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

BMC Genomic Data

Table 2 Deviation and correlation between the upper triangle elements of V_(5 × 5) (the covariance matrix) and its weighted (using W_(5 × 5)) bent matrix

Statistics	HJ03–2^a	HJ03–4^b	LRS14^c
Min (dev.)	−20.0068	−20.0008	−19.9923
Max (dev.)	5.8467	5.8456	5.8638
Mean (dev.)	−1.7167	−1.7161	−1.7158
AAD	3.6262	3.6253	3.6338
Weighted AAD	0.6102	0.6100	0.6122
Correlation	0.9623	0.9623	0.9622
Weighted correlation	0.9955	0.9955	0.9955
RMSD	6.3706	6.3687	6.3748
Weighted RMSD	0.5328	0.5327	0.5347
Number of iterations	248	428	787

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