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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.


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 (2021). 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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