kmEstimate is used to fit kriging models. This function should not be called directly, due to the environments defined in km to avoid computing twice nxn matrices. Call km instead.
checkNames
(Package: DiceKriging) :
Consistency test between the column names of two matrices
Tests if the names of a second matrix are equal to a given matrix up to a permutation, and permute its columns accordingly. When the second one has no column names, the names of the first one are used in the same order.
Computes or updates some auxiliary variables used for kriging (see below). This is useful in several situations : when all parameters are known (as for one basic step in Bayesian analysis), or when some new data is added but one does not want to re-estimate the model coefficients. On the other hand, computeAuxVariables is not used during the estimation of covariance parameters, since this function requires to compute the trend coefficients at each optimization step; the alternative given by (Park, Baek, 2001) is preferred.
providing 
.