1 Correction to: Computational Optimization and Applications https://doi.org/10.1007/s10589-019-00100-1

The original version of this article unfortunately contained an error in two equations on page 25, inside the proof of Proposition 6.1. The sentences containing the corrected equations are presented below:

Equating to zero the derivative of the Lagrangian with respect to \(\mathbf{{X}}_{kj}\), \(1 \le j < N\), yields the relation

$$\begin{aligned} \sum _{i=1}^N {D}_{ij}{{\varvec{\lambda }}}_{ki} = h \left[ \mathbf {{A}}_{kj}^{\textsf {T}}{{\varvec{\lambda }}}_{kj} + \omega _j (\mathbf {{Q}}_{kj}\mathbf {{X}}_{kj} + \mathbf {{S}}_{kj}\mathbf {{U}}_{kj}) \right] + \omega _j \mathbf {{y}}_{3kj}. \end{aligned}$$

Equating to zero the derivative of the Lagrangian with respect to \(\mathbf{{X}}_{kN}\) yields the relation

$$\begin{aligned} \sum _{i=1}^N {D}_{iN}{\varvec{\lambda }}_{ki} = h \left[ \mathbf{{A}}_{kN}^{\textsf {T}}{\varvec{\lambda }}_{kN} + \omega_{N} (\mathbf{{Q}}_{kN}\mathbf{{X}}_{kN} + \mathbf{{S}}_{kN}\mathbf{{U}}_{kN}) \right] + \omega_{N} \mathbf{{y}}_{3kN} + {\varvec{\lambda }}_{k+1,0}, \end{aligned}$$

where \({\varvec{\lambda }}_{K+1, 0} = \mathbf{{TX}}_{KN} + \mathbf{{y}}_{5}\).

The original article has been corrected.