Emine Tuğba AKYÜZ

On Error Analysis of Systems of Linear Equations with Hadamard Coefficients

Yayın Aralığı: 4
Başlangıç: 2012
Yayıncı: Bitlis Eren Üniversitesi Rektörlüğü

In this study, error analysis for linear equation systems whose coefficients matrix is Hadamard matrix is discussed. In the Hx=f problem, the effect of the change in the elements in the f vector at the same rate and the change in the elements in the f vector at different rates were examined, and the relative error and absolute error equations for this system were given.

Keywords:

Hadamard matrices, Error analysis, Relative error Absolute error,

PDF

___

[1] R. K. R. Yarlagadda and J. E. Hershey, Matrix Analysis and Synthesis. USA: Kluwer Academic Publishers, 1997.
[2] K. J. Horadam, Hadamard Matrices and Their Applications. Princeton University Press, 2007.
[3] A. Hedayat and W. D. Wallis, “Hadamard matrices and their applications,” The Annals of Statistics, vol. 6, no. 6, pp. 1184–1238, 1978.
[4] J. Seberry, B. J. Wysocki, and T. A. Wysocki, “On some applications of Hadamard matrices,” Metrika, vol. 62, pp. 221–239, 2005.
[5] G. H. Golub and C. F. Van Loan, Matrix Computations (Third edition). Baltimore, MD: Johns Hopkins University Press, 1996.
[6] L. W. Johnson and R. D. Riess, Numerical Analysis (Second eddition). Addison Wesley Publishing Company, 1982.
[7] E. T. Akyüz, “Hadamard Matrices and the Ax=f Problem,” Selcuk University, Institute of Sciences, Konya, 2010.
[8] D. R. Kincaid and E. W. Cheney, Numerical Analysis:Mathematics of Scientific Computing. Brooks/Cole Publishing Company, 1996.