Tackling Markoff-Hurwitz Equations

被引：0
|
作者：
Gao, Shanzhen [1 ]
Chen, Keh-Hsun [1 ]
机构：
[1] Univ N Carolina, Dept Comp Sci, Coll Comp & Informat, Charlotte, NC 28223 USA
来源：
2014 INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE AND COMPUTATIONAL INTELLIGENCE (CSCI), VOL 1 | 2014年
关键词：
Markoff and Hurwitz equations; solution trees; search solution space; solution generator;
D O I：
10.1109/CSCI.2014.65
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We present algorithms for searching and generating solutions to the equation x(1)(2) + x(2)(2) + ... + x(n)(2) = kx(1)x(2) ... x(n). Solutions are reported for n = 2, 3, ... , 9. Properties of solutions are discussed. We can prove that the solutions do not exist when n= 4 and k= 2 or 3; n= 5 and k= 2 or 3. Conjectures based on computational results are discussed.
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页码：341 / 346
页数：6
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