Improvement of Solution Problems of Matrix Equations Calculated by Computers

Year 2015, Volume: 3 Issue: 3, 200 - 203, 29.06.2015

Levent Civcik , Cevdet Çetin Haydar Bulgak

https://doi.org/10.18100/ijamec.87886

Abstract

Solution of linear algebra systems may come out with “ill-condition” or “well-condition” based on input information and solution methods. The aim of this study is to determine and correction of problems that may come out from the solution of matrix equations by computers and to calculate linear algebra.

Keywords

The Linear Algebra System; Condition Number; Epsilon.

Original Research Paper

Abstract

References

• S.K. Godunov, “Solving Linear Algebraic Systems”, Novosibirsk, Nauka, (in Russian), 1980.
• J.H.Wilkinson, “The Algebraic Problem. Clarendom Press”, Oxford, 1965.
• A.M. Turing, “Rounding-off errors in matrix processes”, Quart. J. Mech., 1, 287-308, 1948.
• J. von Neuman and H.H. Goldstine, “Numerical inverting of matrices of high cjjrder”, Bull. Amer. Math. Soc., v.53, no. 11, 1021-1099, 1947.
• L. Civcik, “Matris Problemlerine Bilgisayar Destekli Bazı Çözümler”, Selçuk University, Konya, 1998.
• A. Bulgak, "Cheking of a well-conditioning of the interval matrices”, Sibearian J. of Differential Equations, N.-Y., Nova Science Publ. (to appear).