Fixing two eigenvalues by a minimal perturbation
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The author presents a generalization of the optimal perturbation \(\Delta M\) to a given matrix \(M\) (in the sense that \(\|\Delta M\|_2\) is minimal such that \(M-\Delta M\) has a given eigenvalue \(\lambda_0\)), namely: finding \(\|\Delta M\|_2\) optimal perturbation of \(M\) such that \(M-\Delta M\) has two given eigenvalues \(\lambda_0\) and \(\lambda_1\).
- Massachusetts Institute of Technology United States
Numerical Analysis, Algebra and Number Theory, eigenvalue perturbation, matrix perturbation, Inequalities involving eigenvalues and eigenvectors, singular value perturbation, Eckart-Young theorem, Singular value perturbation, Matrix perturbation, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Discrete Mathematics and Combinatorics, Geometry and Topology, Eigenvalue perturbation
Numerical Analysis, Algebra and Number Theory, eigenvalue perturbation, matrix perturbation, Inequalities involving eigenvalues and eigenvectors, singular value perturbation, Eckart-Young theorem, Singular value perturbation, Matrix perturbation, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Discrete Mathematics and Combinatorics, Geometry and Topology, Eigenvalue perturbation
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