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 the past 10 years the interior point methods (IPM) for linear programming have gained
extraordinary interest as an alternative to the sparse simplex based methods. This has …

There is a large number of design choices to be made in the implementation of the primal-
dual interior point method for mixed semidefinite and second order cone optimization. This …

Seriation seeks to reconstruct a linear order between variables using unsorted similarity
information. It has direct applications in archeology and shotgun gene sequencing for …

Many issues that are crucial for an e cient implementation of an interior point algorithm are
addressed in this paper. To start with, a prototype primal {dual algorithm is presented. Next …

In this paper, we introduce the truncated primal‐infeasible dual‐feasible interior point
algorithm for linear programming and describe an implementation of this algorithm for …

Interior-point methods, originally invented in the context of linear programming, have found a
much broader range of applications, including discrete problems that arise in computer …

Cholesky factorization has become the method of choice for solving the symmetric system of
linear equations arising in interior point methods (IPMs) for linear programming (LP), its …

We propose a new set of preconditioners for the iterative solution, via a preconditioned
conjugate gradient (PCG) method, of the KKT systems that must be solved at each iteration …

An experimental computational study to compare the classical primal simplex algorithm and
the exterior point algorithms for the transportation problem (TP) is presented. Totally, four …