L∞ norm equals max absolute value
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Norm (mathematics)
L∞ norm equals max absolute value
The L∞ norm is defined as the maximum absolute value of the vector components. This norm measures the greatest deviation from zero among all components of the vector.
Example
For the vector (3, -7), the L∞ norm is 7, since 7 is the absolute value of the component with the greatest magnitude.
Remember this
Understanding the L∞ norm is crucial for analyzing vector spaces and functions in various mathematical and engineering applications.
Text adapted from Wikipedia, licensed under CC BY-SA 4.0.
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