Reformulate some sentences Change-Id: I4841aa8e8522008dd816261d9ad98e5fb8ad1758
diff --git a/docs/source/nnls_modeling.rst b/docs/source/nnls_modeling.rst index 0b899ac..257c5eb 100644 --- a/docs/source/nnls_modeling.rst +++ b/docs/source/nnls_modeling.rst
@@ -1152,8 +1152,7 @@ Theory ------ -Let us consider a problem with a single problem and a single parameter -block. +Let us consider a problem with a single parameter block. .. math:: @@ -1171,8 +1170,8 @@ been ignored. Note that :math:`H(x)` is indefinite if :math:`\rho''f(x)^\top f(x) + \frac{1}{2}\rho' < 0`. If this is not the case, then its possible to re-weight the residual and the Jacobian -matrix such that the corresponding linear least squares problem for -the robustified Gauss-Newton step. +matrix such that the robustified Gauss-Newton step corresponds to an +ordinary linear least squares problem. Let :math:`\alpha` be a root of @@ -1193,7 +1192,7 @@ we limit :math:`\alpha \le 1- \epsilon` for some small :math:`\epsilon`. For more details see [Triggs]_. -With this simple rescaling, one can use any Jacobian based non-linear +With this simple rescaling, one can apply any Jacobian based non-linear least squares algorithm to robustified non-linear least squares problems.