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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