1 Correction to: Calcolo (2016) 53:133–145 https://doi.org/10.1007/s10092-015-0140-5
Note that inequality (9) in the Original Article is incorrect. In fact, by Cauchy–Schwarz Inequality, we have
which implies that
By Cauchy–Schwarz Inequality again, we have
which means that
Then we have inequality (9) in the Original Article is incorrect, that is
is incorrect. Then Remark 2.1 in the Original Article should be modified in the following way:
Remark 2.1
(2) and (3) in the Original Article imply that
By Cauchy–Schwarz inequality, we have
which means that terminates condition \(\Vert F(x_k)\Vert =0\) in Algorithm 2.1 in the Original Article can be implied by \(\Vert d_k\Vert =0\). Therefore, the terminates condition \(\Vert F(x_k)\Vert =0\) in Algorithm 2.1 in the Original Article can be replaced by \(\Vert d_k\Vert =0\).
Acknowledgements
The authors thank the anonymous reviews and editors for their valuable comments and suggestions, which help to improve the paper. This project was supported by the National Natural Science Foundation of China (Grant no. 12071249), and Shandong Province Science Foundation of Distinguished Young Scholars (Grant no. ZR2021JQ01)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Liu, J., Wang, X.Y., Li, S.J. et al. Correction to: A self-adaptive three-term conjugate gradient method for monotone nonlinear equations with convex constraints. Calcolo 59, 21 (2022). https://doi.org/10.1007/s10092-022-00467-4
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10092-022-00467-4