The condition number for a method-of-moments’ impedance matrix resulting from a junction of several wires is frequency dependant and can be minimized at a given frequency using several approaches. An empirical formula for an optimum, condition-number minimizing selection of the dependent variable for a multiplet on the junction is presented. The results indicate possibility to lower the condition number by an order of magnitude with virtually no computational overhead. The results may also be used to mesh the structure so as to minimize the condition number.
Reference:
Lysko, A.A. 2011. Simple preconditioning technique: empirical formula for condition number reduction at a junction of several wires. 30th General Assembly and Scientific Symposium of the International Union of Radio Science (URSIGASS 2011), Istanbul, Turkey, 13-20 August 2011
Lysko, A. A. (2011). Simple preconditioning technique: empirical formula for condition number reduction at a junction of several wires. http://hdl.handle.net/10204/5215
Lysko, Albert A. "Simple preconditioning technique: empirical formula for condition number reduction at a junction of several wires." (2011): http://hdl.handle.net/10204/5215
Lysko AA, Simple preconditioning technique: empirical formula for condition number reduction at a junction of several wires; 2011. http://hdl.handle.net/10204/5215 .
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