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## Re: solving equation system

**From**: |
Przemek Klosowski |

**Subject**: |
Re: solving equation system |

**Date**: |
Tue, 19 Apr 2005 14:46:48 -0400 (EDT) |

I hope that someone can point out a shorter way to define the coefficient
matrix since all its rows are of the form [1,x,x^2,x^3,x^4].
You are right---there's a shorter way. That's a form of VanDerMonde matrix:
c =
124.500
111.000
88.900
75.500
63.000
octave:67> vander (c)
ans =
2.4026e+08 1.9298e+06 1.5500e+04 1.2450e+02 1.0000e+00
1.5181e+08 1.3676e+06 1.2321e+04 1.1100e+02 1.0000e+00
6.2461e+07 7.0260e+05 7.9032e+03 8.8900e+01 1.0000e+00
3.2493e+07 4.3037e+05 5.7002e+03 7.5500e+01 1.0000e+00
1.5753e+07 2.5005e+05 3.9690e+03 6.3000e+01 1.0000e+00
vander (c)\b does indeed give the same result as the full matrix
-1.0222e-05
3.5786e-03
-5.0372e-01
2.9366e+01
-2.6907e+02
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