Smooth eigendecomposition of real symmetric matrix function

Numerical computation of a smooth eigendecomposition of an n-by-n real symmetric matrix valued function of one real parameter
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更新 2025/4/30

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This function numerically computes the smooth eigendecomposition of an n-by-n real symmetric matrix-valued function FUN of one real parameter. The eigenvector matrices are orthogonal; the eigenvalues are real, arranged in decreasing order, and are assumed to be distinct for all values of the parameter. It is possible to continue a subset of the eigenvalues and eigenvectors.
A typical call to realSymmEigCont is:
[Tout,Uout,Dout,flag]=realSymmEigCont(FUN,tspan,params)
See the script example_realSymmEigCont.m for an example of how to use the function.
The command help realSymmEigCont displays information and functionality of the software.
Please cite the references below if you use this software.
Authors: Alessandra Papini and Alessandro Pugliese

引用

L. Dieci, A. Pugliese, "Singular values of two-parameter matrices: an algorithm to accurately find their intersections", Mathematics and Computers in Simulation, Vol. 79, Iss. 4, pp. 1255-1269, 2008. https://doi.org/10.1016/j.matcom.2008.03.012

L. Dieci, A. Papini, A. Pugliese, "Coalescing points for eigenvalues of banded matrices depending on parameters with application to banded random matrix functions", Numer. Algorithms, Vol. 80, pp. 1241-1266, 2019. https://doi.org/10.1007/s11075-018-0525-z

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作成: R2023b
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