Gaussian elimination: Difference between revisions

Content added Content deleted
(Ada version)
m (reorder)
Line 3,995: Line 3,995:
-0.490989719584656871
-0.490989719584656871
0.0657606961752318825
0.0657606961752318825
</pre>

=={{header|Sidef}}==
Uses the '''rref(A)''' function from [https://rosettacode.org/wiki/Reduced_row_echelon_form#Sidef Reduced row echelon form].
{{trans|Perl 6}}
<lang ruby>func gauss_jordan_solve (a, b) {

var A = gather {
^b -> each {|i| take(a[i] + b[i]) }
}

rref(A).map{ .last }
}

var a = [
[ 1.00, 0.00, 0.00, 0.00, 0.00, 0.00 ],
[ 1.00, 0.63, 0.39, 0.25, 0.16, 0.10 ],
[ 1.00, 1.26, 1.58, 1.98, 2.49, 3.13 ],
[ 1.00, 1.88, 3.55, 6.70, 12.62, 23.80 ],
[ 1.00, 2.51, 6.32, 15.88, 39.90, 100.28 ],
[ 1.00, 3.14, 9.87, 31.01, 97.41, 306.02 ],
]

var b = [ -0.01, 0.61, 0.91, 0.99, 0.60, 0.02 ]

var G = gauss_jordan_solve(a, b)
say G.map { "%27s" % .as_rat }.join("\n")</lang>
{{out}}
<pre>
-1/100
655870882787/409205648497
-660131804286/409205648497
509663229635/409205648497
-200915766608/409205648497
26909648324/409205648497
</pre>
</pre>


Line 4,117: Line 4,082:
}
}
</lang>
</lang>

=={{header|Sidef}}==
Uses the '''rref(A)''' function from [https://rosettacode.org/wiki/Reduced_row_echelon_form#Sidef Reduced row echelon form].
{{trans|Perl 6}}
<lang ruby>func gauss_jordan_solve (a, b) {

var A = gather {
^b -> each {|i| take(a[i] + b[i]) }
}

rref(A).map{ .last }
}

var a = [
[ 1.00, 0.00, 0.00, 0.00, 0.00, 0.00 ],
[ 1.00, 0.63, 0.39, 0.25, 0.16, 0.10 ],
[ 1.00, 1.26, 1.58, 1.98, 2.49, 3.13 ],
[ 1.00, 1.88, 3.55, 6.70, 12.62, 23.80 ],
[ 1.00, 2.51, 6.32, 15.88, 39.90, 100.28 ],
[ 1.00, 3.14, 9.87, 31.01, 97.41, 306.02 ],
]

var b = [ -0.01, 0.61, 0.91, 0.99, 0.60, 0.02 ]

var G = gauss_jordan_solve(a, b)
say G.map { "%27s" % .as_rat }.join("\n")</lang>
{{out}}
<pre>
-1/100
655870882787/409205648497
-660131804286/409205648497
509663229635/409205648497
-200915766608/409205648497
26909648324/409205648497
</pre>


=={{header|Stata}}==
=={{header|Stata}}==