HLIBpro
2.9.1
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Matern covariance coefficient function. More...
#include <TMaternCovCoeffFn.hh>
Public Member Functions | |
TMaternCovCoeffFn (const real sigma, const real length, const real nu, const std::vector< T_point > &vertices) | |
virtual void | eval (const std::vector< idx_t > &rowidxs, const std::vector< idx_t > &colidxs, value_t *matrix) const |
virtual matform_t | matrix_format () const |
Public Member Functions inherited from TCoeffFn< real > | |
TCoeffFn () | |
default constructor | |
virtual | ~TCoeffFn () |
destructor | |
virtual bool | is_complex () const |
return true if function is complex valued | |
virtual void | eval (const TIndexSet &rowis, const TIndexSet &colis, value_t *matrix) const |
TMaternCovCoeffFn implements the Matern covarience kernel \f[ C(h, \theta ) := \frac{\sigma^2}{2^{\nu-1} \Gamma(\nu)} \left(\frac{h}{\ell}\right)^{\nu} K_{\nu}\left(\frac{h}{\ell}\right) \f] with \f$\theta=(\sigma,\ell,\nu)\f$, where \f$\sigma\f$ is the variance; \f$\nu > 0\f$ controls the smoothness of the random field, with larger values of corresponding to smoother fields; and \f$\ell\f$ is a spatial range parameter that measures how quickly the correlation of the random field decays with distance.
TMaternCovCoeffFn | ( | const real | sigma, |
const real | length, | ||
const real | nu, | ||
const std::vector< T_point > & | vertices | ||
) |
constructor
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virtual |
coefficient evaluation
Implements TCoeffFn< real >.
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inlinevirtual |
return format of matrix, e.g. symmetric or hermitian
Reimplemented from TCoeffFn< real >.