SIAM Journal on Control and Optimization
CUTE: constrained and unconstrained testing environment
ACM Transactions on Mathematical Software (TOMS)
On the formulation and theory of the Newton interior-point method for nonlinear programming
Journal of Optimization Theory and Applications
Journal of Optimization Theory and Applications
An SQP method for general nonlinear programs using only equality constrained subproblems
Mathematical Programming: Series A and B
Test Examples for Nonlinear Programming Codes
Test Examples for Nonlinear Programming Codes
Interior Methods for Nonlinear Optimization
SIAM Review
On the Accurate Identification of Active Constraints
SIAM Journal on Optimization
A Simple Primal-Dual Feasible Interior-Point Method for Nonlinear Programming with Monotone Descent
Computational Optimization and Applications
A Feasible Sequential Linear Equation Method for Inequality Constrained Optimization
SIAM Journal on Optimization
Journal of Computational and Applied Mathematics
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In this paper, by means of ''working set'' technique for determining the active set and the idea of primal-dual interior-point method, a new feasible QP-free algorithm for solving inequality constrained optimization problems is presented. At each iteration, the algorithm solves only three reduced systems of linear equations with common coefficient matrix. Moreover, the initial iteration point can be at constraint boundary and the coefficient matrix is uniformly nonsingular without the strict complementarity. We also prove that the proposed algorithm obtains global and superlinear convergence. At last, preliminary numerical results are reported.