Skip to main content

Table 4 Deviation and correlation between the upper triangle (excluding diagonal) elements of C(5 × 5) (the correlation matrix) and its weighted (using W(5 × 5)) bent matrix

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

Statistics HJ03–2a HJ03–4b LRS14c
Min (dev.) −0.2056 −0.1995 −0.1994
Max (dev.) 0.0644 0.0630 0.0632
Mean (dev.) −0.0293 −0.0284 −0.0284
AAD 0.0569 0.0554 0.0555
Weighted AAD 0.0146 0.0142 0.0142
Correlation 0.9428 0.9463 0.9462
Weighted correlation 0.9939 0.9943 0.9942
RMSD 0.0828 0.0803 0.0804
Weighted RMSD 0.0110 0.0107 0.0108
Number of iterations 88 286 694
  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]