On Multiple Eigenvalues of a Matrix Dependent on a Parameter

DOI10.1007/978-3-319-45641-6_20zbMath1453.15008OpenAlexW2513560036MaRDI QIDQ2830007

Elizabeth A. Kalinina

Publication date: 9 November 2016

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-45641-6_20

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrices over function rings in one or more variables (15A54)

Related Items (1)

Decompositions and coalescing eigenvalues of symmetric definite pencils depending on parameters

Cites Work

• Matrix multiplication via arithmetic progressions
• Algebraic complexity of computing polynomial zeros
• A method for computing all values \({\lambda}\) such that \(A + {\lambda}B\) has a multiple eigenvalue
• Gaussian elimination is not optimal
• Computing all Pairs (λ,μ) Such That λ is a Double Eigenvalue of A+μB
• Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters
• Optimization and Pseudospectra, with Applications to Robust Stability
• Structured Hölder Condition Numbers for Multiple Eigenvalues
• Eigenvalue condition numbers and a formula of Burke, Lewis and Overton
• Expansion of determinantal equations into polynomial form
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