|Solving polynomial systems|
|Time：||Mon/Wed 10:10-12:00, 06-17~08-14|
|Instructor：||Tien Yien Li [Michigan State University]|
|Place：||Conference Room 1, Floor 1, Jin Chun Yuan West Building|
Polynomial systems appear very commonly in many fields of science and engineering. Solving polynomial systems is an area where numerical computations arise almost naturally, given that by Galois theory explicit formulas for the solutions are unlike to exit. During the last few decades, the homotopy continuation method has been developed and proved to be a reliable and efficient numerical algorithm for approximating all isolated zeros of polynomial systems. This course will study this method in details.
Solving polynomial systems by the homotopy continuation method, Handbook of numerical analysis, Vol. XI (2003), pp. 209-304, Edited by P.G. Ciarlet,North-Holland, Amsterdam