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TensorTools (version 1.0.0)

tQRdwht: QR decomposition of a 3D tensor using the discrete Walsh Hadley transform

Description

QR decomposition of a 3D tensor using the discrete Walsh Hadley transform

Usage

tQRdwht(tnsr)

Value

Q, The left singular value S3 tensor class object (\(n \times n \times k\))

R, The right singular value Se tensor class object (\(n \times n \times k\))

Arguments

tnsr,

a 3-mode S3 tensor class object

Author

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

Run this code
T <- t_rand(modes=c(2,2,4))
tQRdwht(T)

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