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ASME Press Select Proceedings
International Conference on Mechanical Engineering and Technology (ICMET-London 2011)
Editor
Garry Lee
Garry Lee
Information Engineering Research Institute
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ISBN:
9780791859896
No. of Pages:
906
Publisher:
ASME Press
Publication date:
2011
eBook Chapter
159 Application of the Ergodic Algorithm for Solving Nonlinear Equations and Tridiagonal Linear Equations
By
Hongwei Liu
Hongwei Liu
Institute of Aerospace and Material Engineering,
National University of Defense Technology
, 410073, Changsha
, China
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Page Count:
4
-
Published:2011
Citation
Liu, H. "Application of the Ergodic Algorithm for Solving Nonlinear Equations and Tridiagonal Linear Equations." International Conference on Mechanical Engineering and Technology (ICMET-London 2011). Ed. Lee, G. ASME Press, 2011.
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An ergodic algorithm was proposed for solving a class of nonlinear equations and a new algorithm was proposed for solving tridiagonal linear equations. By traversing a single variable, the ergodic algorithm for nonlinear equations can find all real solutions in the specified interval and avoid the iteration divergence. In the algorithm for tridiagonal linear equations, the equations were turned into a linear equation with only one variable. Compared to the computation time by the chasing algorithm for tridiagonal linear equations, the time by this new algorithm is reduced by 40%1¼50% according to simulation results when the tridiagonal matrix dimension is less than 30000.
Abstract
Keywords
Introduction
Solving Nonlinear Equations by the Ergodic Algorithm
Application of the Ergodic Algorithm for Solving Tridiagonal Linear Equations
Conclusions
References
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