Bounds for eigenvalues and singular values of matrix completions

DOI10.1080/03081089308818197zbMath0812.15009OpenAlexW2029928863MaRDI QIDQ4033473

Israel Gohberg, Leiba Rodman, Tamir Shalom, Hugo J. Woerdeman

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1080/03081089308818197

zbMATH Keywords

eigenvaluessingular valuesmatrix completionspartial Hermitian matricespartial block triangular matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Completions of partial Jordan and Hessenberg matrices ⋮ Superoptimal completions of triangular matrices ⋮ Jordan structures of strictly lower triangular completions of nilpotent matrices ⋮ Powers of defective matrices from diagonalizable dilations ⋮ On singular values of partially prescribed matrices ⋮ A converse to a theorem of Adamyan, Arov and Krein

Cites Work

• Completion of partial matrices to contractions
• Positive definite completions of partial Hermitian matrices
• The lower order of lower triangular operators and minimal rank extensions
• Extensions of band matrices with band inverses
• Interpolation problems in nest algebras
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• Inertia possibilities for completions of partial hermitian matrices^*
• Matrix Analysis
• Completion of Toeplitz Partial Contractions

This page was built for publication: Bounds for eigenvalues and singular values of matrix completions