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Pseudo-spectrum and Numerical Range of Matrices Walker of Dimension Three

Yıl 2023, Cilt: 20 Sayı: 1, 1 - 8, 01.05.2023

Öz

The study of numerical range, spectrum and pseudo spectrum appears in diffrent sci- entific fields, for example the domain of spectral theory, the stability of dynamics elec- tricity, physics, the quantum mechanics. In this paper, we find the spectrum, pseudo- spectrum and numerical range on Walker manifolds of dimension three. Two examples are given for metric g f .

Destekleyen Kurum

University of oran 1 Ahmed Ben Bella, Algeria

Proje Numarası

2

Teşekkür

We thank all the members of this wonderful journal with high scientific and purposeful content

Kaynakça

  • O. Toeplitz, ”Das algebraische Analogon zu einem Staze von Feje´r,” Math. Z., vol. 2, pp. 187-197, 1918.
  • F. Hausdorff, ”Der Wertvorrat einer Bilinearform,” Math. Z., vol. 3, pp. 314-316, 1919.
  • A. Wintner, ”Zur Theorie der beschra¨nkten Bilinearformen,” Math. Z., vol. 30, pp. 228-282, 1929.
  • M. H. Stone, ”Linear transformations in Hilbert space and their applications to analysis,” A.M.S., New York, 1932.
  • L. Reichel, L. N .Trefethen, Eigenvalues and pseudo-eigenvalues of Toeplitz Matrice, Lin. Alg. Applics. 162-164 (1992), pp. 153-185.
  • M.M. Khorami, F. Ershad and B. Yousefi, ”On the Numerical Range of some Bounded Operators.” Journal of Mathe- matical Extension, vol. 15, 2020.
  • M. Chaichi, E. Garc´ıa-R´ıo and M.E. Va´zquez-Abal, ”Three-dimensional Lorentz manifolds admitting a parallel null vector field,” J. Phys. A: Math. Gen., vol. 38, pp. 841-850, 2005.
  • L. Trefethen and M. Embree, ”Spectra and Pseudospectra: The Behavior of Non-Normal Matrices and Operators,” Princeton University Press, Princeton, 2005.
  • K. E. Gustafson and K. M. R. Duggirala, ”Numerical Range, The Field of Values of Linear Operators and Matrices,” Springer, New York, 1997.
Yıl 2023, Cilt: 20 Sayı: 1, 1 - 8, 01.05.2023

Öz

Proje Numarası

2

Kaynakça

  • O. Toeplitz, ”Das algebraische Analogon zu einem Staze von Feje´r,” Math. Z., vol. 2, pp. 187-197, 1918.
  • F. Hausdorff, ”Der Wertvorrat einer Bilinearform,” Math. Z., vol. 3, pp. 314-316, 1919.
  • A. Wintner, ”Zur Theorie der beschra¨nkten Bilinearformen,” Math. Z., vol. 30, pp. 228-282, 1929.
  • M. H. Stone, ”Linear transformations in Hilbert space and their applications to analysis,” A.M.S., New York, 1932.
  • L. Reichel, L. N .Trefethen, Eigenvalues and pseudo-eigenvalues of Toeplitz Matrice, Lin. Alg. Applics. 162-164 (1992), pp. 153-185.
  • M.M. Khorami, F. Ershad and B. Yousefi, ”On the Numerical Range of some Bounded Operators.” Journal of Mathe- matical Extension, vol. 15, 2020.
  • M. Chaichi, E. Garc´ıa-R´ıo and M.E. Va´zquez-Abal, ”Three-dimensional Lorentz manifolds admitting a parallel null vector field,” J. Phys. A: Math. Gen., vol. 38, pp. 841-850, 2005.
  • L. Trefethen and M. Embree, ”Spectra and Pseudospectra: The Behavior of Non-Normal Matrices and Operators,” Princeton University Press, Princeton, 2005.
  • K. E. Gustafson and K. M. R. Duggirala, ”Numerical Range, The Field of Values of Linear Operators and Matrices,” Springer, New York, 1997.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Khalef Bouich 0000-0002-8580-7123

Derkaoui Rafik 0000-0003-3110-5203

Abderrahmane Smaıl 0000-0003-1180-8788

Proje Numarası 2
Yayımlanma Tarihi 1 Mayıs 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 20 Sayı: 1

Kaynak Göster

APA Bouich, K., Rafik, D., & Smaıl, A. (2023). Pseudo-spectrum and Numerical Range of Matrices Walker of Dimension Three. Cankaya University Journal of Science and Engineering, 20(1), 1-8.
AMA Bouich K, Rafik D, Smaıl A. Pseudo-spectrum and Numerical Range of Matrices Walker of Dimension Three. CUJSE. Mayıs 2023;20(1):1-8.
Chicago Bouich, Khalef, Derkaoui Rafik, ve Abderrahmane Smaıl. “Pseudo-Spectrum and Numerical Range of Matrices Walker of Dimension Three”. Cankaya University Journal of Science and Engineering 20, sy. 1 (Mayıs 2023): 1-8.
EndNote Bouich K, Rafik D, Smaıl A (01 Mayıs 2023) Pseudo-spectrum and Numerical Range of Matrices Walker of Dimension Three. Cankaya University Journal of Science and Engineering 20 1 1–8.
IEEE K. Bouich, D. Rafik, ve A. Smaıl, “Pseudo-spectrum and Numerical Range of Matrices Walker of Dimension Three”, CUJSE, c. 20, sy. 1, ss. 1–8, 2023.
ISNAD Bouich, Khalef vd. “Pseudo-Spectrum and Numerical Range of Matrices Walker of Dimension Three”. Cankaya University Journal of Science and Engineering 20/1 (Mayıs 2023), 1-8.
JAMA Bouich K, Rafik D, Smaıl A. Pseudo-spectrum and Numerical Range of Matrices Walker of Dimension Three. CUJSE. 2023;20:1–8.
MLA Bouich, Khalef vd. “Pseudo-Spectrum and Numerical Range of Matrices Walker of Dimension Three”. Cankaya University Journal of Science and Engineering, c. 20, sy. 1, 2023, ss. 1-8.
Vancouver Bouich K, Rafik D, Smaıl A. Pseudo-spectrum and Numerical Range of Matrices Walker of Dimension Three. CUJSE. 2023;20(1):1-8.