Decomposes a 3 mode tensor T into the product of The left singular value tensor object
and a right singular value tensor object so that T = QR.

A set of tools for basic tensor operators. A tensor in the context of data analysis in a multidimensional array. The tools in this package rely on using any discrete transformation (e.g. Fast Fourier Transform (FFT)). Standard tools included are the Eigenvalue decomposition of a tensor, the QR decomposition and LU decomposition. Other functionality includes the inverse of a tensor and the transpose of a symmetric tensor. Functionality in the package is outlined in Kernfeld, E., Kilmer, M., and Aeron, S. (2015) <doi:10.1016/j.laa.2015.07.021>.

Kyle A Caudle

TensorTools

Multilinear Algebra

Kyle Caudle

Randy Hoover

Jackson Cates

Evertt Sandbo

tQR function

<dl><dt>tnsr, </dt>
<dd>a 3-mode tensor S3 class object</dd>
<dt>tform, </dt>
<dd>Any discrete transform.
fft: Fast Fourier Transorm
dwt: Discrete Wavelet Transform (Haar Wavelet)
dct: Discrete Cosine transform
dst: Discrete Sine transform
dht: Discrete Hadley transform
dwht: Discrete Walsh-Hadamard transform</dd></dl>

Arguments

Kyle Caudle
Randy Hoover
Jackson Cates
Everett Sandbo

Author

QR decomposition of a 3D tensor — tQR

<dl>

<dt>tnsr, </dt>
<dd>a 3-mode tensor S3 class object</dd>


<dt>tform, </dt>
<dd>Any discrete transform.
fft: Fast Fourier Transorm
dwt: Discrete Wavelet Transform (Haar Wavelet)
dct: Discrete Cosine transform
dst: Discrete Sine transform
dht: Discrete Hadley transform
dwht: Discrete Walsh-Hadamard transform</dd>

</dl>

tQR: QR decomposition of a 3D tensor

Description

Usage

Value

Arguments

Author

References

Examples