The matrix Diophantine equations $AX+BY=C$

Authors

  • N.S. Dzhaliuk Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine https://orcid.org/0000-0001-5114-3296
  • V.M. Petrychkovych Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine

Keywords:

matrix Diophantine equation, general solution of an equation
Published online: 2011-12-29

Abstract

A method of constructing of solutions of matrix Diophantine equations $AX+BY=C$ over commutative domains of finitely generated principal ideals is suggested. The formulas of general solutions of such equations in some cases is proposed. The criterion of uniqueness in the proper sense of their solutions is established.

How to Cite
(1)
Dzhaliuk, N.; Petrychkovych, V. The Matrix Diophantine Equations $AX+BY=C$. Carpathian Math. Publ. 2011, 3, 49–56.