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Título

Compact form of the pseudo-inverse matrix in the approximation of a star graph using the conductance electrical model (CEM)

Autor Igelmo, Manuel; Sanfeliu, Alberto
Fecha de publicación 2012
EditorSpringer
Citación Structural, Syntactic, and Statistical Pattern Recognition: 539-547 (2012)
Serie Lecture Notes in Computer Science 7626
ResumenThe Conductance Electrical Model (CEM) translate a graph into a circuit. After applying the model, in many cases, it is necessary to approximate the circuit obtained by a star circuit and this requires the calculation of the Moore¿Penrose pseudoinverse of a matrix for which there is a general formula that requires transpose, multiply and invert matrices. But in this particular case, the matrix has a peculiar structure, exploited this peculiar structure in this paper show that the pseudoinverse can be obtained without recourse to the general formula. We demonstrate a closed formula that gives the values of the elements of the pseudoinverse directly without iteration, no longer necessary to multiply or inverter matrices. This improved method eliminates the problems due to computer rounding and due to bad-conditioned problems in mathematical terms.
Versión del editorhttp://dx.doi.org/10.1007/978-3-642-34166-3_59
URI http://hdl.handle.net/10261/96322
DOI10.1007/978-3-642-34166-3_59
Identificadoresdoi: 10.1007/978-3-642-34166-3_59
isbn: 978-3-642-34165-6
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