CUTE: constrained and unconstrained testing environment
ACM Transactions on Mathematical Software (TOMS)
Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++
ACM Transactions on Mathematical Software (TOMS)
Evaluating derivatives: principles and techniques of algorithmic differentiation
Evaluating derivatives: principles and techniques of algorithmic differentiation
Numerical Optimization: Theoretical and Practical Aspects (Universitext)
Numerical Optimization: Theoretical and Practical Aspects (Universitext)
On the local convergence of adjoint Broyden methods
Mathematical Programming: Series A and B
Journal of Computational Physics
Application of Sinc-collocation method for solving a class of nonlinear Fredholm integral equations
Computers & Mathematics with Applications
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In this paper we introduce a quasi-Newton method for the solution of systems of non-linear equations based on the nested application of adjoint Broyden updates. In combination with a suitable line search this method yields convergence of the iteration under the same requirements on F as Newton's method. The successive use of adjoint Broyden updates yields even local r-linear convergence of the iteration and provides the requirements for the local convergence analysis that gives q-superlinear convergence of the iteration.