for the Frobenius norm of the solution to certain structured Sylvester equation
作者：
Highlights：
• The relative errors are considered in numerical tests.
• Numerical tests provided in Sections 5.1 and 5.2 show that for certain random matrices, the newly obtained upper bound (1.9) is much better than upper bound (5.2).
• A comparison between the newly obtained lower bound (3.25) and lower bound (5.3) is added at the end of Example 5.2.
摘要
•The relative errors are considered in numerical tests.•Numerical tests provided in Sections 5.1 and 5.2 show that for certain random matrices, the newly obtained upper bound (1.9) is much better than upper bound (5.2).•A comparison between the newly obtained lower bound (3.25) and lower bound (5.3) is added at the end of Example 5.2.
论文关键词：Sylvester equation,Frobenius norm,Upper bound,Lower bound
论文评审过程：Received 16 February 2020, Revised 18 October 2020, Accepted 14 January 2021, Available online 9 February 2021, Version of Record 9 February 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126007
