A note on Solving the general Sylvester discrete-time periodic matrix equations via the gradient based iterative method

In this note, we point out that the value range of iterative factor delta in Hajarian (2016) is not enough to guarantee the convergence result. We have rederived the proof process and got the correct value range of iterative factor delta. A new scaling is given and then the value range of delta is greatly increased. (C) 2021 Elsevier Ltd All rights reserved.

Automated summary

In this note, the authors point out the insufficient value range of the iterative factor delta in a previous study and rederive the proof process to obtain the correct range. By introducing a new scaling method, the value range of delta is significantly increased.