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Multidimensional Newton-Raphson method: Difference between revisions
Multidimensional Newton-Raphson method (view source)
Revision as of 16:21, 9 April 2018
, 6 years ago→{{header|zkl}}: Added Kotlin example
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<pre>
1.00,1.00
</pre>
Another example:
<lang zkl>v:=GSL.VectorFromData(1.0, 1.0, 0.0); // initial guess
fxyzs:=T(
fcn(x,y,z){ x*x*9 + y*y*36 + z*z*4 - 36 }, // 9x^2 + 36y^2 + 4z^2 - 36 = 0
fcn(x,y,z){ x*x - y*y*2 - z*20 }, // x^2 - 2y^2 - 20z = 0
fcn(x,y,z){ x*x - y*y + z*z }); // x^2 - y^2 + z^2 = 0
(v=GSL.multiroot_fsolver(fxyzs,v)).format(12,8).println();
xyz:=v.toList();
fxyzs.apply('wrap(f){ f(xyz.xplode()) }).println(); // deltas from zero</lang>
{{out}}
<pre>
0.89362824, 0.89452701, -0.04008929
L(6.00672e-08,1.0472e-08,9.84017e-09)
</pre>
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