Singular Values of Differences of Positive Semidefinite Matrices

DOI10.1137/S0895479800369840zbMath0985.15016MaRDI QIDQ2706290

Xingzhi Zhan

Publication date: 19 March 2001

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

inequalities involving singular valuessingular valuesmajorizationpositive semidefinite matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (33)

Singular value inequalities for operators and matrices ⋮ On commutator of generalized Aluthge transformations and Fuglede-Putnam theorem ⋮ More results on generalized singular number inequalities of \(\tau\)-measurable operators ⋮ Commutators and accretive operators ⋮ The singular values of \(A+B\) and \(A+iB\) ⋮ Commutator inequalities for Hilbert space operators ⋮ The spectral spread of Hermitian matrices ⋮ Unitarily invariant norm inequalities for positive semidefinite matrices ⋮ Singular value inequalities for accretive-dissipative normal operators ⋮ Inequalities for sums and direct sums of Hilbert space operators ⋮ Generalizations for singular value and arithmetic-geometric mean inequalities of operators ⋮ More inequalities for positive semidefinite \(2 \times 2\) block matrices and their blocks ⋮ Norm inequalities for the spectral spread of Hermitian operators ⋮ On generalized singular number of positive matrix of τ measurable operators ⋮ Fischer type determinantal inequalities for accretive-dissipative matrices ⋮ Upper and lower bounds for the \(p\)-numerical radii of operators ⋮ On some inequalities for unitarily invariant norms and singular values ⋮ On some matrix inequalities. ⋮ Singular value and unitarily invariant norm inequalities for sums and products of operators ⋮ Generalizations for singular value inequalities of operators ⋮ Singular value and norm inequalities of Davidson-Power type ⋮ The matrix arithmetic-geometric mean inequality revisited ⋮ Singular value inequalities for compact operators ⋮ Norm inequalities for accretive-dissipative operator matrices ⋮ More results on singular value inequalities of matrices ⋮ Unitarily invariant norm inequalities for accretive-dissipative operator matrices ⋮ Inequalities for commutators of positive operators ⋮ Singular value inequalities and applications ⋮ Singular value inequalities for commutators of Hilbert space operators ⋮ A characterization on singular value inequalities of matrices ⋮ Randomized Approximation of the Gram Matrix: Exact Computation and Probabilistic Bounds ⋮ Inequalities for accretive-dissipative block matrices involving convex and concave functions ⋮ An extension of Bhatia and Kittaneh's result and its application

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