Communications - Scientific Letters of the University of Zilina 2013, 15(11):118-123 | DOI: 10.26552/com.C.2013.2A.118-123

Inversed Matrixes in Electric Circuits Parameters Estimation by Oriented Graphs

Sona Pavlikova1, Dusan Maga2, Boris Simak2
1 Slovak University of Technology, Bratislava, Slovakia
2 Czech Technical University in Prague, Prague, Czech Republic

The base of electric circuit analysis is often set up on numerical methods. When taking a look into the principle of any numerical method, a matrix calculus always rises out. The larger the problem is, the larger is the size of the matrix, representing the logical structure of the solved problem [1]. The problem (especially from the mathematical point of view) is in acquiring the inverse matrix, which can be solved with some of a large scale of available numerical (or analytical; based on the size of matrixes) methods. This paper shows another possible approach to obtaining the inverse matrix. The graph theory has already been successfully used to invert the matrixes; although, the idea of evaluating the alternating paths, presented by authors, is completely new and had not been used before. The utilization of the designed procedure is demonstrated on a part of an analogue signal processing filter. This technology gives a new tool to software designers and could speed up the numerical solutions; or, in case of impossible analytical and/or diverge numerical technique can lead to a successful and reasonable solution.

Keywords: invert of matrixes, mathematical representation of electric circuits, graph theory

Published: July 31, 2013  Show citation

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Pavlikova, S., Maga, D., & Simak, B. (2013). Inversed Matrixes in Electric Circuits Parameters Estimation by Oriented Graphs. Communications - Scientific Letters of the University of Zilina, 15(2A), 118-123. doi: 10.26552/com.C.2013.2A.118-123
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