SPECTRAL INEQUALITIES FOR POSITIVE SEMIDEFINITE HERMITIAN MATRICES

Authors

  • M.O. Abdurakhmatova Tashkent University of Information Technologies student Author
  • S.J. Yodgarov Senior Lecturer of Tashkent University of Applied Sciences Author
  • O.I. Omonov Senior Lecturer of National Pedagogical University of Uzbekistan Author

Keywords:

Hermitian matrix, eigenvalue, matrix trace.

Abstract

This paper investigates inequalities involving the largest eigenvalue, rank, and trace of positive semidefinite Hermitian matrices. The key estimates are established using the spectral theorem.

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Published

2026-05-16

Issue

Vol. 4 No. 5 (2026): WEJLE

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

SPECTRAL INEQUALITIES FOR POSITIVE SEMIDEFINITE HERMITIAN MATRICES. (2026). Western European Journal of Linguistics and Education, 4(5), 80-82. https://westerneuropeanstudies.com/index.php/2/article/view/3622