Re: question RE: difference equations
- To: mathgroup at smc.vnet.net
- Subject: [mg26086] Re: [mg26066] question RE: difference equations
- From: Ken Levasseur <Kenneth_Levasseur at uml.edu>
- Date: Tue, 28 Nov 2000 01:55:32 -0500 (EST)
- References: <200011220655.BAA19960@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
John: Since the system you've described is linear, I'd turn it into a single matrix equation. Then you have access to all of the matrix algebra functions to analyze the system. For example, the eigenvalues of A in the equation X[t]=A X[t-1] tell you a lot about the stability of the system. Ken Levasseur UMass Lowell John McArthur wrote: > I am a new Mathematica user so apologize for the basic nature of my > question: > > I want to set up a system of simultaneous difference equations but am > having trouble with the syntax. Essentially I would like to map the growth > of a system as follows: > > y1(t)=y1(t-1) + a*y2(t-1) + b*y3(t-1)... + xx*yn(t-1) > y2(t)=y2(t-1) + c*y1(t-1) + d*y3(t-1)... + yy*yn(t-1) > ... > yn(t)=yn(t-1) + x*y1(t-1) + z*y2(t-1)... + zz*y[n-1](t-1) > > I know how to set up a univariate recursive equation, but am not clear on > how to set up a multivariate form. My most common error message is one of > "recursion limit reached." Any suggestions (and possibly advice > on the simplest way to set up a system like the one above) would be > greatly appreciated. > > Many thanks, > John McArthur
- References:
- question RE: difference equations
- From: John McArthur <john.mcarthur@brasenose.oxford.ac.uk>
- question RE: difference equations