TY - JOUR

T1 - Corrigendum to

T2 - “The superiorization method with restarted perturbations for split minimization problems with an application to radiotherapy treatment planning” [Appl. Math. Comput. 440 (2023) 127627] (Applied Mathematics and Computation (2023) 440, (S0096300322007007), (10.1016/j.amc.2022.127627))

AU - Aragón-Artacho, Francisco J.

AU - Censor, Yair

AU - Gibali, Aviv

AU - Torregrosa-Belén, David

N1 - Publisher Copyright:
© 2022 The Author(s)

PY - 2024/9/1

Y1 - 2024/9/1

N2 - We wish to correct a significant typographical error in our paper [1]. The error: On the first line of page 8 of [1] we said: “Note that the projection onto V is given by [Formula presented], with [Formula presented], where I denotes the [Formula presented] identity matrix.” There [Formula presented] is a linear subspace and, therefore, the correct formula for the projection onto it is [Formula presented] where here I stands for the [Formula presented] identity matrix. This can be verified, e.g., in Example 29.17(iii) of the book by Bauschke and Combettes [2]. The significance: The formula is used in the algorithms presented in the paper. We used the correct formula in our code and experimental work that are reported in the paper but made the typo in the text as described above. The wrong formula might mislead readers who will wish to repeat the numerical/experimental work reported in the paper.

AB - We wish to correct a significant typographical error in our paper [1]. The error: On the first line of page 8 of [1] we said: “Note that the projection onto V is given by [Formula presented], with [Formula presented], where I denotes the [Formula presented] identity matrix.” There [Formula presented] is a linear subspace and, therefore, the correct formula for the projection onto it is [Formula presented] where here I stands for the [Formula presented] identity matrix. This can be verified, e.g., in Example 29.17(iii) of the book by Bauschke and Combettes [2]. The significance: The formula is used in the algorithms presented in the paper. We used the correct formula in our code and experimental work that are reported in the paper but made the typo in the text as described above. The wrong formula might mislead readers who will wish to repeat the numerical/experimental work reported in the paper.

UR - http://www.scopus.com/inward/record.url?scp=85192267171&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2024.128788

DO - 10.1016/j.amc.2024.128788

M3 - Comment/Debate

AN - SCOPUS:85192267171

SN - 0096-3003

VL - 476

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

M1 - 128788

ER -