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Matrix Rank (G Dataflow)

Last Modified: January 9, 2017

Computes the rank of a matrix.

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matrix

A matrix.

This input accepts a 2D array of double-precision, floating point numbers or 2D array of complex double-precision, floating point numbers.

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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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tolerance

A level such that the number of singular values greater than this level is the rank of the input matrix.

If this input is negative, this node uses the following equation to determine the actual tolerance:

tolerance = max( m , n ) * A * ε

where

  • A represents the input matrix
  • m represents the number of rows in A
  • n represents the number of columns in A
  • A is the 2-norm of A
  • ε is the smallest floating point number that can be represented by type double

Default: -1

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rank

Number of singular values in the input matrix that are larger than the tolerance. This output is the maximum number of independent rows or columns in the input matrix.

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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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