rTensor2 (version 2.0.0)

tEIGdwt: Tensor Eigenvalue Decomposition Using the Discrete Wavelet Transform

Description

Performs a Eigenvalue decomposition of 3-mode tensor using the discrete Wavelet transform (Haar Wavelet).

Usage

tEIGdwt(tnsr)

Value

a Tensor-class object

If Eigenvalue decomposition is performed on a \(n\) x \(n\) x \(k\) tensor, the components in the returned value are:

P: A tensor of Eigenvectors (\(n\) x \(n\) x \(k\))

D: An diagonal tensor of Eigenvalues (\(n\) x \(n\) x \(k\))

Arguments

tnsr

: a 3-mode tensor

Author

Kyle Caudle

Randy Hoover

Jackson Cates

References

G. Strang and T. Nguyen, Wavelets and filter banks. SIAM, 1996.

A. Haar, “Zur theorie der orthogonalen funktionensysteme,” Mathema- tische annalen, vol. 69, no. 3, pp. 331–371, 1910.

Examples

T <- rand_tensor(modes=c(2,2,4))
print(tEIGdwt(T))