Araştırma Makalesi
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On Error Analysis of Systems of Linear Equations with Hadamard Coefficients

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

Öz

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.

Kaynakça

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

Öz

Kaynakça

  • [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.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Araştırma Makalesi
Yazarlar

Emine Tuğba Akyüz 0000-0002-7189-0974

Yayımlanma Tarihi 31 Aralık 2022
Gönderilme Tarihi 26 Eylül 2022
Kabul Tarihi 20 Ekim 2022
Yayımlandığı Sayı Yıl 2022

Kaynak Göster

IEEE E. T. Akyüz, “On Error Analysis of Systems of Linear Equations with Hadamard Coefficients”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, c. 11, sy. 4, ss. 1112–1116, 2022, doi: 10.17798/bitlisfen.1180367.



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