MathGroup Archive 2001

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: What is the best approach to solving the following set ofequations ?


To start with, I guess you have a misprint in your last equation. Instead of
(C2*L3G4), shouldn't it  read (C2*L4G4)?   My first impression is that the
solution (if it exists) is unique. Four linear equations in four unknowns?
The additional constraints are either satisfied by the solution, or they
aren't, according to the values of your constants. I send you a notebook
(not to the MathGroup, for attachments are not allowed here) with the
details.

Tomas Garza
Mexico City
----- Original Message -----
From: "Raul Balbuena" <rbg_gis at yahoo.com>
To: mathgroup at smc.vnet.net
Subject: [mg31262] [mg31247] What is the best approach to solving the following set
ofequations ?


> What is the best approach to solving the following set of equations ?
>
> Solve for Ci, meaning (C1, C2, C3, C4)
>
> V1   =   (C1*R1G1)   +   (C2*L1G1)  +   (C3*T1G1)  +   (C4*G1)
> V2   =   (C1*R2G2)   +   (C2*L2G2)  +   (C3*T2G2)  +   (C4*G2)
> V3   =   (C1*R3G3)   +   (C2*L3G4)  +   (C3*T3G3)  +   (C4*G3)
> V4   =   (C1*R4G4)   +   (C2*L3G4)  +   (C3*T4G4)  +   (C4*G4)
>
> Where Ri, Li, Ti, Gi are known values:
>
> Subject to:
>
> SUM  (C1 * RiGi)  =    5 * SUM  (C2 * LiGi)
>  (i=1,4)     (i=1,4)
>
> SUM  (C1 * RiGi)  =   10 * SUM  (C3 * TiGi)
>  (i=1,4)               (i=1,4)
>
> Gi is always Greater Than 1 and Less Than 1.6
>
> Thanks in advance,
>
> Raul Balbuena
> Rbg_gis at yahoo.com
>



  • Prev by Date: Re: How to set font size?
  • Next by Date: (-8)^(1/3)
  • Previous by thread: What is the best approach to solving the following set of equations ?
  • Next by thread: Mathematica & MS Word