Geodesic
Inequalities of singular values and unitarily invariant norms for sums and products of matrices
Filomat, Tome 36 (2022) no. 1, p. 31

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DOI

In this work, we investigate inequalities of singular values and unitarily invariant norms for sums and products of matrices. First, we give an another more concise and clear proof to inequality obtained by Chen and Zhang [6, Theorem 5]. Then, we establish an inequality for singular values. In addition, we also give a singular values inequality for sums and products of matrices. As applications of this inequality, we present some unitarily invariant norms inequalities
DOI : 10.2298/FIL2201031Z
Classification : 15A18, 15A60, 15A42, 47A30, 47B15
Keywords: Singular values, Block matrices, Positive semidefinite matrices, Unitarily invariant norms 
Jianguo Zhao. Inequalities of singular values and unitarily invariant norms for sums and products of matrices. Filomat, Tome 36 (2022) no. 1, p. 31 . doi: 10.2298/FIL2201031Z
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     title = {Inequalities of singular values and unitarily invariant norms for sums and products of matrices},
     journal = {Filomat},
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     year = {2022},
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     doi = {10.2298/FIL2201031Z},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2201031Z/}
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