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Level: BSc, MSci, MSc
Title: Eigenvalue perturbation theory
Supervisor:

Dr Oscar Bandtlow
Research Area: Dynamical Systems and Statistical Physics
Description:

How do the eigenvalues of a matrix change, if the entries of the matrix are changed? This is an interesting question of practical importance, which, in spite of its comparatively long history, still offers unexplored areas. The aim of the project is to get acquainted with the basics of the theory and, if time permits, explore some uncharted territory.
Further Reading:

  • R. Bhatia, Matrix Analysis. Springer, New York, 1997.

  • O.F. Bandtlow, A. Guven, Explicit upper bounds for the spectral distance of two trace class operators, Linear Algebra Appl. 466 (2015) 329–342.
Key Modules:

MTH5112 Linear Algebra I

MTH5104 Convergence and Continuity

MTH5105 Differential and Integral Analysis

 
Other Information:
Current Availability: Yes