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Table 1 Deviation and correlation between the upper triangle elements of V(5 × 5) (the covariance 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.) −5.9320 −5.9296 −5.9370 −10.9546
Max (dev.) 6.5016 6.4973 6.5418 2.6427
Mean (dev.) 0.7241 0.7235 0.7330 −2.9890
AAD 3.3754 3.3727 3.4087 3.6937
Correlation 0.9856 0.9856 0.9855 0.9833
RMSD 3.9300 3.9275 3.9542 5.0784
Number of iterations 1 1 1 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