[BOOK][B] Interior point approach to linear, quadratic and convex programming: algorithms and complexity

D Den Hertog - 2012 - books.google.com
This book describes the rapidly develo** field of interior point methods (IPMs). An
extensive analysis is given of path-following methods for linear programming, quadratic …

An infeasible interior-point algorithm for solving primal and dual geometric programs

KO Kortanek, X Xu, Y Ye - Mathematical programming, 1997 - Springer
In this paper an algorithm is presented for solving the classical posynomial geometric
programming dual pair of problems simultaneously. The approach is by means of a primal …

Posynomial geometric programming with interval exponents and coefficients

ST Liu - European Journal of Operational Research, 2008 - Elsevier
Geometric programming provides a powerful tool for solving nonlinear problems where
nonlinear relations can be well presented by an exponential or power function. In the real …

Survey of penalty, exact-penalty and multiplier methods from 1968 to 1993

D Boukari, AV Fiacco - Optimization, 1995 - Taylor & Francis
This paper is an updated and edited version of the survey that appeared in Boukari [42]. The
original work reported on research since the Fiacco-McCormick 1968 survey [95] that has …

Solving geometric programming problems with triangular and trapezoidal uncertainty distributions

T Mondal, AK Ojha, S Pani - RAIRO-Operations Research, 2022 - rairo-ro.org
The geometric programming problem is an important optimization technique that is often
used to solve different nonlinear optimization problems and engineering problems. The …

Posynomial parametric geometric programming with interval valued coefficient

GS Mahapatra, TK Mandal - Journal of Optimization Theory and …, 2012 - Springer
The article presents solution procedure of geometric programming with imprecise
coefficients. We have considered problems with imprecise data as a form of an interval in …

Posynomial geometric programming with parametric uncertainty

ST Liu - European Journal of Operational Research, 2006 - Elsevier
Geometric programming provides a powerful tool for solving nonlinear problems where
nonlinear relations can be well presented by exponential or power function. This paper …

Geometric Programming Problems with Triangular and Trapezoidal Twofold Uncertainty Distributions

T Mondal, AK Ojha, S Pani - Journal of Optimization Theory and …, 2024 - Springer
Geometric programming is a well-known optimization tool for dealing with a wide range of
nonlinear optimization and engineering problems. In general, it is assumed that the …

Solving posynomial geometric programming problems via generalized linear programming

J Rajgopal, DL Bricker - Computational Optimization and Applications, 2002 - Springer
This paper revisits an efficient procedure for solving posynomial geometric programming
(GP) problems, which was initially developed by Avriel et al. The procedure, which used the …

An interior point potential reduction method for constrained equations

T Wang, RDC Monteiro, JS Pang - Mathematical Programming, 1996 - Springer
We study the problem of solving a constrained system of nonlinear equations by a
combination of the classical damped Newton method for (unconstrained) smooth equations …