public void RectangularMatrixNorms()
{
RectangularMatrix Z = new RectangularMatrix(3, 4);
Assert.IsTrue(Z.OneNorm() == 0.0);
Assert.IsTrue(Z.InfinityNorm() == 0.0);
Assert.IsTrue(Z.FrobeniusNorm() == 0.0);
RectangularMatrix A = GenerateRandomMatrix(4, 5);
Assert.IsTrue(A.OneNorm() > 0.0);
Assert.IsTrue(A.InfinityNorm() > 0.0);
Assert.IsTrue(A.FrobeniusNorm() > 0.0);
RectangularMatrix B = GenerateRandomMatrix(5, 6);
Assert.IsTrue(B.OneNorm() > 0.0);
Assert.IsTrue(B.InfinityNorm() > 0.0);
Assert.IsTrue(B.FrobeniusNorm() > 0.0);
// Frobenius norm is sub-multiplicative
RectangularMatrix P = A * B;
Assert.IsTrue(P.FrobeniusNorm() <= A.FrobeniusNorm() * B.FrobeniusNorm());
}
