the dyadic product of tensors or vectors, their outer product; MATLAB’s dyad

Syntax

T = dyad(T1, T2)

The outer product, of the ranks added.

T = dyad(v, 3)

The third dyadic power v x v x v.

T = dyad(v, n=3)

The same.

T = dyad(T1, T2, 2)

The second dyadic power of the outer product.

Description

A vector counts as a tensor of rank one; a single argument is returned as a tensor. The power is the second argument or the keyword n; after a second factor it raises their outer product to that power.

Input

`a`	tensor or vector3d, T1 above
`b`	tensor or vector3d, T2 above, or an integer power

Keywords

keyword	default	description
`n`	`None`	the dyadic power, a positive integer

Output

T tensor

Used on

IsotropicTheory

MATLAB’s dyad

source

Citing this page. This page is part of the documentation of MTEX, a free and open source MATLAB toolbox for analyzing and modeling crystallographic textures. It was written by The MTEX Developers and is published at https://mtex-toolbox.github.io/dyad_py.html. If you use MTEX, or reuse text or figures from this page, in your research, please cite

F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63

BibTeX

@article{bachmann2010mtex,
  author  = {F. Bachmann and R. Hielscher and H. Schaeben},
  title   = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
  journal = {Solid State Phenomena},
  volume  = {160},
  pages   = {63-68},
  year    = {2010},
  doi     = {10.4028/www.scientific.net/SSP.160.63},
  url     = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}

Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.

dyad