An Inverse Problem for the $k$-Rank Numerical Range

DOI10.1137/15M1009342zbMath1347.15030OpenAlexW2513814335MaRDI QIDQ2818264

John Maroulas, Georgios Katsouleas

Publication date: 7 September 2016

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

Full work available at URL: https://doi.org/10.1137/15m1009342

zbMATH Keywords

inverse problemcompressionshigher rank numerical range

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Dilations, extensions, compressions of linear operators (47A20)

Uses Software

• IRAM

Cites Work

• Unnamed Item
• Interaction between Hermitian and normal imbeddings
• Ritz values of normal matrices and Ceva's theorem
• The \(k\)-rank numerical radii
• The constrained bilinear form and the C-numerical range
• Completely positive linear maps on complex matrices
• Diagonal imbeddings in a normal matrix
• The imbeddability for Hermitian and normal matrices
• A method for the inverse numerical range problem
• Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
• An inverse field of values problem
• Condition for the higher rank numerical range to be non-empty
• A simple algorithm for the inverse field of values problem
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Ritz Value Localization for Non-Hermitian Matrices
• Higher-rank numerical ranges of unitary and normal matrices
• Geometry of higher-rank numerical ranges

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