An interior-point method for efficient solution of block-structured NLP problems using an implicit Schur-complement decomposition

On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming

Andreas Wächter, Lorenz T. Biegler · Mathematical Programming · 2005 · 9.4K citations

Natural Sciences, Computer Science, Algorithms +9

An Introduction to the Conjugate Gradient Method Without the Agonizing Pain

Jonathan Richard Shewchuk · 1994 · 2.2K citations

Natural Sciences, Computer Science, Mathematics +17

Interior Methods for Nonlinear Optimization

Anders Forsgren, Philip E. Gill, Margaret H. Wright · SIAM Review · 2002 · 696 citations

Natural Sciences, Industrial Engineering, Design Optimization +10

Parallel Lagrange--Newton--Krylov--Schur Methods for PDE-Constrained Optimization. Part I: The Krylov--Schur Solver

George Biros, Omar Ghattas · SIAM Journal on Scientific Computing · 2005 · 272 citations

Natural Sciences, Computer Science, Mathematics +16

An improved method for nonlinear model reduction using balancing of empirical gramians

Juergen Hahn, Thomas F. Edgar · Computers & Chemical Engineering · 2002 · 228 citations

Computing, Computer Science, Mathematics +8