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Vector Norm (G Dataflow)

Last Modified: January 9, 2017

Computes the norm of a vector.

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vector

The input vector.

This input accepts a 1D array of double-precision, floating point numbers or 1D array of complex double-precision, floating point numbers.

If this input is an empty array, this node returns NaN.

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norm type

Type of norm this node computes.

If norm type is User Defined, this node uses user defined norm as the norm type.

Name Value Description
1-norm 0 Uses 1-norm.
2-norm 1 Uses 2-norm.
Inf-norm 2 Uses infinity-norm.
-Inf-norm 3 Uses -infinity-norm.
User Defined 4 Uses the user defined norm as the norm type.

Algorithms for Calculating the Norm

This node calculates the norm according to the following equations.

Norm type Algorithm
1-norm x = | x 0 | + | x 1 | + ... + | x n 1 |
2-norm x = ( | x 0 | 2 + | x 1 | 2 + ... + | x n 1 | 2 )
Inf-norm x = max i ( | x i | )
-Inf-norm x = min i ( | x i | )
User Defined x = ( | x 0 | y + | x 1 | y + + | x n 1 | y ) 1 y

where

  • x is the input vector
  • y is the input user defined norm
  • ||x|| is the norm

Default: 2-norm

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user defined norm

Norm type that you specify.

If norm type is User Defined, this node uses user defined norm as the norm type.

This input must be nonzero.

Default: -1

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error in

Error conditions that occur before this node runs. The node responds to this input according to standard error behavior.

Default: No error

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norm

The norm of the input vector.

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error out

Error information. The node produces this output according to standard error behavior.

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported


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