Solution of large power-system networks by ordered elimination: a comparison of ordering schemes

Application of combined Newton–Raphson method to large load flow models

“…There are various preconditioning techniques related to matrix reordering aiming to minimize number of fill-ins in lower and upper triangle of Jacobian matrix [21][22][23][24]. Minimization of number of fill-ins reduces both LU decomposition computational time and numerical round-off error.…”