Acceleration of Multiple Iterative Solution of Linear Algebraic Systems in Computing the Capacitance of a Microstrip Line in Wide Ranges of its Sizes

Multiple solution of systems of linear algebraic equations by the BiCGStab method is considered. For the problem of computing the capacitance matrix of a microstrip line in some ranges of its sizes, two acceleration methods are suggested. The first one consists in using the solution of the revious s...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 207; no. 5; pp. 686 - 692
Main Authors Akhunov, R. R., Kuksenko, S. P., Gazizov, T. R.
Format Journal Article
LanguageEnglish
Published New York Springer US 04.06.2015
Springer
Subjects
Mathematics
Mathematics and Statistics
Linear Algebraic Equation
Matrix Entry
Multiple Solution
Linear System
Initial Guess
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Summary:Multiple solution of systems of linear algebraic equations by the BiCGStab method is considered. For the problem of computing the capacitance matrix of a microstrip line in some ranges of its sizes, two acceleration methods are suggested. The first one consists in using the solution of the revious system as the initial guess for the current system. The second one consists in applying a preconditioner computed for the first system to all systems. The efficiency of these acceleration methods in solving a large series of linear algebraic systems with small changes in the matrix entries is demonstrated by numerical experiments. Bibliography: 9 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-015-2391-8