On theq-numerical range of matrices and matrix polynomials

DOI10.1080/03081080500167596zbMath1078.15021OpenAlexW2005319551MaRDI QIDQ5693573

Mao-Ting Chien, Hiroshi Nakazato, Panayiotis J. Psarrakos

Publication date: 26 September 2005

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

Full work available at URL: https://doi.org/10.1080/03081080500167596

zbMATH Keywords

algebraic curveboundarymatrixmatrix polynomial\(q\)-numerical rangesimply connected

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22)

Related Items (3)

The q-numerical range and the Davis-Wielandt shell of reducible 3 × 3 matrices ⋮ Approximation of the numerical range of polynomial operator matrices ⋮ Birkhoff-James approximate orthogonality sets and numerical ranges

Cites Work

• Point equation of the boundary of the numerical range of a matrix polynomial
• Numerical Range of Matrix Polynomials
• A generalized numerical range: the range of a constrained sesquilinear form
• Some Results on the q-Numerical
• Theq-numerical range of matrix polynomials
• Normal and seminormal eigenvalues of matrix functions
• On the shape of numerical range of matrix polynomials
• Davis-Wielandt shell and \(q\)-numerical range
• The numerical range of linear pencils of 2-by-2 matrices

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