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Matrix Characteristic Polynomial (G Dataflow)

Version:
    Last Modified: December 4, 2016

    Computes the characteristic polynomial 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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    characteristic polynomial

    Coefficients of the characteristic polynomial of the input matrix in ascending order.

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    error out

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

    Algorithm for Calculating the Characteristic Polynomial of a Matrix

    The characteristic polynomial of matrix A is defined as p(λ) = det(λI - A), where det denotes the matrix determinant.

    If A is a square matrix of order n, the order of its characteristic polynomial is n. Moreover, the n roots of the characteristic polynomial are the eigenvalues of A.

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA:


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