Title :
A novel approach for solving Diophantine equations
Author :
Chun Hsiung Fan ; Chang, Fan Ren
Author_Institution :
Dept. of Electr. Eng., Nat. Kaohsiung Inst. of Technol., Taiwan
fDate :
11/1/1990 12:00:00 AM
Abstract :
A novel approach for solving Diophantine equations is presented. To obtain the solutions, it is necessary to (1) construct a set of matrices, (2) determine a real number, (3) solve a pole-assignment gain, and (4) perform some algebraic manipulations. The results permit use of existing software packages (e.g PC-MATLAB and MATRIXx) to compute the solutions of Diophantine equations
Keywords :
matrix algebra; polynomials; Diophantine equations; MATRIXx; PC-MATLAB; algebraic manipulations; matrices; pole-assignment gain; real number determination; software packages; Artificial intelligence; Circuits and systems; Equations; Erbium; Matrices; Polynomials; Software packages;
Journal_Title :
Circuits and Systems, IEEE Transactions on
