<abstract xmlns="http://www.w3.org/1999/xhtml"><p> An explicit formula for the resistance between two nodes in a network described by non-symmetric Laplacian matrix L is obtained. This is of great advantage eg in electronic circuit fault analysis, where non-linear systems have to be solved repeatedly. Analysis time can be greatly reduced by utilization of the obtained formula. The presented approach is based on the “mutual orthogonality” of the full system of left and right-hand eigenvectors of a diagonalizable matrix L. Simple examples are given to demonstrate the accuracy of this approach to circuit networks</p></abstract>

An explicit formula for the resistance between two nodes in a network described by non-symmetric Laplacian matrix L is obtained. This is of great advantage eg in electronic circuit fault analysis, where non-linear systems have to be solved repeatedly. Analysis time can be greatly reduced by utilization of the obtained formula. The presented approach is based on the “mutual orthogonality” of the full system of left and right-hand eigenvectors of a diagonalizable matrix L. Simple examples are given to demonstrate the accuracy of this approach to circuit networks

Non–Symmetric Finite Networks: The Two–Point Resistance

Institute of Computer Science and Mathematics

Institute of Electronics and Photonics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, Bratislava, Slovakia

Journal of Electrical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Non\u2013Symmetric Finite Networks: The Two\u2013Point Resistance"}

An explicit formula for the resistance between two nodes in a network described by non-symmetric Laplacian matrix L is obtained. This is of great advantage eg...

Non–Symmetric Finite Networks: The Two–Point Resistance

Published Online: Nov 05, 2014

Page range: 283 - 288

Received: Dec 12, 2013

DOI: https://doi.org/10.2478/jee-2014-0045

Keywords
electronic circuit, fault analysis, non-symmetric Laplacian matrix, resistance computation

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Non–Symmetric Finite Networks: The Two–Point Resistance

Published Online: Nov 05, 2014

Page range: 283 - 288

Received: Dec 12, 2013

DOI: https://doi.org/10.2478/jee-2014-0045

Keywordselectronic circuit, fault analysis, non-symmetric Laplacian matrix, resistance computation

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
electronic circuit, fault analysis, non-symmetric Laplacian matrix, resistance computation