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<iframe src="https://calcdeck.com/widgets/vector-norm.html"
width="100%" height="400" frameborder="0"></iframe>About Vector Norms
Vector norms are mathematical functions that assign a positive length or size to a vector. They are essential in various fields including:
- Linear algebra and mathematical analysis
- Machine learning and optimization
- Signal processing and data compression
- Computer graphics and computational geometry
Types of Norms
- L1 Norm (Manhattan)
- Sum of absolute values of vector components. Used in robust regression and compressed sensing.
- L2 Norm (Euclidean)
- Square root of sum of squared components. Most common norm, represents geometric distance.
- Infinity Norm
- Maximum absolute value of vector components. Used in optimization and convergence analysis.