tmult: Tensor multiplication

In TensorTools: Multilinear Algebra

Tensor multiplication

Description

Performs the tensor product of two 3D tensors using any discrete transform

Usage

tmult(x, y, tform)

Arguments

x	a 3-mode S3 tensor class object
y	a 3-mode S3 tensor class object
tform	Any discrete transform. fft: Fast Fourier Transform dwt: Discrete Wavelet Transform (Haar Wavelet) dct: Discrete Cosine transform dst: Discrete Sine transform dht: Discrete Hadley transform dwht: Discrete Walsh-Hadamard transform

Value

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

T1 <- t_rand(modes=c(2,2,4))
T2 <- t_rand(modes=c(2,3,4))
print(tmult(T1,T2,"dst"))

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