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#1 2005-12-21 02:56:47

dublet
Member
Registered: 2005-12-16
Posts: 16

Recurrent relation




Characteristic equation:






Check:

hmm

Okay, I'm doing something wrong here. hmm

Simple way won't work, using ABC formula:





So the worked out CE is:


Anyone care to calculate c1 and c2? big_smile







Is it getting ugly yet? hmm

Using the approximations:





Help?

Last edited by dublet (2005-12-21 07:08:12)

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#2 2005-12-21 09:18:57

God
Member
Registered: 2005-08-25
Posts: 59

Re: Recurrent relation

I really didn't get what you were trying to do with that recursive equation sad or else I'd help

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#3 2005-12-21 09:30:24

dublet
Member
Registered: 2005-12-16
Posts: 16

Re: Recurrent relation

God wrote:

I really didn't get what you were trying to do with that recursive equation sad or else I'd help

Solve it?

It's a second order linear homogemous recurrent relation with constant coefficients.

I already found a general solution to them (the CE), but it's missing two constants, which can be filled in. The bottom half is me attempting to do that, and failing. hmm

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#4 2006-01-01 11:48:08

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,908

Re: Recurrent relation

I couldn't understand all of this but I can help you with the last equation:
c1≈2.5


IPBLE:  Increasing Performance By Lowering Expectations.

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#5 2006-01-02 23:00:06

dublet
Member
Registered: 2005-12-16
Posts: 16

Re: Recurrent relation

Bit late, but thanks anyway. wink

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#6 2006-01-02 23:06:03

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,908

Re: Recurrent relation

smile smile smile smile smile!!!


IPBLE:  Increasing Performance By Lowering Expectations.

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