Bisect                 package:Icens                 R Documentation

_A_n _i_m_p_l_e_m_e_n_t_a_t_i_o_n _o_f _t_h_e _b_i_s_e_c_t_i_o_n _a_l_g_o_r_i_t_h_m _f_o_r _r_o_o_t _f_i_n_d_i_n_g.

_D_e_s_c_r_i_p_t_i_o_n:

     Most of the optimizations in _Icens_ have a one dimensional
     root-finding component. Since the quantities involved are
     generally restricted to a subset of [0,1] we use bisection to find
     the roots.

_U_s_a_g_e:

     Bisect(tA, pvec, ndir, Meps, tolbis=1e-07)

_A_r_g_u_m_e_n_t_s:

      tA: The transpose of the clique matrix. 

    pvec: The current estimate of the probability vector. 

    ndir: The direction to explore. 

    Meps: Machine epsilon, elements of 'pvec' that are less than this
          are assumed to be zero. 

  tolbis: The tolerance used to determine if the algorithm has
          converged.  

_D_e_t_a_i_l_s:

     We search from 'pvec' in the direction 'ndir' to obtain the new
     value of 'pvec' that maximizes the likelihood.

_V_a_l_u_e:

     The new estimate of 'pvec'.

_A_u_t_h_o_r(_s):

     Alain Vandal and Robert Gentleman.

_R_e_f_e_r_e_n_c_e_s:

     Any book on optimization.

