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Table 3 Deviation and correlation between the upper triangle (excluding diagonal) elements of C(5 × 5) (the correlation matrix) and its unweighted bent matrix

From: mbend: an R package for bending non-positive-definite symmetric matrices to positive-definite

Statistics HJ03–2a HJ03–4b LRS14c DB88–4d
Min (dev.) −0.0826 −0.0797 −0.0788 −0.1095
Max (dev.) 0.0725 0.0702 0.0717 0.0264
Mean (dev.) −0.0200 −0.0194 −0.0204 −0.0448
AAD 0.0490 0.0475 0.0491 0.0554
Correlation 0.9841 0.9853 0.9854 0.9896
RMSD 0.0537 0.0520 0.0530 0.0622
Number of iterations 4 13 39 1
  1. dev. = bend(V) – V; AAD = average absolute deviation; RMSD = root of mean squared deviation; a Method of Jorjani et al. [4] with ϵ = 10−2; b Method of Jorjani et al. [4] with ϵ = 10−4; c Method of Schaeffer [3]; d Method of Bock et al. [7] with ϵ = 10−4