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freqdom (version 2.0.2)

freqdom.eigen: Eigendecompose a frequency domain operator at each frequency

Description

Gives the eigendecomposition of objects of class freqdom.

Usage

freqdom.eigen(F)

Value

Returns a list. The list is containing the following components:

  • vectors \(\quad\) an array containing \(d\) matrices. The \(i\)-th matrix contains in its \(k\)-th row the conjugate transpose eigenvector belonging to the \(k\)-th largest eigenvalue of F\$operator[,,i].

  • values \(\quad\) matrix containing in \(k\)-th column the eigenvalues of F\$operator[,,k].

  • freq \(\quad\) vector of frequencies defining the object F.

Arguments

F

an object of class freqdom. The matrices F\$operator[,,k] are required to be square matrices, say \(d \times d\).

Details

This function makes an eigendecomposition for each of the matrices F\$operator[,,k].

See Also

freqdom