This corrigendum serves to clarify how the Hessian matrix should be correctly implemented. In the original article, equation (12), which contained the error, gives implementation details about the canonical form of the Hessian matrix. Specifically, the error made concerns a missing constant c1 in the formula for computing the Hessian matrix. The correct formula is given by equation (1). ∇ x2 ∫ = c1QTQ+c2wwT (1). (Formula presented).

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Keywords point evaluation gradient and Hessian, full-Newton methods, radiation therapy treatment planning, median scale non-linear optimization
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Journal Physics in Medicine and Biology
Van Haveren, R, & Breedveld, S. (2020). Erratum: Fast and exact Hessian computation for a class of non-linear functions used in radiation therapy treatment planning (Physics in Medicine and Biology (2019) 64 (16NT01) DOI: 10.1088/1361-6560/ab1e17). Physics in Medicine and Biology, 65(7). doi:10.1088/1361-6560/ab7ac0