LU decomposition: Difference between revisions
Content added Content deleted
Thundergnat (talk | contribs) m (→{{header|Perl 6}}: minor tweaks, remove some superstitious parentheses) |
Thundergnat (talk | contribs) m (→{{header|Perl 6}}: Named matrices more appropriately) |
||
| Line 1,868: | Line 1,868: | ||
) |
) |
||
-> @test { |
-> @test { |
||
say-it ' |
say-it 'A Matrix', @test; |
||
say-it( $_[0], @($_[1]) ) for 'P Matrix', ' |
say-it( $_[0], @($_[1]) ) for 'P Matrix', 'AP Matrix', 'L Matrix', 'U Matrix' Z, lu @test; |
||
} |
} |
||
| Line 1,876: | Line 1,876: | ||
my $n = +@a; |
my $n = +@a; |
||
my @P = pivotize @a; |
my @P = pivotize @a; |
||
my @ |
my @AP = mmult @P, @a; |
||
my @L = matrix-ident $n; |
my @L = matrix-ident $n; |
||
my @U = matrix-zero $n; |
my @U = matrix-zero $n; |
||
| Line 1,882: | Line 1,882: | ||
for ^$n -> $j { |
for ^$n -> $j { |
||
if $j >= $i { |
if $j >= $i { |
||
@U[$i][$j] = @ |
@U[$i][$j] = @AP[$i][$j] - [+] map { @U[$_][$j] * @L[$i][$_] }, ^$i |
||
} else { |
} else { |
||
@L[$i][$j] = (@ |
@L[$i][$j] = (@AP[$i][$j] - [+] map { @U[$_][$j] * @L[$i][$_] }, ^$j) / @U[$j][$j]; |
||
} |
} |
||
} |
} |
||
} |
} |
||
return @P, @ |
return @P, @AP, @L, @U; |
||
} |
} |
||
| Line 1,936: | Line 1,936: | ||
}</lang> |
}</lang> |
||
{{out}} |
{{out}} |
||
<pre> |
<pre>A Matrix |
||
1 3 5 |
1 3 5 |
||
2 4 7 |
2 4 7 |
||
| Line 1,946: | Line 1,946: | ||
0 0 1 |
0 0 1 |
||
AP Matrix |
|||
2 4 7 |
2 4 7 |
||
1 3 5 |
1 3 5 |
||
| Line 1,961: | Line 1,961: | ||
0 0 -2 |
0 0 -2 |
||
A Matrix |
|||
11 9 24 2 |
11 9 24 2 |
||
1 5 2 6 |
1 5 2 6 |
||
| Line 1,973: | Line 1,973: | ||
0 0 0 1 |
0 0 0 1 |
||
AP Matrix |
|||
11 9 24 2 |
11 9 24 2 |
||
3 17 18 1 |
3 17 18 1 |
||