Big API change in Cholesky module:
* rename Cholesky to LLT
* rename CholeskyWithoutSquareRoot to LDLT
* rename MatrixBase::cholesky() to llt()
* rename MatrixBase::choleskyNoSqrt() to ldlt()
* make {LLT,LDLT}::solve() API consistent with other modules
Note that we are going to keep a source compatibility untill the next beta release.
E.g., the "old" Cholesky* classes, etc are still available for some time.
To be clear, Eigen beta2 should be (hopefully) source compatible with beta1,
and so beta2 will contain all the deprecated API of beta1. Those features marked
as deprecated will be removed in beta3 (or in the final 2.0 if there is no beta 3 !).
Also includes various updated in sparse Cholesky.
diff --git a/doc/snippets/LLT_solve.cpp b/doc/snippets/LLT_solve.cpp
new file mode 100644
index 0000000..76ab09e
--- /dev/null
+++ b/doc/snippets/LLT_solve.cpp
@@ -0,0 +1,8 @@
+typedef Matrix<float,Dynamic,2> DataMatrix;
+// let's generate some samples on the 3D plane of equation z = 2x+3y (with some noise)
+DataMatrix samples = DataMatrix::Random(12,2);
+VectorXf elevations = 2*samples.col(0) + 3*samples.col(1) + VectorXf::Random(12)*0.1;
+// and let's solve samples * [x y]^T = elevations in least square sense:
+Matrix<float,2,1> xy;
+(samples.adjoint() * samples).llt().solve((samples.adjoint()*elevations), &xy);
+cout << xy << endl;