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

In the following example, p is the value of the first argument, and

x Baseline 1 comma x Baseline 2 comma period period period comma x n

are the values of the other nonmissing arguments.

multiline equation line 1 upper L upper P upper N upper O upper R upper M left-parenthesis p comma x Baseline 1 comma x Baseline 2 comma period period period comma x n right-parenthesis equals left-parenthesis a b s left-parenthesis x Baseline 1 right-parenthesis Superscript p Baseline plus a b s left-parenthesis x Baseline 2 right-parenthesis Superscript p Baseline plus period period period plus a b s left-parenthesis x n right-parenthesis Superscript p Baseline right-parenthesis Superscript 1 slash p

Examples

Example 1: Calculating the Lp Norm

The following example returns the L_p norm of the second and subsequent nonmissing 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

LPNORM Function

Syntax

Required Arguments

p

value

Details

Examples

Example 1: Calculating the Lp Norm

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

See Also