Interior Point Methods for Linear Optimization is a comprehensive, thorough textbook on
interior point methods (IPMs). The era of IPMs was initiated by N. Karmarkar's 1984 paper …

This paper gives an approach to implementing a second-order primal-dual interior point
method. It uses a Taylor polynomial of second order to approximate a primal-dual trajectory …

revolutionary development which has given mankind the ability to state general goals and to
lay out a path of detailed decisions to take in order to “best” achieve its goals when faced …

Linear programming represents one of the major applications of mathematics to business,
industry, and economics. It provides a methodology for optimizing an output given that is a …

The first comprehensive review of the theory and practice of one oftoday's most powerful
optimization techniques. The explosive growth of research into and development of …

In this paper a unified treatment of algorithms is described for linear programming methods
based on the central path. This path is a curve along which the cost decreases, and that …

Die hier angesprochene Unterscheidung zwischen stetigen und diskreten Problemen ergibt
sich aus den sehr unterschiedlichen Lösungsansätzen. Grob gesprochen kann man bei …

In this paper the abstract of the thesis” New Interior Point Algorithms in Linear Programming”
is presented. The purpose of the thesis is to elaborate new interior point algorithms for …

This paper addresses the application of interior point methods to the Weighted Least
Absolute Value state estimation problem. Interior point methods are applied to the primal …

Linear programming (LP)(Dantzig 1948, 1951a, b, c) might be one of the most well-known
and widely used mathematical tools in the world. As a branch of optimization, it serves as the …