Semi-numerical iterative series solution of linear algebraic equations with ‘MATHEMATICA’
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Date
1992-07
Authors
Ioakimidis, Nikolaos
Journal Title
Journal ISSN
Volume Title
Publisher
John Wiley & Sons
Abstract
The computer algebra system MATHEMATICA is applied to the iterative solution of systems of linear algebraic equations where the matrix of the coefficients depends on a parameter. The solution is found in a Taylor series form with respect to this parameter at an appropriate point and, therefore, the system can be solved only once and for all even if the parameter varies. All three popular iterative methods, that is, the Gauss–Jacobi, the Gauss–Seidel and the successive overrelaxation method are used in particular applications. The complete MATHEMATICA package for the first of these methods is also presented. Two elementary applications to structural mechanics are made as well.