Multiple solution of linear algebraic systems by means of block LU-decomposition for computation of capacitance matrix of system consisting of conductors and dielectrics, and having its parameters varied

Abstract: Analytical evaluations for speed up of the multiple solution of linear algebraic systems via block LU- decomposition have been obtained. A computational algorithm for some sequence of capacitance matrixes of the system consisting of conductors and dielectrics has been improved. Numerical evaluations of the speed up obtained via the improved algorithm, depending on different parameters, have been carried out. The maximum acceleration equals 15 times.

Keywords: linear algebraic system, block lu-decomposition, capacitance matrix, multiple solution

For citation:
Gazizov T. R. Multiple solution of linear algebraic systems by means of block LU-decomposition for computation of capacitance matrix of system consisting of conductors and dielectrics, and having its parameters varied. Doklady Tomskogo gosudarstvennogo universiteta sistem upravleniya i radioelektroniki, 2015, no. 3(37), pp. 132–138.