Description Usage Arguments Value Author(s) References See Also Examples
This function computes the gauss-hermite quadrature in more than one dimension.
1 | multiquad(nnodos, dims)
|
nnodos |
Number of nodes. |
dims |
Number of dimensions of the quadrature |
An object of class "MultiGaussQuadrature"
. This has the components:
X |
Coordinates of the nodes |
A |
Weights asociated to each node |
Jose Luis Vicente-Villardon,Julio Cesar Hernandez Sanchez
Maintainer: Jose Luis Vicente-Villardon <villardon@usal.es>
Jackel, P. (2005) A note on multivariate Gauss-Hermite quadrature
http://www.pjaeckel.webspace.virginmedia.com/ANoteOnMultivariateGaussHermiteQuadrature.pdf
1 2 3 |
multiquad(10,2)
|
Loading required package: mirt
Loading required package: stats4
Loading required package: lattice
Loading required package: gmodels
Loading required package: MASS
$X
[,1] [,2]
[1,] 3.4361591 1.0366108
[2,] 3.4361591 0.3429013
[3,] 3.4361591 -0.3429013
[4,] 3.4361591 -1.0366108
[5,] 2.5327317 2.5327317
[6,] 2.5327317 1.7566836
[7,] 2.5327317 1.0366108
[8,] 2.5327317 0.3429013
[9,] 2.5327317 -0.3429013
[10,] 2.5327317 -1.0366108
[11,] 2.5327317 -1.7566836
[12,] 2.5327317 -2.5327317
[13,] 1.7566836 2.5327317
[14,] 1.7566836 1.7566836
[15,] 1.7566836 1.0366108
[16,] 1.7566836 0.3429013
[17,] 1.7566836 -0.3429013
[18,] 1.7566836 -1.0366108
[19,] 1.7566836 -1.7566836
[20,] 1.7566836 -2.5327317
[21,] 1.0366108 3.4361591
[22,] 1.0366108 2.5327317
[23,] 1.0366108 1.7566836
[24,] 1.0366108 1.0366108
[25,] 1.0366108 0.3429013
[26,] 1.0366108 -0.3429013
[27,] 1.0366108 -1.0366108
[28,] 1.0366108 -1.7566836
[29,] 1.0366108 -2.5327317
[30,] 1.0366108 -3.4361591
[31,] 0.3429013 3.4361591
[32,] 0.3429013 2.5327317
[33,] 0.3429013 1.7566836
[34,] 0.3429013 1.0366108
[35,] 0.3429013 0.3429013
[36,] 0.3429013 -0.3429013
[37,] 0.3429013 -1.0366108
[38,] 0.3429013 -1.7566836
[39,] 0.3429013 -2.5327317
[40,] 0.3429013 -3.4361591
[41,] -0.3429013 3.4361591
[42,] -0.3429013 2.5327317
[43,] -0.3429013 1.7566836
[44,] -0.3429013 1.0366108
[45,] -0.3429013 0.3429013
[46,] -0.3429013 -0.3429013
[47,] -0.3429013 -1.0366108
[48,] -0.3429013 -1.7566836
[49,] -0.3429013 -2.5327317
[50,] -0.3429013 -3.4361591
[51,] -1.0366108 3.4361591
[52,] -1.0366108 2.5327317
[53,] -1.0366108 1.7566836
[54,] -1.0366108 1.0366108
[55,] -1.0366108 0.3429013
[56,] -1.0366108 -0.3429013
[57,] -1.0366108 -1.0366108
[58,] -1.0366108 -1.7566836
[59,] -1.0366108 -2.5327317
[60,] -1.0366108 -3.4361591
[61,] -1.7566836 2.5327317
[62,] -1.7566836 1.7566836
[63,] -1.7566836 1.0366108
[64,] -1.7566836 0.3429013
[65,] -1.7566836 -0.3429013
[66,] -1.7566836 -1.0366108
[67,] -1.7566836 -1.7566836
[68,] -1.7566836 -2.5327317
[69,] -2.5327317 2.5327317
[70,] -2.5327317 1.7566836
[71,] -2.5327317 1.0366108
[72,] -2.5327317 0.3429013
[73,] -2.5327317 -0.3429013
[74,] -2.5327317 -1.0366108
[75,] -2.5327317 -1.7566836
[76,] -2.5327317 -2.5327317
[77,] -3.4361591 1.0366108
[78,] -3.4361591 0.3429013
[79,] -3.4361591 -0.3429013
[80,] -3.4361591 -1.0366108
$A
[,1]
[1,] 1.834763e-06
[2,] 4.667255e-06
[3,] 4.667255e-06
[4,] 1.834763e-06
[5,] 1.805384e-06
[6,] 4.551519e-05
[7,] 3.226612e-04
[8,] 8.207830e-04
[9,] 8.207830e-04
[10,] 3.226612e-04
[11,] 4.551519e-05
[12,] 1.805384e-06
[13,] 4.551519e-05
[14,] 1.147475e-03
[15,] 8.134550e-03
[16,] 2.069260e-02
[17,] 2.069260e-02
[18,] 8.134550e-03
[19,] 1.147475e-03
[20,] 4.551519e-05
[21,] 1.834763e-06
[22,] 3.226612e-04
[23,] 8.134550e-03
[24,] 5.766655e-02
[25,] 1.466917e-01
[26,] 1.466917e-01
[27,] 5.766655e-02
[28,] 8.134550e-03
[29,] 3.226612e-04
[30,] 1.834763e-06
[31,] 4.667255e-06
[32,] 8.207830e-04
[33,] 2.069260e-02
[34,] 1.466917e-01
[35,] 3.731532e-01
[36,] 3.731532e-01
[37,] 1.466917e-01
[38,] 2.069260e-02
[39,] 8.207830e-04
[40,] 4.667255e-06
[41,] 4.667255e-06
[42,] 8.207830e-04
[43,] 2.069260e-02
[44,] 1.466917e-01
[45,] 3.731532e-01
[46,] 3.731532e-01
[47,] 1.466917e-01
[48,] 2.069260e-02
[49,] 8.207830e-04
[50,] 4.667255e-06
[51,] 1.834763e-06
[52,] 3.226612e-04
[53,] 8.134550e-03
[54,] 5.766655e-02
[55,] 1.466917e-01
[56,] 1.466917e-01
[57,] 5.766655e-02
[58,] 8.134550e-03
[59,] 3.226612e-04
[60,] 1.834763e-06
[61,] 4.551519e-05
[62,] 1.147475e-03
[63,] 8.134550e-03
[64,] 2.069260e-02
[65,] 2.069260e-02
[66,] 8.134550e-03
[67,] 1.147475e-03
[68,] 4.551519e-05
[69,] 1.805384e-06
[70,] 4.551519e-05
[71,] 3.226612e-04
[72,] 8.207830e-04
[73,] 8.207830e-04
[74,] 3.226612e-04
[75,] 4.551519e-05
[76,] 1.805384e-06
[77,] 1.834763e-06
[78,] 4.667255e-06
[79,] 4.667255e-06
[80,] 1.834763e-06
attr(,"class")
[1] "MultiGaussQuadrature"
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