I’m dealing with a series of equations to find out the values of x1 and x2 so that the sum of S0+S1+...+Sn will have the minimum value.(adsbygoogle = window.adsbygoogle || []).push({});

The x1 and x2 values are limited to –1<x1<1 and –1<x2<1.

S0 = 0

S1 = a1 – [B(1 – x1) + a0* x1 – S0*x2]

S2 = a2 – [B(1 – x1) + a1* x1 – S1*x2]

S3 = a3 – [B(1 – x1) + a2* x1 – S2*x2]

S4 = a4 – [B(1 – x1) + a3* x1 – S3*x2]

S5 = a5 – [B(1 – x1) + a4* x1 – S4*x2]

...

Sn = an – [B(1 – x1) + an* x1 – Sn-1*x2]

n

T = [tex]\Sigma[/tex]Sn

n=1

Where

B is a constant.

T is the minimum sum of the equations.

Sn is the result of each equation.

a0, a1, a2...,an are the coefficients of the equation.

Hope you understand my question and thanks alot.

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# Find the minimum sum of a series of equations

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