Root Approximation in Matlab Computational Environment
Abstract
The task of solving non-linear equation occurs in practically all engineering disciplines. In the case of one equation, it is always possible to approximate the root within the required accuracy and to use some convergent method. The article deals with three basic convergent methods for roots approximation, namely bisection, tangent method and chord method, which are implemented and tested on several tasks in solving non-linear equations in Matlab computational environment as a suitable tool for implementation of various numerical methods.
- Keywords
- root approximation, bisection, Newton's method, false-proposition, Matlab
- Classification
- 49M15, 65H04
References
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Palumbíny D., Palumbíny O. (2002). Algebra 2. Nitra: Constantine The Philosopher University, ISBN: 8080505454.
Fulier J., Ďuriš V., Frantová P. (2007). Systémy počítačovej algebry CAS vo vyučovaní matematiky. Nitra: Constantine The Philosopher University, ISBN 9788080941390.
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Polyak B. T. (2007). Newton’s method and its use in optimization. In: European Journal of Operational Research, Vol. 181, No. 3, p. 1086-1096, DOI: 10.1016/j.ejor.2005.06.076.
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