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Functions for detecting matrices with Jordan blocks

version (30.7 KB) by Alexei Mailybaev
Detecting a nearest matrix (or values of matrix parameters), when the matrix has a Jordan block.


Updated 01 Mar 2013

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This collection of functions assumes a real or complex matrix or a multi-parameter matrix family as an input. It provides the nearest matrix or values of parameters, when a Jordan block of a given order appears and computes the correponding eigenvalue and generalized eigenvectors.

The numerical method is based on the versal deformation theory and is described in the paper: Alexei A. Mailybaev, Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters, Numer. Linear Algebra Appl. 13(2006), 419–436.

There is a description in the readme.pdf file and some specifications in the file of each function.

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MATLAB Release Compatibility
Created with R2006a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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