Functions and CALL Routines

LPNORM Function

Returns the Lp norm of the second argument and subsequent non-missing arguments.

Category:

Descriptive Statistics

Syntax
Arguments
Details
Examples
	Example 1: Calculating the Lp Norm
	Example 2: Calculating the Lp Norm When You Use a Variable List
See Also

Syntax

LPNORM(p, value-1 <,value-2 ...>)

Arguments

p: specifies a numeric constant, variable, or expression that is greater than or equal to 1, which is used as the power for computing the L_p norm.
value: specifies a numeric constant, variable, or expression.

Details

If all arguments have missing values, then the result is a missing value. Otherwise, the result is the L_p norm of the non-missing values of the second and subsequent arguments.

In the following example, p is the value of the first argument, and [equation] are the values of the other non-missing arguments.

[equation]

Examples

Example 1: Calculating the Lp Norm

The following example returns the L_p norm of the second and subsequent non-missing arguments.

data _null_;
   x1 = lpnorm(1, ., 3, 0, .q, -4);
   x2 = lpnorm(2, ., 3, 0, .q, -4);
   x3 = lpnorm(3, ., 3, 0, .q, -4);
   x999 = lpnorm(999, ., 3, 0, .q, -4);
   put x1= / x2= / x3= / x999=;
run;

SAS writes the following output to the log:

x1=7
x2=5
x3=4.4979414453
x999=4

Example 2: Calculating the Lp Norm When You Use a Variable List

The following example uses a variable list and returns the L_p norm.

data _null_;
   x1 = 1;
   x2 = 3;
   x3 = 4;
   x4 = 3;
   x5 = 1;
   x = lpnorm(of x1-x5);
   put x=;
run;

SAS writes the following output to the log:

x=11