The inverse \(q\)-numerical range problem and connections to the Davis-Wielandt shell and the pseudospectra of a matrix

DOI10.1016/j.laa.2017.05.041zbMath1372.65132OpenAlexW2619511300MaRDI QIDQ2402467

Mostafa Zahed Jahromi, Russell L. Carden

Publication date: 7 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.05.041

zbMATH Keywords

algorithmeigenvaluesnumerical rangefield of valuesRitz valuespseudospectraMöbius transformationsingular valueDavis-Wielandt shellinverse numerical range problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (2)

Generating curves of the inverse \(q\)-numerical ranges of 2-by-2 matrices ⋮ Inverse numerical range and determinantal representation

Uses Software

• Eigtool

Cites Work

• The computation of isotropic vectors
• Elliptical range theorems for generalized numerical ranges of quadratic operators
• The constrained bilinear form and the C-numerical range
• Revisiting the inverse field of values problem
• On eigenvalues of sums of normal matrices
• An Extension of the Hausdorff-Toeplitz Theorem on the Numerical Range
• A method for the inverse numerical range problem
• Quantum error correction and generalized numerical ranges
• An inverse field of values problem
• Davis-Wielandt shells of operators
• A simple algorithm for the inverse field of values problem
• Hermitian Forms and the Fibration of Spheres
• Numerical Determination of the Field of Values of a General Complex Matrix
• A generalized numerical range: the range of a constrained sesquilinear form
• Some Results on the q-Numerical
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