Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Let's have two hyperbolas given by equations:
$$\mathbf{r}^T\cdot \mathbf A_1\cdot\mathbf r+\mathbf b_1^T\cdot\mathbf r+c_1=0$$ $$\mathbf{r}^T\cdot \mathbf A_2\cdot\mathbf r+\mathbf b_2^T\cdot\mathbf r+c_2=0$$ where A is 2 x 2 matrix, r and b are 2 x 1 vectors, and c is scalar.

How can I find intersections of those two hyperbolas using Matlab?
I know, that there is non-linear equation to solve, but I have no idea which function to use and how. I will be very grateful for any kind of advice.

share|improve this question
    
Since you're saying "hyperbolas", we can assume that $\mathbf r$ is a 2-vector? –  J. M. Feb 1 '12 at 0:12
    
Yes, you can. I hope its correct now. –  Crowley Feb 1 '12 at 0:21

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.