Abstract: A new algorithm called homotopy iteration method based on the
homotopy function is studied and improved. By the improved
homotopy iteration method, polynomial systems with high order and
deficient can be solved fast and efficiently comparing to the
original homotopy iteration method. Numerical examples for the
ninepoint path synthesis of four-bar linkages show the
advantages and efficiency of the improved homotopy iteration
method.
Key words: Homotopy
function Homotopy iteration method Nine-point synthesis Four-bar
linkage
*
This project
is supported by National Natural Science Foundation of China. Manuscript received on
August 19, 1998; revised manuscript January 16, 1999
|