On the lengths of Jordan chains for eigenvalues on the boundary of numerical range of quadratic operator polynomial

DOI10.1016/j.laa.2003.07.002zbMath1073.47007OpenAlexW2037075830MaRDI QIDQ1827504

N. Ya. Krupnik

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.07.002

zbMATH Keywords

numerical rangematrix polynomialJordan chainoperator polynomial

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Spectral sets of linear operators (47A25)

Related Items (1)

The quadratic numerical range of an analytic operator function

Cites Work

• The numerical range of \(3 \times 3\) matrices
• Geometry of the numerical range of matrices
• Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials
• The Numerical Range of Self-Adjoint Quadratic Matrix Polynomials
• On the Field of Values of a Matrix
• Über den Wertevorrat einer Matrix
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