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GeneralRe: subroutine to solve linear algebraic equations - fewer unknowns than equations Pin
Dr.Walt Fair, PE8-Jul-10 18:09
professionalDr.Walt Fair, PE8-Jul-10 18:09 
GeneralRe: subroutine to solve linear algebraic equations - fewer unknowns than equations Pin
CPallini8-Jul-10 21:22
mveCPallini8-Jul-10 21:22 
GeneralRe: subroutine to solve linear algebraic equations - fewer unknowns than equations Pin
Tim Craig8-Jul-10 21:38
Tim Craig8-Jul-10 21:38 
GeneralRe: subroutine to solve linear algebraic equations - fewer unknowns than equations Pin
CPallini8-Jul-10 22:19
mveCPallini8-Jul-10 22:19 
GeneralRe: subroutine to solve linear algebraic equations - fewer unknowns than equations Pin
Dr.Walt Fair, PE9-Jul-10 4:06
professionalDr.Walt Fair, PE9-Jul-10 4:06 
GeneralRe: subroutine to solve linear algebraic equations - fewer unknowns than equations Pin
CPallini9-Jul-10 4:22
mveCPallini9-Jul-10 4:22 
GeneralRe: subroutine to solve linear algebraic equations - fewer unknowns than equations Pin
Emilio Garavaglia10-Jul-10 4:29
Emilio Garavaglia10-Jul-10 4:29 
GeneralRe: subroutine to solve linear algebraic equations - fewer unknowns than equations [modified] Pin
CPallini10-Jul-10 5:05
mveCPallini10-Jul-10 5:05 
emilio_grv wrote:
Yes, but you can solve


x + y = 2 + ax - y = 0 + bx + 3y = 4 + c
to find the x and y that makes a2+b2+c2 the minimum possible.

That is just another 'new' different problem.
And what would be the 'practical' usefulness of the solution of such new problem is questionable. Consider, for instance, if the original system is, by remote chance:
x = 1000
x = 0


emilio_grv wrote:
Note also (not directly related to the post in answer) that saying that one particular equation is redundant is improper: all equation have the same dignity. Hence "find which equation to exclude" is a mis-posed problem. I can exclude another and get the same solution.

It was a quick way to say: "when you have two linearly dependent equations, you may esclude one of them to find the solution", of course all the equations have the same dignity in the system, anyway you can arbitrarly choose one to solve the system.
Smile | :)
If the Lord God Almighty had consulted me before embarking upon the Creation, I would have recommended something simpler.
-- Alfonso the Wise, 13th Century King of Castile.

This is going on my arrogant assumptions. You may have a superb reason why I'm completely wrong.
-- Iain Clarke

[My articles]
modified on Saturday, July 10, 2010 11:21 AM

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