tLUdst: LU decomposition of a 3D tensor using the discrete sine...

In TensorTools: Multilinear Algebra

LU decomposition of a 3D tensor using the discrete sine transform

Description

LU decomposition of a 3D tensor using the discrete sine transform

Usage

tLUdst(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))
tLUdst(T)

TensorTools documentation built on Oct. 18, 2024, 1:07 a.m.