- #1
alexleong
- 2
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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.
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.
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.