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hessenberg

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    Last Modified: March 15, 2017

    Converts a matrix to Hessenberg form and returns the unitary transformation matrix. The Hessenberg form of a matrix has elements equal to 0 below the first subdiagonal.

    Syntax

    h = hessenberg(a)
    [t, h] = hessenberg(a)
    Legacy name: hess

    Inputs

    a

    Square matrix.

    Outputs

    h

    a in Hessenberg form. h is a matrix of the same size as a. If a is a symmetric or Hermitian matrix, h is tridiagonal.

    t

    Unitary transformation matrix. t is a matrix of the same size as a.

    Further Information

    The Hessenberg matrix h satisfies the following unitary similarity transformation: a = t*h*t' with t*t' = t'*t = eye(size(a)).

    A = [2, -4, 7; -1, 9, 0; -4, -7, 3];
    [T, H] = hessenberg(A);
    C = T*H*T';
    D = T*T';

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: This product does not support FPGA devices


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