Zolotarev Polynomial Related Routines

Release:0.0.0
Date:July 03, 2011

Zolotarev polynomial related routines.

References

z_str2num

Zolotarev.z_str2num(s)
Convert a string to either int or float.

z_theta

Zolotarev.z_theta(u, m)
Jacobi theta function (eq 16.31.1, [Abramowitz]).

z_eta

Zolotarev.z_eta(u, m)
Jacobi eta function (eq 16.31.3, [Abramowitz]).

z_am

Zolotarev.z_am(u, m)
Jacobi amplitude function (eq 16.1.5, [Abramowitz]).

z_zn

Zolotarev.z_zn(u, m)
Jacobi Zeta (zn(u,m)) function (eq 16.26.12, [Abramowitz]).

z_x123_frm_m

Zolotarev.z_x123_frm_m(N, m)
Function to get x1, x2 and x3 (eq 3, 5 and 6, [McNamara93]).

z_Zolotarev

Zolotarev.z_Zolotarev(N, x, m)
Function to evaluate the Zolotarev polynomial (eq 1, [McNamara93]).

z_Zolotarev_x2

Zolotarev.z_Zolotarev_x2(N, m)
This function evaluates the Zolotarev polynomial at x2 for given ‘N’ and ‘m’.

z_m_frm_R

Zolotarev.z_m_frm_R(N, R, a=0.10000000000000001, b=0.99999999999989997)
Function to obtain the parameter ‘m’ for a given ‘SLR’ and order of the polynomial ‘N’.

z_Zolotarev_poly

Zolotarev.z_Zolotarev_poly(N, m, interp_num=100, full=False)
Function to evaluate the polynomial coefficients of the Zolotarev polynomial.

Zolotarev2

Zolotarev.Zolotarev2(p, q, m)
Another way to generate Zolotarev polynomial. It is not done yet.

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