Elliptic Integrals and Jacobi's Zeta Function.

Elliptic function evaluation using AGM algorithm.

Description

Elliptici uses the method of the arithmetic - geometric mean described determine the value of the Incomplete Elliptic Integrals of the First, Second Kind and Jacobi's Zeta Function. The formulas implemented are F(u,m) = int(1/sqrt(1-m*sin(t)^2),
t=0..u); E(u,m) = int(sqrt(1-m*sin(t)^2), t=0..u); Z(u,m) = E(u,m) - E(m)/K(m)*F(u,m)

The routine Elliptici works with multidimentional arrays and any range of u.

Project home: http://code.google.com/p/elliptic/

• MATLAB release: MATLAB 7.0.1 (R14SP1)

[Girish Bajaj]

 

[divye bokdia]

amazing method helped me a lot in my project execution to a finer detail..

[Girish Bajaj]

Great method.....helped me tremendously me too in my project

[manuj dhariwal]

ok type nothing great

[divye bokdia]

its ok type but still more can be done..u can consult PROF. DIVYE BOKDIA from MIT...

[manuj dhariwal]

the blend option in matlab is sthg i want adobe to copy

[manuj dhariwal]

seriously speaking i have never used thid producy

[Juan Pablo Fernández]

Most useful and very well written.

[Jon Coker]

Excellent code, full featured and works well. Thanks!

[Dr R P GUPTA]

VERY POWERFUL AND USER FRIENDLY

[Anders]

Nice implementation of incomplete elliptic integrals with the Landen method BUT the modulus m should not be limited to only {0,1}. The range of validity seems to be {-inf,1}.

[Moiseev Igor]

Please check for the community complete version at http://code.google.com/p/elliptic/wiki/elliptic