DocumentCode
3365360
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
fYear
1999
fDate
1999
Firstpage
303
Lastpage
308
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/CACSD.1999.808665
Filename
808665
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