Title :
Solution of unilateral and bilateral Diophantine equations using symbolic computation
Author :
Ogunye, Ayowale B.
Author_Institution :
GEG-PSE Process Controls, Air Products & Chem. Inc., Allentown, PA, USA
Abstract :
The polynomial equation approach of Kucera (1979), for the solution of unilateral and bilateral Diophantine equations, is implemented in a symbolic computing system (MapleV) in this paper. Procedures were developed to solve unilateral and bilateral Diophantine equations. This algebraic implementation would have been extremely difficult to carry out in a strict numeric computing environment. The use of MapleV has provided symbolic results quickly and efficiently, with a tremendous gain in time and with minimal effort
Keywords :
linear quadratic control; polynomials; symbol manipulation; LQ optimal regulation; MapleV; bilateral Diophantine equations; polynomial equation approach; symbolic computation; unilateral Diophantine equations; Filtering; Integral equations; Linear algebra; Nonlinear filters; Optimal control; Packaging; Polynomials; Robustness; Signal processing; Signal processing algorithms;
Conference_Titel :
Computer Aided Control System Design, 1999. Proceedings of the 1999 IEEE International Symposium on
Conference_Location :
Kohala Coast, HI
Print_ISBN :
0-7803-5500-8
DOI :
10.1109/CACSD.1999.808665
