Class Basis

    • Constructor Detail

      • Basis

        public Basis​(int dim,
                     int i)
        Construct a vector that corresponds to the i-th dimension in Rn. That is (a 1 in the i-th entry), \[ \begin{bmatrix} 0\\ ...\\ 1\\ ...\\ 0 \end{bmatrix} \]
        Parameters:
        dim - the dimension
        i - the i-th dimension in Rn
    • Method Detail

      • getBasis

        public static List<Vector> getBasis​(int dim)
        Get the full set of the standard basis vectors.
        Parameters:
        dim - the dimension
        Returns:
        the basis vectors
      • getBasis

        public static List<Vector> getBasis​(int dim,
                                            int nCols)
        Get a subset of the standard basis vectors.
        Parameters:
        dim - the dimension
        nCols - the number of basis vectors requested; it must be smaller than dim
        Returns:
        the basis vectors
        Throws:
        IllegalArgumentException - if there are more columns requested than the dimension