Research Article

On Error Analysis of Systems of Linear Equations with Hadamard Coefficients

Volume: 11 Number: 4 December 31, 2022
EN

On Error Analysis of Systems of Linear Equations with Hadamard Coefficients

Abstract

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

References

  1. [1] R. K. R. Yarlagadda and J. E. Hershey, Matrix Analysis and Synthesis. USA: Kluwer Academic Publishers, 1997.
  2. [2] K. J. Horadam, Hadamard Matrices and Their Applications. Princeton University Press, 2007.
  3. [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. [4] J. Seberry, B. J. Wysocki, and T. A. Wysocki, “On some applications of Hadamard matrices,” Metrika, vol. 62, pp. 221–239, 2005.
  5. [5] G. H. Golub and C. F. Van Loan, Matrix Computations (Third edition). Baltimore, MD: Johns Hopkins University Press, 1996.
  6. [6] L. W. Johnson and R. D. Riess, Numerical Analysis (Second eddition). Addison Wesley Publishing Company, 1982.
  7. [7] E. T. Akyüz, “Hadamard Matrices and the Ax=f Problem,” Selcuk University, Institute of Sciences, Konya, 2010.
  8. [8] D. R. Kincaid and E. W. Cheney, Numerical Analysis:Mathematics of Scientific Computing. Brooks/Cole Publishing Company, 1996.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

December 31, 2022

Submission Date

September 26, 2022

Acceptance Date

October 20, 2022

Published in Issue

Year 2022 Volume: 11 Number: 4

APA
Akyüz, E. T. (2022). On Error Analysis of Systems of Linear Equations with Hadamard Coefficients. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 11(4), 1112-1116. https://doi.org/10.17798/bitlisfen.1180367
AMA
1.Akyüz ET. On Error Analysis of Systems of Linear Equations with Hadamard Coefficients. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2022;11(4):1112-1116. doi:10.17798/bitlisfen.1180367
Chicago
Akyüz, Emine Tuğba. 2022. “On Error Analysis of Systems of Linear Equations With Hadamard Coefficients”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 11 (4): 1112-16. https://doi.org/10.17798/bitlisfen.1180367.
EndNote
Akyüz ET (December 1, 2022) On Error Analysis of Systems of Linear Equations with Hadamard Coefficients. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 11 4 1112–1116.
IEEE
[1]E. T. Akyüz, “On Error Analysis of Systems of Linear Equations with Hadamard Coefficients”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 11, no. 4, pp. 1112–1116, Dec. 2022, doi: 10.17798/bitlisfen.1180367.
ISNAD
Akyüz, Emine Tuğba. “On Error Analysis of Systems of Linear Equations With Hadamard Coefficients”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 11/4 (December 1, 2022): 1112-1116. https://doi.org/10.17798/bitlisfen.1180367.
JAMA
1.Akyüz ET. On Error Analysis of Systems of Linear Equations with Hadamard Coefficients. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2022;11:1112–1116.
MLA
Akyüz, Emine Tuğba. “On Error Analysis of Systems of Linear Equations With Hadamard Coefficients”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 11, no. 4, Dec. 2022, pp. 1112-6, doi:10.17798/bitlisfen.1180367.
Vancouver
1.Emine Tuğba Akyüz. On Error Analysis of Systems of Linear Equations with Hadamard Coefficients. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2022 Dec. 1;11(4):1112-6. doi:10.17798/bitlisfen.1180367

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