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stk_rbf_exponential


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 STK_RBF_EXPONENTIAL computes the exponential correlation function

 CALL: K = stk_rbf_exponential (H)

    computes the value of the exponential correlation function at distance H:

        K = exp (- sqrt(2) |H|).

    Note that this correlation function is a special of the Matern correlation
    function (NU = 1/2).

 CALL: K = stk_rbf_exponential (H, DIFF)

    computes the derivative of the exponential correlation function with
    respect the H if DIFF is equal to 1, and simply returns the value of the
    exponential correlation function if DIFF <= 0  (in which case it is
    equivalent to K = stk_rbf_exponential (H)).

 ADMISSIBILITY

    The exponential correlation is a valid correlation function for all
    dimensions.

 REMARK

    The constant sqrt (2) is consistent with the definition of the Matern
    correlation function in STK.  Other references may use different constants.

 See also: stk_rbf_matern, stk_rbf_matern32, stk_rbf_matern52



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 STK_RBF_EXPONENTIAL computes the exponential correlation function



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stk_rbf_gauss


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 STK_RBF_GAUSS computes the Gaussian correlation function

 CALL: K = stk_rbf_gauss (H)

    computes the value of the Gaussian correlation function at distance H.

 CALL: K = stk_rbf_gauss (H, DIFF)

    computes the derivative  of the Gaussian correlation function  with respect
    to the distance H  if DIFF is equal to 1.  If DIFF is equal to -1,  this is
    the same as K = stk_rbf_gauss (H).

 NOTES:

  * This correlation function is also known as the "squared exponential" corre-
    lation function, or the "Gaussian RBF" (Radial Basis Function).

  * The Gaussian correlation function is  a valid correlation function  for all
    dimensions.

  * The Gaussian correlation function  is  the limit of  the Matern correlation
    function when the regularity parameters tends to infinity.

 See also: stk_rbf_matern, stk_rbf_matern52



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 STK_RBF_GAUSS computes the Gaussian correlation function



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stk_rbf_matern


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 STK_RBF_MATERN computes the Matern correlation function.

 CALL: K = stk_rbf_matern (NU, H)

    computes the value of the Matern correlation function of order NU at
    distance H. Note that the Matern correlation function is a valid
    correlation function for all dimensions.

 CALL: K = stk_rbf_matern (NU, H, DIFF)

    computes the derivative of the Matern correlation function of order NU, at
    distance H, with respect to the order NU if DIFF is equal to 1, or with
    respect the distance H if DIFF is equal to 2. (If DIFF is equal to -1,
    this is the same as K = stk_rbf_matern(NU, H).)

 See also: stk_rbf_matern32, stk_rbf_matern52



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 STK_RBF_MATERN computes the Matern correlation function.



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stk_rbf_matern32


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 STK_RBF_MATERN32 computes the Matern correlation function of order 3/2.

 CALL: K = stk_rbf_matern32 (H)

    computes the value of the Matern correlation function of order 3/2 at
    distance H. Note that the Matern correlation function is a valid
    correlation function for all dimensions.

 CALL: K = stk_rbf_matern32 (H, DIFF)

    computes the derivative of the Matern correlation function of order 3/2, at
    distance H, with respect the distance H if DIFF is equal to 1. (If DIFF is
    equal to -1, this is the same as K = stk_rbf_matern32(H).)

 See also: stk_rbf_matern, stk_rbf_matern52



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 STK_RBF_MATERN32 computes the Matern correlation function of order 3/2.



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stk_rbf_matern52


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 STK_RBF_MATERN52 computes the Matern correlation function of order 5/2.

 CALL: K = stk_rbf_matern52 (H)

    computes the value of the Matern correlation function of order 5/2 at
    distance H. Note that the Matern correlation function is a valid
    correlation function for all dimensions.

 CALL: K = stk_rbf_matern52 (H, DIFF)

    computes the derivative of the Matern correlation function of order 5/2, at
    distance H, with respect the distance H if DIFF is equal to 1. (If DIFF is
    equal to -1, this is the same as K = stk_rbf_matern52(H).)

 See also: stk_rbf_matern, stk_rbf_matern32



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 STK_RBF_MATERN52 computes the Matern correlation function of order 5/2.



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stk_rbf_spherical


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 STK_RBF_SPHERICAL computes the spherical correlation function

 CALL: K = stk_rbf_spherical (H)

    computes the value of the spherical correlation function at distance H:

            /
            |  1 - 3/2 |h| + 1/2 |h|^3     if |h| < 1,
        K = |
            |  0                           otherwise.
            \

 CALL: K = stk_rbf_spherical (H, DIFF)

    computes the derivative of the spherical correlation function with
    respect the H if DIFF is equal to 1, and simply returns the value of the
    exponential correlation function if DIFF <= 0  (in which case it is
    equivalent to K = stk_rbf_spherical (H)).

 ADMISSIBILITY

    The spherical correlation is a valid correlation function in
    dimension d <= 3.



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 STK_RBF_SPHERICAL computes the spherical correlation function



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stk_sf_gausscorr


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 STK_SF_GAUSSCORR is deprecated, use stk_rbf_gauss instead

 See also: stk_rbf_gauss



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 STK_SF_GAUSSCORR is deprecated, use stk_rbf_gauss instead



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stk_sf_matern


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 STK_SF_MATERN is deprecated, use stk_rbf_matern instead

 See also: stk_rbf_matern



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 STK_SF_MATERN is deprecated, use stk_rbf_matern instead



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stk_sf_matern32


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 STK_SF_MATERN32 is deprecated, use stk_rbf_matern32 instead

 See also: stk_rbf_matern32



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 STK_SF_MATERN32 is deprecated, use stk_rbf_matern32 instead



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stk_sf_matern52


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 STK_SF_MATERN52 is deprecated, use stk_rbf_matern52 instead

 See also: stk_rbf_matern52



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 STK_SF_MATERN52 is deprecated, use stk_rbf_matern52 instead





