/// Answers the inverse of the receiver computed via the CRL algorithm.
/// @return DhbMatrixAlgebra.SymmetricMatrix
/// @exception ArithmeticException if the matrix is singular.
private SymmetricMatrix CrlInverse()
{
if (this.Rows == 1)
{
return(Inverse1By1());
}
else if (this.Rows == 2)
{
return(Inverse2By2());
}
Matrix[] splitMatrices = Split();
SymmetricMatrix b1 = (SymmetricMatrix)splitMatrices[0].Inverse();
Matrix cb1 = splitMatrices[2].SecureProduct(b1);
SymmetricMatrix cb1cT = new SymmetricMatrix(
cb1.ProductWithTransposedComponents(splitMatrices[2]));
splitMatrices[1] = ((SymmetricMatrix)
splitMatrices[1]).SecureSubtract(cb1cT).Inverse();
splitMatrices[2] = splitMatrices[1].SecureProduct(cb1);
splitMatrices[0] = b1.SecureAdd(new SymmetricMatrix(
cb1.TransposedProductComponents(splitMatrices[2])));
return(SymmetricMatrix.Join(splitMatrices));
}