trlib: a vector-free implementation of the GLTR method for iterative solution of the trust region problem

A trust region algorithm with a worst-case iteration complexity of $$\mathcal{O}(\epsilon ^{-3/2})$$ O ( ϵ - 3 / 2 ) for nonconvex optimization

(2016) Frank E. Curtis et al.   MATHEMATICAL PROGRAMMING

Unified form language

(2014) Martin S. Alnæs et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Automated Derivation of the Adjoint of High-Level Transient Finite Element Programs

(2013) P. E. Farrell et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

DOLFIN

(2010) Anders Logg et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity

(2010) Coralia Cartis et al.   MATHEMATICAL PROGRAMMING

Optimal Solvers for PDE-Constrained Optimization

(2010) Tyrone Rees et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results

(2009) Coralia Cartis et al.   MATHEMATICAL PROGRAMMING

Iterative Methods for Finding a Trust-region Step

(2009) Jennifer B. Erway et al.   SIAM JOURNAL ON OPTIMIZATION

A Subspace Minimization Method for the Trust-Region Step

(2009) Jennifer B. Erway et al.   SIAM JOURNAL ON OPTIMIZATION

Algorithm 873:

(2008) Marielba Rojas et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE