Fields of Values of Linear Pencils and Spectral Inclusion Regions

DOI10.1007/978-3-319-49984-0_12zbMath1402.65032OpenAlexW2593920260MaRDI QIDQ4554527

João da Providência, J. jun. da Providência, Natália Bebiano, A. Nata

Publication date: 14 November 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/44402

zbMATH Keywords

field of valueslinear pencilselfadjoint linear pencil

Mathematics Subject Classification ID

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

Related Items

Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts ⋮ Matrix pencils with the numerical range equal to the whole complex plane

Uses Software

• MatrixMarket

Cites Work

• Bounds on the eigenvalue range and on the field of values of non-Hermitian and indefinite finite element matrices
• Numerical range of linear pencils
• Computing the numerical range of Krein space operators
• Fields of values and inclusion regions for matrix pencils
• Computer generated numerical ranges and some resulting theorems
• Numerical Range of Matrix Polynomials
• Shapes and computer generation of numerical ranges of Krein space operators
• The Characteristic Polynomial of Linear Pencils of Small Size and the Numerical Range
• The Toeplitz-Hausdorff Theorem Explained
• Über den Wertevorrat einer Matrix
• The numerical range of linear pencils of 2-by-2 matrices