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On Error Analysis of Systems of Linear Equations with Hadamard Coefficients

Year 2022, , 1112 - 1116, 31.12.2022
https://doi.org/10.17798/bitlisfen.1180367

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.

References

  • [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.
Year 2022, , 1112 - 1116, 31.12.2022
https://doi.org/10.17798/bitlisfen.1180367

Abstract

References

  • [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.
There are 8 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Araştırma Makalesi
Authors

Emine Tuğba Akyüz 0000-0002-7189-0974

Publication Date December 31, 2022
Submission Date September 26, 2022
Acceptance Date October 20, 2022
Published in Issue Year 2022

Cite

IEEE 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, 2022, doi: 10.17798/bitlisfen.1180367.



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