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

• To: mathgroup at smc.vnet.net
• Subject: [mg31262] Re: [mg31247] What is the best approach to solving the following set ofequations ?
• From: Tomas Garza <tgarza01 at prodigy.net.mx>
• Date: Tue, 23 Oct 2001 21:59:08 -0400 (EDT)
• References: <200110230853.EAA27164@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```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
>