The Conductance Electrical Model (CEM) translate a graph\udinto a circuit. After applying the model, in many cases, it is necessary to\udapproximate the circuit obtained by a star circuit and this requires the\udcalculation of the Moore–Penrose pseudoinverse of a matrix for which\udthere is a general formula that requires transpose, multiply and invert\udmatrices. But in this particular case, the matrix has a peculiar struc-\udture, exploited this peculiar structure in this paper show that the pseu-\uddoinverse can be obtained without recourse to the general formula. We\uddemonstrate a closed formula that gives the values of the elements of the\udpseudoinverse directly without iteration, no longer necessary to multiply\udor inverter matrices. This improved method eliminates the problems due\udto computer rounding and due to bad-conditioned problems in mathe-\udmatical terms.
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