math4610

Homework, Material, and Software Manual for Math 4610

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L1 Vector Norm

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Routine Name: norm1vec

Author: Tanner Wheeler

Language: Python. This code can be run on a python 3 compiler. The file can be imported and then the method will run.

Description/Purpose: This code will compute the l_1 norm of a vector. This can be run for any size of vector with integer, float, and double values.

Input: The first input for this method is a 1 dimensional vector/list of numbers. The second is the length of the vector.

Output: This routine returns a double precision value for the l_1 norm.

Usage/Example: First let’s create a vector c of size 3 and set each element to a specific number.

c = [float(0) for i in range(0, 3)]

c[0] = 1
c[1] = 9
c[2] = 3

Now let’s print out the value return from our function given our created vector.

print(norm1vec(c, 3))

This would print

13.0

to the console.

Implementation/Code: The following is the code for norm1vec(x, m)

def norm1vec(x, m):
    numSum = 0.0
    for i in range(m):
        numSum = numSum + abs(x[i])
        
    return numSum

Last Modified: Dec 14, 2018