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Matrix Characteristic Polynomial (G Dataflow)

    Last Modified: December 4, 2016

    Computes the characteristic polynomial of a 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.


    error in

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

    Default: No error


    characteristic polynomial

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


    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


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