Drexel dragonThe Math ForumDonate to the Math Forum


Math Forum
 Ask Dr. Math
 Discussions
 Internet Newsletter
 MathTools
 Problems of the Week
 Teacher2Teacher
 Teacher Exchange
 Workshops

Search All of the Math Forum:
Browse our Internet Mathematics Library

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.num-analysis.independent

Topic: non linear system, 6 unknowns, 6 equations (quadratic)
Replies: 5   Last Post: Jun 17, 2012 12:43 PM

Advanced Search
Reply to this Topic Reply to this Topic

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
sci.math

Posts: 2
Registered: 9/20/11
non linear system, 6 unknowns, 6 equations (quadratic)
Posted: Jun 13, 2012 6:52 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Hi,

x1, x2, x3 are fixed vectors of R^3
a=(a1,a2,a3) and t=(t1,t2,t3) are two unknown vectors of R^3
I is the 3,3 identity matrix

Solve this system (the matrices in parenthesis are symmetric: only 6 eqns.):
a1(x1*x1'-x1*t'-t*x1')+a2(x2*x2'-x2*t'-t*x2')+a3(x3*x3'-x3*t'-t*x3')=I

Before trying to solve that numerically,
any analytical result would be great
(e.g., is there at least one solution ?).

Thank you!

Michel.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2013. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.