Point equation of the boundary of the numerical range of a matrix polynomial

DOI10.1016/S0024-3795(01)00549-3zbMath1006.15031MaRDI QIDQ1611844

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

Publication date: 28 August 2002

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

zbMATH Keywords

numerical rangealgebraic curveboundarymatrix pencil

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrix pencils (15A22)

Related Items

The q-numerical range and the Davis-Wielandt shell of reducible 3 × 3 matrices ⋮ Self-inversive Hilbert space operator polynomials with spectrum on the unit circle ⋮ Complex Formulation of Poncelet Property in Numerical Range ⋮ Determinantal representation of trigonometric polynomial curves via Sylvester method ⋮ Enclosure of the numerical range of a class of non-selfadjoint rational operator functions ⋮ A new Poncelet curve for the boundary generating curve of a numerical range ⋮ The ratio field of values ⋮ Theta divisor and Abel map for 4-by-4 matrices ⋮ On theq-numerical range of matrices and matrix polynomials ⋮ Numerical approximation of the boundary of numerical range of matrix polynomials ⋮ Matrix pencils with the numerical range equal to the whole complex plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometry of the numerical range of matrices
• The boundary of the numerical range of matrix polynomials
• Numerical Range of Matrix Polynomials
• On the Field of Values of a Square Matrix
• Some results on numerical ranges and factorizations of matrix polynomials
• Über den Wertevorrat einer Matrix
• On the shape of numerical range of matrix polynomials
• The numerical range of linear pencils of 2-by-2 matrices

This page was built for publication: Point equation of the boundary of the numerical range of a matrix polynomial