Wu               package:ResistorArray               R Documentation

_W_u'_s _r_e_s_i_s_t_a_n_c_e _m_a_t_r_i_x

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

     Returns a matrix 'M' with 'M[i,j]' is the resistance between nodes
     'i' and 'j'.

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

     Wu(L)

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

       L: Laplacian conductance matrix

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

     Evaluates Wu's resistance matrix, as per his theorem on page 6656.

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

     Returns a matrix of the same size as 'L', but whose elements are
     the effective resistance between the nodes.

_N_o_t_e:

     In the function, the sum is not from 2 to 'n' as in Wu, but from 1
     to n-1, because 'eigen()'  orders the eigenvalues from largest to
     smallest, not smallest to largest.

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

     Robin K. S. Hankin

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

     F. Y. Wu, 2004. "Theory of resistor networks: the two point
     resistance", Journal of Physics A, volume 37, pp6653-6673

_S_e_e _A_l_s_o:

     'resistance'

_E_x_a_m_p_l_e_s:

     Wu(cube())

     Wu(cube())[1,2] - resistance(cube(),1,2)

     Wu(series(1:7))  # observe how resistance between, say, nodes 2
                      # and 5 is 9 (=2+3+4)

