Package jline.api.moment

Class Moment_tensortrans

java.lang.Object

jline.api.moment.Moment_tensortrans

public final class Moment_tensortrans
extends Object

Mode product of a joint moment array with a conversion matrix.

Applies a conversion matrix along one dimension of a joint moment array: every fibre of the array along that dimension is replaced by T times that fibre. Applying it once per dimension realises the Kronecker product of the univariate conversions, which is the structure of every separable edge of the house of moments.

Joint moment arrays are held flattened in ROW-MAJOR order, the last dimension varying fastest, with dims[j] = n_j+1 the extent of dimension j. The MATLAB counterpart uses native N-D arrays and therefore a column-major layout; only the linearisation differs, never the value at a multi-index.

Reference: A. Heindl and A. van de Liefvoort. Moment conversions for discrete distributions. PMCCS, 2003.

Since:

LINE 3.0

Method Summary

Modifier and Type	Method	Description
static double[]	moment_tensortrans(double[] a, int[] dims, Matrix T, int mode)	Applies a conversion matrix along one dimension of a joint moment array.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

moment_tensortrans

public static double[] moment_tensortrans(double[] a,
 int[] dims,
 Matrix T,
 int mode)

Applies a conversion matrix along one dimension of a joint moment array.

Parameters:

a - flattened joint moment array in row-major order

dims - extents of the array, dims[j] = n_j+1

T - (dims[mode])x(dims[mode]) conversion matrix

mode - zero-based dimension to transform

Returns:

flattened array of the same extent, same layout