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Simplex analysis of grounded concave piecewise‐linear resistive networks
Author(s) -
Blasi F.,
Martinelli G.
Publication year - 1975
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490030302
Subject(s) - resistive touchscreen , piecewise linear function , simplex , simplex algorithm , nonlinear system , linear programming , piecewise linear manifold , network analysis , revised simplex method , arithmetic function , mathematics , class (philosophy) , piecewise , computer science , mathematical optimization , discrete mathematics , combinatorics , engineering , mathematical analysis , artificial intelligence , physics , quantum mechanics , electrical engineering , computer vision
The physical properties of the networks under consideration may be advantageously used for saving time and storage in analysing nonlinear networks. The algorithm proposed in the present paper represents an attempt in this direction. It concerns a particular class of piecewise linear resistive networks and it is based on a modification of the simplex as originally proposed by Dantzig. The algorithm requires:1 The analysis of the linear network obtained by the given one by replacing the nonlinear resistances by linear ones. 1 The application of the modified simplex.This second step requires a number of arithmetical operations less than that necessary for analysing a linear resistive network having a number of nodes equal to the total number of break‐points of the nonlinear resistances.