OUTERPROD

Purpose:

Computes the outer product of two series.

OUTERPROD(a, b , "op")

a	-	A single column series.
b	-	A single column series.
"op"	-	A string, the binary outer product operator.

An array with as many rows as length(a) and as many columns as length(b).

a = {2, 3, 4};

b = {1, 2, 3, 4};

c1 = outerprod(a, b, "*");

m1 = a *^ b';

c1 == {{2, 4, 6, 8},

{3, 6, 9, 12},

{4, 8, 12, 16}}

m1 == {{2, 4, 6, 8},

{3, 6, 9, 12},

{4, 8, 12, 16}}

The standard outer product is computed with "*" multiplication operator. In this case, the outer product is equivalent to a *^ b'

a = {2, 3, 4};

b = {1, 2, 3, 4};

c1 = outerprod(a, b, "*");

c2 = outerprod(a, b, "+");

c3 = outerprod(a, b, "^");

c1 == {{2, 4, 6, 8},

{3, 6, 9, 12},

{4, 8, 12, 16}}

c2 == {{3, 4, 5, 6},

{4, 5, 6, 7},

{5, 6, 7, 8}}

c3 == {{2, 4, 8, 16},

{3, 9, 27, 81},

{4, 16, 64, 256}}

c1 contains the standard outer product, c2 and c3 contain the generalized outer products of series a and b.

The returned array is computed by interposing the outer product operator between every possible pair from a and b.

If Q_j represents the j^th entry in b, then the j^th column of the output array is equivalent to a OP Q_j.

The standard outer produce of two series is computed with the "*" multiplication operator.

Binary operators include the arithmetic and logical operators. The "Exclusive OR" operator is represented by the string "XOR".