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PERTÜRBE MATRİSLER İÇİN İTERATİF TERS ALGORİTMASI

Year 2008, Volume: 3 Issue: 1, 107 - 112, 01.06.2008

Gülnur Çelık Kızılkan Kemal Aydın

Abstract

Bu çalışmada, A+D matrisinin tersini hesaplamak için iteratif ters metodu (IIM)
ve IIM üzerine kurulan iteratif ters algoritması (IIA) verildi. IIM, I birim matris olmak
üzere, A = I + D alarak A matrisinin regülerliğini kontrol etmek ve tersini hesaplamak
için de kullanılır. Ayrıca, IIA kullanılarak nümerik örnekler verildi.

Keywords

Pertürbe matrisin tersi Shermann- Morrison formülü İteratif ters algoritması

References

  • AYDIN K, 2004. Algorithm for checking a practical regularity of symmetric interval matrices, Sibirskii Zhurnal Industrial’noi Matematiki, 7(3),15-20 (in Russian).
  • BULGAK A, 2003. Algorithm for checking a practical regularity of interval matrices, Sibirskii Zhurnal Industrial’noi Matematiki, 6(1), 17-23 (in Russian).
  • BULGAK A, BULGAK H, 2001. Linear Algebra, Selçuk Univ. Research Center of Applied Mathematics, Konya (in Turkish).
  • CHANG F.C., 2006. Inversion of a perturbed matrix, Applied Mathematics Letters, 19, 169-173
  • GOLUB GH, VAN LOAN CF, 1991. Matrix Computation, 2nd Edition, The Johns Hopkins University Press, Baltimore.
  • HOUSEHOLDER AS, 1953. Principles of Numerical Analysis, McGraw-Hill Book Company, Inc., New York, Toronto, London.

Year 2008, Volume: 3 Issue: 1, 107 - 112, 01.06.2008

Gülnur Çelık Kızılkan Kemal Aydın

Abstract

References

  • AYDIN K, 2004. Algorithm for checking a practical regularity of symmetric interval matrices, Sibirskii Zhurnal Industrial’noi Matematiki, 7(3),15-20 (in Russian).
  • BULGAK A, 2003. Algorithm for checking a practical regularity of interval matrices, Sibirskii Zhurnal Industrial’noi Matematiki, 6(1), 17-23 (in Russian).
  • BULGAK A, BULGAK H, 2001. Linear Algebra, Selçuk Univ. Research Center of Applied Mathematics, Konya (in Turkish).
  • CHANG F.C., 2006. Inversion of a perturbed matrix, Applied Mathematics Letters, 19, 169-173
  • GOLUB GH, VAN LOAN CF, 1991. Matrix Computation, 2nd Edition, The Johns Hopkins University Press, Baltimore.
  • HOUSEHOLDER AS, 1953. Principles of Numerical Analysis, McGraw-Hill Book Company, Inc., New York, Toronto, London.
There are 6 citations in total.

Details

Primary Language English
Journal Section Makaleler
Authors

Gülnur Çelık Kızılkan This is me

Kemal Aydın

Publication Date June 1, 2008
Published in Issue Year 2008 Volume: 3 Issue: 1

Cite

IEEE G. Çelık Kızılkan and K. Aydın, “PERTÜRBE MATRİSLER İÇİN İTERATİF TERS ALGORİTMASI”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 3, no. 1, pp. 107–112, 2008, doi: 10.29233/sdufeffd.134645.