Simple preconditioning technique: empirical formula for condition number reduction at a junction of several wires

Lysko, Albert A2011-10-102011-10-102011-08Lysko, 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 20119781424460519http://hdl.handle.net/10204/521530th General Assembly and Scientific Symposium of the International Union of Radio Science (URSIGASS 2011), Istanbul, Turkey, 13-20 August 2011The 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.enMethod of momentsMoment methoCondition numberThin wire modellingRadio scienceSimple preconditioning technique: empirical formula for condition number reduction at a junction of several wiresConference PresentationLysko, A. A. (2011). Simple preconditioning technique: empirical formula for condition number reduction at a junction of several wires. http://hdl.handle.net/10204/5215Lysko, Albert A. "Simple preconditioning technique: empirical formula for condition number reduction at a junction of several wires." (2011): http://hdl.handle.net/10204/5215Lysko AA, Simple preconditioning technique: empirical formula for condition number reduction at a junction of several wires; 2011. http://hdl.handle.net/10204/5215 .TY - Conference Presentation AU - Lysko, Albert A AB - 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. DA - 2011-08 DB - ResearchSpace DP - CSIR KW - Method of moments KW - Moment metho KW - Condition number KW - Thin wire modelling KW - Radio science LK - https://researchspace.csir.co.za PY - 2011 SM - 9781424460519 T1 - Simple preconditioning technique: empirical formula for condition number reduction at a junction of several wires TI - Simple preconditioning technique: empirical formula for condition number reduction at a junction of several wires UR - http://hdl.handle.net/10204/5215 ER -