Diophantine Quadratic Equation and Smith Normal Form Using Scaled Extended Integer Abaffy–Broyden–Spedicato Algorithms

Author:

Golpar-Raboky E.,Mahdavi-Amiri N.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference28 articles.

1. Smith, H.J.S.: On systems of linear indeterminate equations and congruences. Philos. Trans. R. Soc. Lond. 151, 293–326 (1861)

2. Newman, M.: The Smith normal form. Linear Algebra Appl. 245, 367–381 (1972)

3. Frumkin, M.A.: An application of modular arithmetic to the construction of algorithms for solving systems of linear equations. Sov. Math. Dokl. 17, 1165–1168 (1976)

4. Hu, T.C.: Integer Programming and Network Flows. Addison-Wesley, Reading (1969)

5. Hartley, B., Hawkes, T.O.: Rings, Modules, and Linear Algebra. Chapman and Hall, London/New York (1970)

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