Singular value decomposition: Difference between revisions

=={{header|Nim}}==

{{libheader|arraymancer}}

<syntaxhighlight lang="Nim">import arraymancer, arraymancer/linear_algebra

var m = [[3, 0], [4, 5]].toTensor().asType(float)

let (u, s, vt) = m.svd()

# With "$", floats are displayed with 6 digits.

# So we use "pretty" to display 8 digits.

echo "U:"

echo u.pretty(8), '\n'

echo "Σ:"

echo s.pretty(8), '\n'

echo "V:"

echo vt.transpose().pretty(8)

</syntaxhighlight>

{{out}}

<pre>U:

Tensor[system.float] of shape "[2, 2]" on backend "Cpu"

|-0.31622777 -0.94868330|

|-0.94868330 0.31622777|

Σ:

Tensor[system.float] of shape "[2]" on backend "Cpu"

6.7082039 2.2360680

V:

Tensor[system.float] of shape "[2, 2]" on backend "Cpu"

|-0.70710678 -0.70710678|

|-0.70710678 0.70710678|

</pre>