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

BMC Genomic Data

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

Statistics	HJ03–2^a	HJ03–4^b	LRS14^c
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

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]

ISSN: 2730-6844