Completion of Hankel partial contractions of extremal type

DOI10.1063/1.4769992zbMath1287.15010OpenAlexW2047753109MaRDI QIDQ2872430

Raúl E. Curto, Jasang Yoon, Sang Hoon Lee

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7571df659031e14977ddad8f9aca2f704dfb4deb

zbMATH Keywords

Hankel matrixCholeski's algorithmcontractive completionHankel partial contraction

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Toeplitz, Cauchy, and related matrices (15B05) Matrix completion problems (15A83)

Related Items

Essential commutativity and spectral properties of slant Hankel operators over Lebesgue spaces ⋮ Contractive symmetric matrix completion problems related to graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Completion of partial matrices to contractions
• On completion problems for various classes of \(P\)-matrices
• Strictly contractive and positive completions for block matrices
• Interpolation problems in nest algebras
• An extremal problem for extensions of a sesquilinear form
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• A connection between positive semidefinite and Euclidean distance matrix completion problems
• Matrix completion problems for pairs of related classes of matrices.
• Contractive completions of Hankel partial contractions
• Completion of Toeplitz Partial Contractions
• The distance to upper triangular operators
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
• On unbounded toeplitz matrices and nonstationary time series with an application to information theory