Direct prod of two arrays
This function computes the direct product of two arrays. The arrays can be numerical vectors or matrices. The result is a matrix.
direct.prod( x, y )
x |
a numeric matrix or vector |
y |
a numeric matrix or vector |
If either \bf{x} or \bf{y} is a vector, it is converted to a matrix. Suppose that \bf{x} is an m \times n matrix and \bf{y} is an p \times q matrix. Then, the function returns the matrix ≤ft[ {\begin{array}{*{20}{c}} {{x_{1,1}}\;{\bf{y}}}&{{x_{1,2}}\;{\bf{y}}}& \cdots &{{x_{1,n}}\;{\bf{y}}}\\ {{x_{2,1}}\;{\bf{y}}}&{{x_{2,2}}\;{\bf{y}}}& \cdots &{{x_{2,n}}\;{\bf{y}}}\\ \cdots & \cdots & \cdots & \cdots \\ {{x_{m,1}}\;{\bf{y}}}&{{x_{m,2}}\;{\bf{y}}}& \cdots &{{x_{m,n}}\;{\bf{y}}} \end{array}} \right].
A numeric matrix.
Frederick Novomestky fnovomes@poly.edu, Kurt Hornik Kurt.Hornik@wu-wien.ac.at
Magnus, J. R. and H. Neudecker (1999) Matrix Differential Calculus with Applications in Statistics and Econometrics, Second Edition, John Wiley.
x <- matrix( seq( 1, 4 ) ) y <- matrix( seq( 5, 8 ) ) print( direct.prod( x, y ) )
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