Corrigendum to: “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))

Francisco J. Aragón-Artacho, Yair Censor, Aviv Gibali, David Torregrosa-Belén

Research output: Contribution to journalComment/Debate

Abstract

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.

Original languageEnglish
Article number128788
JournalApplied Mathematics and Computation
Volume476
DOIs
StatePublished - 1 Sep 2024

Bibliographical note

Publisher Copyright:
© 2022 The Author(s)

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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