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Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonials with Spectral Parameter in the Initial Conditions

Year 2013, Volume: 3 Issue: 1, 20 - 27, 01.04.2013

Abstract

In this paper, the concept of generalized spectral function is introduced for finite order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. Also the most important feature of the problem that there initial conditions, the spectral parameter linearly.

References

  • G. Sh. Guseinov, Symmetry Integrability and Geometry: Methods and Appl., 2009, 28 pages.
  • D. Boley, G. H. Golub, Inverse Problems 1987, 3, 595.
  • Kh. D. Ikramov, V. N. Chugunov, J. Math. Sciences, 2000, 98, 51.
  • M. T. Chu, G. H. Golub, Inverse eigenvalue problems: Theory, Algorithms and Applications, Oxford University Press, New York, 2005.
  • V. A. Marchenko, Mat. Sb,. 1960, 52, 739 (in Russian).
  • F. S. Rofe-Beketov, Mat. Sb,. 1960, 51, 293 (in Russian).
  • G. Sh. Guseinov, Mat. Zametki, 1978, 23, 237 (English transl.: Math. Notes, 1978, 23, 130).
  • G. Sh. Guseinov, Izv. Akad. Nauk Azerb. SSR Ser. Fiz.-Tekhn. Mat. Nauk, 1978, no. 5, 16 (in Russian).
  • Yu. L. Kishakevich, Mat. Zametki, 1972, 11, 437 (English tranl.: Math. Notes, 1972, 11, 266).
  • Yu. L. Kishakevich, Mat. Zametki, 1972, 11, 661 (English tranl.: Math. Notes, 1972,11, 402).

Başlangıç Şartlarında Spektral Parametre Bulunan Kompleks Terimli N x N Tridiagonal Matrisler İçin Ters Spektral Problemler

Year 2013, Volume: 3 Issue: 1, 20 - 27, 01.04.2013

Abstract

Bu çalışmada, genelleştirilmiş spektral fonksiyon kavramı karmaşık girişleri ile tridiagonal simetrik matrisler (Jacobi matrisler) için tanıtılmıştır. Ayrıca bakılan problemin en önemli özelliği başlangıç şartlarında spektral parametrenin doğrusal olarak bulunmasıdır.

References

  • G. Sh. Guseinov, Symmetry Integrability and Geometry: Methods and Appl., 2009, 28 pages.
  • D. Boley, G. H. Golub, Inverse Problems 1987, 3, 595.
  • Kh. D. Ikramov, V. N. Chugunov, J. Math. Sciences, 2000, 98, 51.
  • M. T. Chu, G. H. Golub, Inverse eigenvalue problems: Theory, Algorithms and Applications, Oxford University Press, New York, 2005.
  • V. A. Marchenko, Mat. Sb,. 1960, 52, 739 (in Russian).
  • F. S. Rofe-Beketov, Mat. Sb,. 1960, 51, 293 (in Russian).
  • G. Sh. Guseinov, Mat. Zametki, 1978, 23, 237 (English transl.: Math. Notes, 1978, 23, 130).
  • G. Sh. Guseinov, Izv. Akad. Nauk Azerb. SSR Ser. Fiz.-Tekhn. Mat. Nauk, 1978, no. 5, 16 (in Russian).
  • Yu. L. Kishakevich, Mat. Zametki, 1972, 11, 437 (English tranl.: Math. Notes, 1972, 11, 266).
  • Yu. L. Kishakevich, Mat. Zametki, 1972, 11, 661 (English tranl.: Math. Notes, 1972,11, 402).
There are 10 citations in total.

Details

Primary Language Turkish
Journal Section Research Articles
Authors

Bayram Bala This is me

Manaf Manafov This is me

Publication Date April 1, 2013
Published in Issue Year 2013 Volume: 3 Issue: 1

Cite

APA Bala, B., & Manafov, M. (2013). Başlangıç Şartlarında Spektral Parametre Bulunan Kompleks Terimli N x N Tridiagonal Matrisler İçin Ters Spektral Problemler. Adıyaman University Journal of Educational Sciences, 3(1), 20-27.

                                                                                                                                                                                                                                                      
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