The numerical range of linear pencils of 2-by-2 matrices

DOI10.1016/S0024-3795(01)00292-0zbMath0996.15022MaRDI QIDQ5957184

Mao-Ting Chien, Hiroshi Nakazato

Publication date: 31 October 2002

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

zbMATH Keywords

Lagrange multipliernumerical rangematrix polynomialJacobian methodlinear pencil

Mathematics Subject Classification ID

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

Related Items (9)

Fields of Values of Linear Pencils and Spectral Inclusion Regions ⋮ The ratio field of values ⋮ Compressions of linearly independent selfadjoint operators ⋮ Generalized Rayleigh quotients and generating vectors ⋮ Ratio numerical ranges of operators ⋮ On theq-numerical range of matrices and matrix polynomials ⋮ On the shape of numerical range of matrix polynomials ⋮ Matrix pencils with the numerical range equal to the whole complex plane ⋮ Point equation of the boundary of the numerical range of a matrix polynomial

Cites Work

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• The constrained bilinear form and the C-numerical range
• Boundary generating curves of the \(c\)-numerical range
• Numerical range of linear operators in spaces with indefinite metric
• The boundary of the numerical range of matrix polynomials
• On geometric properties of the numerical range
• Numerical range of linear pencils
• On the connectedness of numerical range of matrix polynomials
• Computer generated numerical ranges and some resulting theorems
• Numerical Range of Matrix Polynomials
• Compressions and Dilations of Numerical Ranges
• Numerical ranges of an operator on an indefinite inner product space

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