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Create Real Matrix from Eigenvalues (G Dataflow)

Last Modified: January 9, 2017

Generates a real matrix from a specified set of eigenvalues.

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eigenvalues

Eigenvalues from which to create the real matrix. Eigenvalues must be real or conjugate pairs.

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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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matrix

Real matrix whose eigenvalues you specified.

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error out

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

Algorithm for Calculating the Eigenvalues

This node generates the output matrix in the following form:

[ 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 a 0 a 1 a 2 a n 2 a n 1 ] n × n

where n is the length of the input eigenvalues and a0, a1, ..., an-1 are the coefficients of the polynomial P(x).

The following equation defines P(x):

P ( x ) = ( x λ 0 ) ( x λ 1 ) ( x λ n 1 ) = a 0 + a 1 x + a 2 x 2 + + a n 1 x n 1 + x n

where λ0, λ1, ..., λn - 1 are the elements in eigenvalues.

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported


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