public void JaggedCholeskyDecompositionConstructorTest()
{
// Based on tests by Ken Johnson
double[,] value = // positive-definite
{
{ 2, -1, 0 },
{ -1, 2, -1 },
{ 0, -1, 2 }
};
double[,] expected =
{
{ 1.4142, 0.0000, 0.0000 },
{ -0.7071, 1.2247, 0.0000 },
{ 0.0000, -0.8165, 1.1547 }
};
var chol = new JaggedCholeskyDecomposition(value.ToJagged());
double[][] L = chol.LeftTriangularFactor;
Assert.IsTrue(Matrix.IsEqual(L, expected, 0.0001));
// Decomposition Identity
Assert.IsTrue(Matrix.IsEqual(Matrix.Multiply(L, L.Transpose()), value, 1e-3));
Assert.IsTrue(Matrix.IsEqual(chol.Reverse(), value, 1e-3));
Assert.AreEqual(new LuDecomposition(value).Determinant, chol.Determinant, 1e-10);
Assert.IsTrue(chol.IsPositiveDefinite);
//Assert.AreEqual(true, chol.Symmetric);
}