@inproceedings{GoulNoce98,
 author         = {N. I. M. Gould and J. Nocedal},
 title          = {The modified absolute-value factorization norm for
                   trust-region minimization},
 crossref       = {DeLeMurlPardTora98}, pages = {225--241},
 abstract       = {A trust-region method for unconstrained minimization, using
                   a trust-region norm based upon a modified absolute-value
                   factorization of the model Hessian, is proposed. It is
                   shown that the resulting trust-region subproblem may be
                   solved using a single factorization. In the convex case,
                   the method reduces to a backtracking Newton linesearch
                   procedure. The resulting software package is available as
                   {\tt HSL\_VF06} within the \citebb{HSL00}. Numerical
                   evidence shows that the approach is effective in the
                   nonconvex case.},
 summary        = {A trust-region method for unconstrained minimization,
                   using a trust-region norm based upon a modified
                   absolute-value factorization of the model Hessian, is
                   proposed. It is shown that the resulting trust-region
                   subproblem may be solved using a single
                   factorization. In the convex case, the method reduces
                   to a backtracking Newton linesearch procedure. Numerical
                   experience suggests that the approach is effective in the
                   non-convex case.}}