
The article considers the use of block LU-factorization for acceleration of multiple solutions for linear system with partially-changing matrix for capacitive matrix calculation for a system of conductors and dielectrics. There are given the dependences of time solution on relative conductor-dielectric subintervals when the number of conductors changes. The acceleration possibilities up to factor 35 are revealed. The structures, for which the acceleration is possible, are described.
Рассматривается использование блочного LU-разложения для ускорения многократного решения системы линейных алгебраических уравнений (СЛАУ) с частично изменяющейся матрицей при вычислении емкостной матрицы системы проводников и диэлектриков. Приведены зависимости времени решения СЛАУ от относительного числа подынтервалов проводник-диэлектрик, при разном числе проводников. Выявлены возможности ускорения до 35 раз. Описаны структуры, для которых возможно ускорение.
СИСТЕМА ЛИНЕЙНЫХ АЛГЕБРАИЧЕСКИХ УРАВНЕНИЙ, БЛОЧНОЕ LU-РАЗЛОЖЕНИЕ, ВЫЧИСЛЕНИЕ ЕМКОСТНОЙ МАТРИЦЫ
СИСТЕМА ЛИНЕЙНЫХ АЛГЕБРАИЧЕСКИХ УРАВНЕНИЙ, БЛОЧНОЕ LU-РАЗЛОЖЕНИЕ, ВЫЧИСЛЕНИЕ ЕМКОСТНОЙ МАТРИЦЫ
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