.. highlightlang:: us

.. index:: svd

.. _svd:

svd
===

.. us.tag  svd GERMAN  math-lin-alg New5140

Singular value decomposition.

.. function::  s = svd(m)
    <u, s, v> = svd(m)

.. us.example

**Beispiel**

::

   * m = [1,3,5,7;2,4,6,8]'
   * m
       1.0000     2.0000 
       3.0000     4.0000 
       5.0000     6.0000 
       7.0000     8.0000 
   * svd(m)
      14.2691     0.6268 
   * <u,s,v> = svd(m)
   * u
      -0.1525    -0.8226    -0.3945    -0.3800 
      -0.3499    -0.4214     0.2428     0.8007 
      -0.5474    -0.0201     0.6979    -0.4614 
      -0.7448     0.3812    -0.5462     0.0407 
   * s
      14.2691     0.0000 
       0.0000     0.6268 
       0.0000     0.0000 
       0.0000     0.0000 
   * v
      -0.6414    -0.7672 
       0.7672    -0.6414 
   * u*s*v
       1.0000     2.0000 
       3.0000     4.0000 
       5.0000     6.0000 
       7.0000     8.0000 

.. us.history

**History**

.. list-table::
   :header-rows: 1

   * - Version
     - Beschreibung
   * - 5.14.0
     - Neu.

.. seealso::
   :ref:`uberblick-mathematik`,
   :ref:`det`,
   :ref:`inv`

:sub:`id-1405432`