the minimum of a function on SO(3) or the sphere, the value and the position, numLocal local minima; with a second function or a number the pointwise minimum; with axis= along an axis of a list; MATLAB’s min

Syntax

value, ori = min(odf)

The global minimum and where it is.

values, oris = min(odf, numLocal=3)

Three local minima.

f = min(odf, 0)

The pointwise minimum with a number.

Description

The minimum is the maximum of -f, the keywords resolution, accuracy and startingNodes as for max.

Input

f SO3Fun, S2Fun or S1Fun; a second function or a number for the pointwise minimum

Keywords

keyword default description
numLocal 1 the number of local minima returned

Output

value the smallest value, or numLocal values in ascending order
ori the position: orientation, vector3d, or the angle on the circle

See also

max

MATLAB’s S2Fun.min

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/S2Fun.min_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.