Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지
DOI QR코드

DOI QR Code

NEW INEQUALITIES CONNECTED WITH TRACES OF MATRICES

  • 투고 : 2021.10.06
  • 심사 : 2022.05.16
  • 발행 : 2022.09.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

This paper covers some important operator inequalities connected with traces of matrices, from the classical inequalities we obtained new inequalities connected with traces of matrices which are better than the others.

키워드

참고문헌

  1. Ali M. Farah, Generalized and Quadratic Eigenvalue Problems with Hermitian Matrices, Birmingham B15 2TT: The University of Birmingham, 2012.
  2. R.A. Horn and C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985.
  3. M. Marcus and H. Minc, A Survery of Matrix Theorem and Matrix Inequalities, Allyn and Bacon, Inc., Boston, 1964.
  4. Xiaojing Yang, A Matrix Trace Inequality, Tsinghua Uniersity, Beijing, People's Republic of China, 2000, 372-374.
  5. Mohammad H Al-Hawari, Zeros of Polynomials by Using some Inequalities, Far East Journal of Mathematical Sciences 100 (2016).
  6. Mohammad Al-Hawari, Raed Hatamleh, Ahmad Qazza, Sharper Inequalities for Powers of the Numerical Radii of Hilbert Space Operators, International Mathematical Forum 4 (2009), 1413-1417.
  7. M. Al-Hawari, and M. AL-Nawasreh, Study of Partitioned Operators and Its Applications, Theoretical Mathematics and Applications Journal 7 (2017), 1-15.
  8. M. Al-Hawari, and A.A. Aldahash, New Inequalities for Numerical Radius of Hilbert Space Operator And New Bounds For The Zeros Of Polynomials, In Journal of Physics: Conference Series 423 IOP Publishing, 2013.
  9. A.S. Heilat, H. Zureigat, R.E. Hatamleh, and B. Batiha, New Spline Method for Solving Linear Two-point Boundary Value Problems, European Journal of Pure and Applied Mathematics 14 (2021), 1283-1294. https://doi.org/10.29020/nybg.ejpam.v14i4.4124