Singular value inequalities for matrix sums and minors

DOI10.1016/0024-3795(75)90025-7zbMath0343.15008OpenAlexW2037016398MaRDI QIDQ1232560

Robert C. Thompson

Publication date: 1975

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(75)90025-7

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (9)

On the Energy of Graphs ⋮ The graph energy game ⋮ A convex variational model for learning convolutional image atoms from incomplete data ⋮ Graph energy change due to edge deletion ⋮ The behavior of eigenvalues and singular values under perturbations of restricted rank ⋮ Convexity conditions and existence theorems in nonlinear elasticity ⋮ Edge addition, singular values, and energy of graphs and matrices ⋮ The strengthened versions of the additive and multiplicative Weyl inequalities ⋮ Faces of the unit ball of a unitarily invariant norm

Cites Work

• Über die Eigenwerte der Summe zweier selbstadjungierter Operatoren
• On the eigenvalues of sums of Hermitian matrices
• Principal submatrices. IX: Interlacing inequalities for singular values of submatrices
• On a construction of B.P. Zwahlen
• Eigenvalues of partitioned hermitian matrices
• Inequalities connecting the eigenvalues of a hermitian matrix with the eigenvalues of complementary principal submatrices
• The Eigenvalues of Complementary Principal Submatrices of a Positive Definite Matrix
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
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