TY  - JOUR
T1  - On Error Analysis of Systems of Linear Equations with Hadamard Coefficients
AU  - Akyüz, Emine Tuğba
PY  - 2022
DA  - December
Y2  - 2022
DO  - 10.17798/bitlisfen.1180367
JF  - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
PB  - Bitlis Eren University
WT  - DergiPark
SN  - 2147-3129
SP  - 1112
EP  - 1116
VL  - 11
IS  - 4
LA  - en
AB  - 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.
KW  - Hadamard matrices
KW  - Error analysis
KW  - Relative error
KW  - Absolute error
CR  - [1]	R. K. R. Yarlagadda and J. E. Hershey, Matrix Analysis and Synthesis. USA: Kluwer Academic Publishers, 1997.
CR  - [2]	K. J. Horadam, Hadamard Matrices and Their Applications. Princeton University Press, 2007.
CR  - [3]	A. Hedayat and W. D. Wallis, “Hadamard matrices and their applications,” The Annals of Statistics, vol. 6, no. 6, pp. 1184–1238, 1978.
CR  - [4]	J. Seberry, B. J. Wysocki, and T. A. Wysocki, “On some applications of Hadamard matrices,” Metrika, vol. 62, pp. 221–239, 2005.
CR  - [5]	G. H. Golub and C. F. Van Loan, Matrix Computations (Third edition). Baltimore, MD: Johns Hopkins University Press, 1996.
CR  - [6]	L. W. Johnson and R. D. Riess, Numerical Analysis (Second eddition). Addison Wesley Publishing Company, 1982.
CR  - [7]	E. T. Akyüz, “Hadamard Matrices and the Ax=f Problem,” Selcuk University, Institute of Sciences, Konya, 2010.
CR  - [8]	D. R. Kincaid and E. W. Cheney, Numerical Analysis:Mathematics of Scientific Computing. Brooks/Cole Publishing Company, 1996.
UR  - https://doi.org/10.17798/bitlisfen.1180367
L1  - https://dergipark.org.tr/en/download/article-file/2671909
ER  -