LMC Covariance

LMC_covariance<covariance_matrix>

Cokriging of variable Z₁, accounting for secondary variables Z₂,..., Z_Nv, requires the covariances ($\bf u_{1}^{}$,$\bf u_{2}^{}$) $\longmapsto$ C_{i, j}($\bf u_{1}^{}$,$\bf u_{2}^{}$).

LMC cokriging requires the knowledge of the covariances between any two locations $\bf u_{1}^{}$, $\bf u_{2}^{}$.

Where Defined

In header file <kriging.h>

Template Parameters

covariance_matrix

is an object that represents a matrix. Expression mat(i,j) must be valid and return element (i,j) of the matrix (i and j are greater than or equal to 1), and the matrix must have a copy constructor. The elements of the covariance matrix must be models of Covariance

Model of

Covariance Set

Type Requirements

The elements of the matrix must be models of Covariance

Members

• LMC_covariance::LMC_covariance(const covariance_matrix& A,
                                 unsigned int size)
  
  Constructs a LMC_covariance. Matrix A contains pointers to the covariance functions ($\bf u_{1}^{}$,$\bf u_{2}^{}$) $\longmapsto$ C_{i, j}($\bf u_{1}^{}$,$\bf u_{2}^{}$). size is the size of the covariance matrix. It is equal to the number of variables N_v.

• double LMC_covariance::operator()(unsigned int i, unsigned int j,
                                    const location& u1, const location& u2)
  
  Function call operator. Returns the covariance C_{i, j}($\bf u_{1}^{}$,$\bf u_{2}^{}$).