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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

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.

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