Functions for detecting matrices with Jordan blocks

Version 1.2 (32.8 KB) by Alexei Mailybaev
Detecting a nearest matrix (or values of matrix parameters), when the matrix has a Jordan block.
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Updated 10 Dec 2018

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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.

Cite As

Alexei Mailybaev (2024). Functions for detecting matrices with Jordan blocks (https://www.mathworks.com/matlabcentral/fileexchange/40581-functions-for-detecting-matrices-with-jordan-blocks), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2006a
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.2

previous version was incorrectly replaced
1.1

There was a bug in JBlockCC.m
1.0.0.0