Vector Norm VI

Owning Palette: Linear Algebra VIs

Requires: Full Development System

Computes the norm of Input Vector. Wire data to the Input Vector input to determine the polymorphic instance to use or manually select the instance.

Note  You can use the Matrix Norm VI to calculate the matrix norm.

Details  

Use the pull-down menu to select an instance of this VI.

Select an instance Real Vector NormComplex Vector Norm

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Real Vector Norm

	Input Vector is the real input vector. If Input Vector is an empty array, this VI sets norm to NaN.
	norm type indicates what type of norm you use to compute the norm. The default is 2-norm. If norm type is User Defined, this VI uses user defined norm as the norm type. 1 1-norm 2 2-norm (default) 3 Inf-norm 4 –Inf-norm 5 User Defined
	user defined norm is the user defined norm type. The default is –1. This VI uses user defined norm as the norm type only if you set norm type to User Defined. user defined norm must be nonzero.
	norm is the norm of Input Vector.
	error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Complex Vector Norm

	Input Vector is the complex input vector. If Input Vector is an empty array, this VI sets norm to NaN.
	norm type indicates what type of norm you use to compute the norm. The default is 2-norm. If norm type is User Defined, this VI uses user defined norm as the norm type. 1 1-norm 2 2-norm (default) 3 Inf-norm 4 –Inf-norm 5 User Defined
	user defined norm is the user defined norm type. The default is –1. This VI uses user defined norm as the norm type only if you set norm type to User Defined. user defined norm must be nonzero.
	norm is the norm of Input Vector.
	error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Vector Norm Details

This VI calculates norm using the following equations.

1-norm	||X|| = |x0| + |x1| + … + |xn – 1|
2-norm	||X|| = √(|x0|2 + |x1|2 + … + |xn – 1|2)
Inf-norm	||X|| = maxi(|xi|)
–Inf-norm	||X|| = mini(|xi|)
User Defined	||X|| = ||x0|y + |x1|y + … + |xn – 1|y|1/y

where X is Input Vector, y is user defined norm, and ||X|| is norm.