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Circuit models for symmetric systems of linear equations. (English) Zbl 0964.94030

Summary: Electric circuit models are constructed for general symmetric systems of linear algebraic equations. The modelling procedure is based on the node-voltage analysis of linear circuits under steady-state conditions. These electric circuit models can, in principle, be physically realized and used for the solution of the systems of equations by simply measuring the electric voltage at the circuit nodes.

MSC:

94C05 Analytic circuit theory
15A06 Linear equations (linear algebraic aspects)
65F30 Other matrix algorithms (MSC2010)
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References:

[1] Lectü de Bazele Electrotechnicii. Edit. Didactica si Pedagogica: Bucharest, 1970.
[2] The Mathematics of Circuits Analysis. Wiley: New York, 1959.
[3] Field and Wave Electromagnetics. Addison-Wesley: Reading, MA, 1989.
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