The ratio field of values

DOI10.1016/j.laa.2010.10.022zbMath1209.15024OpenAlexW1971350760MaRDI QIDQ624376

Charles R. Johnson, Brian Lins, Eduard Einstein, Ilya M. Spitkovskij

Publication date: 9 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.10.022

zbMATH Keywords

numerical rangegeneralized eigenvalue problemfield of valuesmatrix polynomialmatrix pencil

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) 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 (5)

The product field of values ⋮ Compressions of linearly independent selfadjoint operators ⋮ Ratio numerical ranges of operators ⋮ Optimal quotients for solving large eigenvalue problems ⋮ Convergence Properties of Hermitian and Skew Hermitian Splitting Methods

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical range of linear pencils
• Point equation of the boundary of the numerical range of a matrix polynomial
• General resolution of a convergence question of L. Krukier
• On the eigenvalues of A + B and AB
• Matrix Analysis
• Numerical Range of Matrix Polynomials
• Numerical ranges of an operator on an indefinite inner product space
• On the shape of numerical range of matrix polynomials
• A generalization of Sylvester's law of inertia
• The numerical range of linear pencils of 2-by-2 matrices

This page was built for publication: The ratio field of values