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Singular value and norm inequalities for products and sums of matrices

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Abstract

In this paper, we give singular value and norm inequalities involving convex functions of positive semidefinite matrices. Our results generalize some known inequalities for the spectral norm and for the Schatten p-norms for \( p\ge 1\).

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Authors and Affiliations

  1. Department of Mathematics, Isra University, Amman, Jordan

    Ahmad Al-Natoor

  2. Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa, Jordan

    Omar Hirzallah

  3. Department of Mathematics, The University of Jordan, Amman, Jordan

    Fuad Kittaneh

Authors
  1. Ahmad Al-Natoor
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  2. Omar Hirzallah
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  3. Fuad Kittaneh
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Correspondence to Fuad Kittaneh.

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Al-Natoor, A., Hirzallah, O. & Kittaneh, F. Singular value and norm inequalities for products and sums of matrices. Period Math Hung 88, 204–217 (2024). https://doi.org/10.1007/s10998-023-00548-z

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  • DOI: https://doi.org/10.1007/s10998-023-00548-z

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