solve residue by matlab
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plz help me ....
how can I solve this problem by using residue by matlab :
25cos(πz)/((2z+1)^2 (z-2)^2 )
plz help me .. thank u .
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Star Strider
le 24 Mar 2015
If you have the Symbolic Math Toolbox, use the partfrac funciton:
syms z
f = 25*cos(pi*z)/((2*z+1)^2 * (z-2)^2 );
pf = partfrac(f, z)
produces:
pf =
cos(pi*z)/(z - 2)^2 - (4*cos(pi*z))/(5*(z - 2)) + (8*cos(pi*z))/(5*(2*z + 1)) + (4*cos(pi*z))/(2*z + 1)^2
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Star Strider
le 24 Mar 2015
According to the online documentation, partfrac was introduced in R2015a, so you wouldn’t have it in R2010a.
I posted the result as ‘pf’ in my Answer, so you have the result of the partfrac operation without having to have the function in your version.
Konstantinos Sofos
le 24 Mar 2015
I would suggest to use L'Hôpital's rule but you could use also the following Adaptive numerical limit (and residue) estimation
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Konstantinos Sofos
le 24 Mar 2015
Modifié(e) : Konstantinos Sofos
le 24 Mar 2015
Have a look in the link that i attached you before...
for your given example
f = @(z) 25*cos(pi*z)./((2*z+1).^2 .* (z-2).^2 )
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