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Thread Subject:
Calculating the largest EigenValue of Jacobian

Subject: Calculating the largest EigenValue of Jacobian

From: Hatoddyam Toto

Date: 10 May, 2013 19:38:14

Message: 1 of 2

Hi,
 I have a set of 132 Differential Equations. I want to calculate the largest eigenvalue of jacobian matrix at each point of solution. Is there any option to do that in Matlab? I use ode45 to solve the differential equations.

Thanks,
Hato

Subject: Calculating the largest EigenValue of Jacobian

From: Marc

Date: 15 May, 2013 03:31:12

Message: 2 of 2

Hatoddyam Toto <bhattacharyya.samit@gmail.com> wrote in message <fd563ad8-f669-448f-bec7-701e8059d54a@googlegroups.com>...
> Hi,
> I have a set of 132 Differential Equations. I want to calculate the largest eigenvalue of jacobian matrix at each point of solution. Is there any option to do that in Matlab? I use ode45 to solve the differential equations.
>
> Thanks,
> Hato

I am going to guess no.

I am also going to assume that you have no idea what your jacobian looks like and are letting ode45 numerically calculate it. Not judging, with 132 odes I would first try and let the solver do all the heavy lifting.

Since you know your solution of x's at each time step, could you use that to calculate the jacobian, since you have the function. Using something like "numjac"? My only question becomes which is the solution x in numjac (ie x or x - delta)?

Why do you want to know this info?

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