Singular Value Inequalities for Matrix Sums and Products

Authors

  • Ahmad Al-Natoor Department of Mathematics, Faculty of Sciences, Isra University, Amman 11622, Jordan
  • Rawan Al-Smadi Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan
  • Aliaa Burqan Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5844

Keywords:

Positive semidefinite matrix, singular value, spectral norm, inequality

Abstract

In this paper, we discuss some inequalities involving singular values for matrix sums and products. In some of our results, we prove inequalities for functions of matrices and this enables us to give a generalization of known recent result.

Author Biographies

  • Ahmad Al-Natoor, Department of Mathematics, Faculty of Sciences, Isra University, Amman 11622, Jordan

    Department of Mathematics, Faculty of Sciences, Isra University, Amman
    11622, Jordan

  • Rawan Al-Smadi, Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan

    Department of Mathematics, Faculty of Science, Zarqa University, Zarqa
    13110, Jordan

  • Aliaa Burqan, Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan

    Department of Mathematics, Faculty of Science, Zarqa University, Zarqa
    13110, Jordan

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical Analysis

License

Copyright (c) 2025 Ahmad Al-Natoor, Rawan Al-Smadi, Aliaa Burqan

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How to Cite

Singular Value Inequalities for Matrix Sums and Products. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5844. https://doi.org/10.29020/nybg.ejpam.v18i2.5844