Chapter 7: Nonlinear Equations

Usage Notes

Zeros of a Polynomial

A polynomial function of degree n can be expressed as follows:

p(z) = anzn + an-1 zn-1 + … + a1z + a0

where an ¹ 0. The function imsl_f_zeros_poly finds zeros of a polynomial with real coefficients using the Jenkins-Traub method.

Zeros of a Function                             

The function imsl_f_zeros_fcn uses Müller’s method to find the real zeros of a real-valued function.

Root of System of Equations

A system of equations can be stated as follows:

fi(x) = 0,  for  i = 1, 2, …, n

where x Î Rn, and fi : Rn ® R.The function imsl_f_zeros_sys_eqn uses a modified hybrid method due to M.J.D. Powell to find the zero of a system of nonlinear equations.


Visual Numerics, Inc.
Visual Numerics - Developers of IMSL and PV-WAVE
http://www.vni.com/
PHONE: 713.784.3131
FAX:713.781.9260