Smooth Takagi decomp. of a complex symmetric matrix function

Version 1.0.0 (5.91 KB) by Alessandro Pugliese
Numerical computation a smooth Takagi decomposition of a n-by-n complex symmetric matrix valued function of one real parameter
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Updated 10 Mar 2024

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This function numerically computes the Takagi decomposition of a n-by-n complex symmetrix matrix valued function FUN of one real parameter. The singular values are arranged in decreasing order and assumed to be distinct and non-zero for all values of the parameter; It is possible to continue a subset of singular values and corresponding singular vectors.
A typical call of takagiCont is:
[Tout,Uout,Sout,flag]=takagiCont(f,tspan,params)
See the script example_ takagiCont.m for an example on how to use the function.
The command "help takagiCont" displays information and functionality of the software.
Please, cite the references below if you use this software.
Authors: Alessandra Papini and Alessandro Pugliese

Cite As

L. Dieci, A. Papini, A. Pugliese, "Takagi factorization of matrices depending on parameters and locating degeneracies of singular values". SIAM J. Matrix Anal. Appl., Vo. 43, Iss. 3, pp. 1148-1161, 2022. https://doi.org/10.1137/21M1456273

MATLAB Release Compatibility
Created with R2023b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
1.0.0