Singular value inequalities and applications
Sign Up to like & getrecommendations! Published in 2020 at "Positivity"
DOI: 10.1007/s11117-020-00790-6
Abstract: It is shown among other inequalities that if A, B and X are $$n\times n$$ complex matrices such that A and B are positive semidefinite, then $$s_{j}(AX-XB)\le $$ $$s_{j}\left( \left( \frac{1}{2}A+\frac{1}{2}A^{1/2}\left| X^{*}\right| ^{2}A^{1/2}\right) \oplus \left( \frac{1}{2}B+\frac{1}{2}… read more here.
Keywords: singular value; inequalities applications; right right; value inequalities ... See more keywords
Generalizations of recent singular value inequalities for sums of products of matrices
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DOI: 10.2298/fil2428905a
Abstract: Given four n ? n complex matrices A, B, X, Y, finding possible bounds for the singular values of the new matrix AX + YB has been of interest. In this paper, we discuss this… read more here.
Keywords: value inequalities; recent singular; generalizations recent; singular value ... See more keywords