Computational aspect to the nearest matrix with two prescribed eigenvalues

DOI10.1016/j.laa.2009.04.025zbMath1179.65042OpenAlexW2087639516MaRDI QIDQ1044578

D. Rajabi, A. M. Nazari

Publication date: 18 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.04.025

zbMATH Keywords

normal matrixsingular valuespectral normnearest matrixtwo prescribed eigenvalues

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (4)

Perturbation analysis on matrix pencils for two specified eigenpairs of a semisimple eigenvalue with multiplicity two ⋮ Nearest matrix with prescribed eigenvalues and its applications ⋮ On the distance from a weakly normal matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Nearest matrix with two prescribed eigenvalues
• A formula for the 2-norm distance from a matrix to the set of matrices with multiple eigenvalues
• Fixing two eigenvalues by a minimal perturbation

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