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Topic: Linear algebra equation solver?
Replies: 3   Last Post: Nov 25, 2012 5:15 AM

 Messages: [ Previous | Next ]
 Victor Eijkhout Posts: 2 Registered: 5/17/12
Re: Linear algebra equation solver?
Posted: May 19, 2012 4:24 PM

On Saturday, May 19, 2012 1:05:07 PM UTC+2, clicl...@freenet.de wrote:
> Victor Eijkhout schrieb:

> > I have two equations, z = y + ax (a scalar, x,y,z vector) & p^t z = 0
> > (p another vector), assume no two vectors are orthogonal. Vectors
> > x,y,p are known, vector z and scalar a are unknown.
> >
> > The solution of this is z = y+az where a = -(p^ta)^{-1}(p^ty)

>
> Actually it is z = y + a x where a = -(p^t y) / (p^t x).

Oops. Yes.

> but the general solution for vectors of arbitrary dimension?

Indeed.

> Axiom or
> FriCAS may be the best candidate then.
>
> Martin.

Will take a look. Thanks for the pointers.

Victor.

Date Subject Author
5/17/12 Victor Eijkhout
5/19/12 clicliclic@freenet.de
5/19/12 Victor Eijkhout
11/25/12 auditor