Extremal eigenvalue problems for convex sets of symmetric matrices and operators

DOI10.1007/BF02787574zbMath0279.15007MaRDI QIDQ1394278

Shmuel Friedland

Publication date: 1973

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Eigenvalue problems for integral equations (45C05)

Related Items (12)

Weak interlacing properties of totally positive matrices ⋮ Submodular spectral functions of principal submatrices of a Hermitian matrix, extensions and applications ⋮ The reconstruction of a symmetric matrix from the spectral data ⋮ Extremal eigenvalue problems with indefinite kernels ⋮ \(p\)-metrics on \(\mathbf{GL}(n,\mathbb C)\mathbf U_n\) and their Busemann compactifications. ⋮ Finite and infinite dimensional generalizations of Klyachko's theorem ⋮ A SYSTEMS THEORY OF MULTI-LEVEL, MULTIPLE OBJECTIVE EVALUATION AND DECISION-MAKING† ⋮ Inverse eigenvalue problems ⋮ Extremal eigenvalue problems defined for certain classes of functions ⋮ Eigenvalues, invariant factors, highest weights, and Schubert calculus ⋮ Extremal eigenvalue problems ⋮ On the eigenvalues of non-negative Jacobi matrices

Cites Work

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• Some eigenvalue estimates
• Total positivity, interpolation by splines, and Green's functions of differential operators
• Some extremal problems for eigenvalues of certain matrix and integral operators
• Convexity of functionals by transplantation
• Isoperimetric eigenvalue problems in algebras
• Univalence Conditions and Sturm-Liouville Eigenvalues

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