مرکز منطقه ای اطلاع رساني علوم و فناوري

DocumentCode :

145230

Title :

Tackling Markoff-Hurwitz Equations

Author :

Shanzhen Gao ; Keh-Hsun Chen

Author_Institution :

Dept. of Comput. Sci., Univ. of North Carolina at Charlotte, Charlotte, NC, USA

Volume :

fYear :

2014

fDate :

10-13 March 2014

Firstpage :

341

Lastpage :

346

Abstract :

We present algorithms for searching and generating solutions to the equation x₁²+x₂²+ ...+x_n² = kx₁x₂...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.

Keywords :

computational complexity; theorem proving; Markoff-Hurwitz equations; conjectures; solution properties; Educational institutions; Equations; Indexes; Radio access networks; Scientific computing; Systematics; Time complexity; Markoff and Hurwitz equations; search solution space; solution generator; solution trees;

fLanguage :

English

Publisher :

ieee

Conference_Titel :

Computational Science and Computational Intelligence (CSCI), 2014 International Conference on

Conference_Location :

Las Vegas, NV

Type :

conf

DOI :

10.1109/CSCI.2014.65

Filename :

6822132

Link To Document :

https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=145230