tLUdct {TensorTools} | R Documentation |
LU decomposition of a 3D tensor using the discrete cosine transform
Description
LU decomposition of a 3D tensor using the discrete cosine transform
Usage
tLUdct(tnsr)
Arguments
tnsr |
a 3-mode S3 tensor class object |
Value
L, The lower triangular S3 tensor object
U, The upper triangular S3 tensor object
Author(s)
Kyle Caudle
Randy Hoover
Jackson Cates
Everett Sandbo
References
M. E. Kilmer, C. D. Martin, and L. Perrone, “A third-order generalization of the matrix svd as a product of third-order tensors,” Tufts University, Department of Computer Science, Tech. Rep. TR-2008-4, 2008
K. Braman, "Third-order tensors as linear operators on a space of matrices", Linear Algebra and its Applications, vol. 433, no. 7, pp. 1241-1253, 2010.
Examples
T <- t_rand(modes=c(2,2,4))
tLUdct(T)
[Package TensorTools version 1.0.0 Index]