A trust region method based on interior point techniques for nonlinear programming

RH Byrd, JC Gilbert, J Nocedal - Mathematical programming, 2000 - Springer
An algorithm for minimizing a nonlinear function subject to nonlinear inequality constraints is
described. It applies sequential quadratic programming techniques to a sequence of barrier …

[图书][B] Numerical optimization: theoretical and practical aspects

JF Bonnans, JC Gilbert, C Lemaréchal… - 2006 - books.google.com
Just as in its 1st edition, this book starts with illustrations of the ubiquitous character of
optimization, and describes numerical algorithms in a tutorial way. It covers fundamental …

A computationally efficient feasible sequential quadratic programming algorithm

CT Lawrence, AL Tits - Siam Journal on optimization, 2001 - SIAM
A sequential quadratic programming (SQP) algorithm generating feasible iterates is
described and analyzed. What distinguishes this algorithm from previous feasible SQP …

Numerical methods for semi-infinite programming: a survey

R Reemtsen, S Görner - Semi-infinite programming, 1998 - Springer
This paper provides a review of numerical methods for the solution of smooth semi-infinite
programming problems. Fundamental and partly new results on level sets, discretization …

Feasible direction interior-point technique for nonlinear optimization

J Herskovits - Journal of optimization theory and applications, 1998 - Springer
We propose a feasible direction approach for the minimization by interior-point algorithms of
a smooth function under smooth equality and inequality constraints. It consists of the iterative …

On combining feasibility, descent and superlinear convergence in inequality constrained optimization

ER Panier, AL Tits - Mathematical programming, 1993 - Springer
Extension of quasi-Newton techniques from unconstrained to constrained optimization via
Sequential Quadratic Programming (SQP) presents several difficulties. Among these are the …

[图书][B] Numerical methods in sensitivity analysis and shape optimization

E Laporte, P Le Tallec - 2002 - books.google.com
Sensitivity analysis and optimal shape design are key issues in engineering that have been
affected by advances in numerical tools currently available. This book, and its …

A primal-dual interior-point method for nonlinear programming with strong global and local convergence properties

AL Tits, A Wächter, S Bakhtiari, TJ Urban… - SIAM Journal on …, 2003 - SIAM
An exact-penalty-function-based scheme---inspired from an old idea due to Mayne and
Polak [Math. Program., 11 (1976), pp. 67--80]---is proposed for extending to general smooth …

Mathematical programming models and algorithms for engineering design optimization

J Herskovits, P Mappa, E Goulart… - Computer Methods in …, 2005 - Elsevier
Mathematical programming provides general tools for engineering design optimization. We
present numerical models for simultaneous analysis and design optimization (SAND) and …

A superlinear convergence feasible sequential quadratic programming algorithm for bipedal dynamic walking robot via discrete mechanics and optimal control

Z Sun, Y Tian, H Li, J Wang - Optimal Control Applications and …, 2016 - Wiley Online Library
For periodic gait optimization problem of the bipedal walking robot, a class of global and
feasible sequential quadratic programming algorithm (FSQPA) is proposed based on …