Now welcome, the most inspiring book today from a very professional writer in the world, a unified approach to interior point algorithms for linear complementarity problems lecture notes in computerâ€¦ (More)

As in many primal dual interior-point algorithms, a primal dual infeasible-interior-point algorithm chooses a new point along the Newton direction towards a point on the central trajectory, but itâ€¦ (More)

Given an n x n matrix M and an n-dimensional vector q, the problem of finding n-dimensional vectors x and y satisfying is known as a linear complementarity problem. Under the assumption that M isâ€¦ (More)

An example of SDPs (semide nite programs) exhibits a substantial di culty in proving the superlinear convergence of a direct extension of the Mizuno-Todd-Ye type predictorcorrector primal-dualâ€¦ (More)

A critical disadvantage of primal-dual interior-point methods compared to dual interior-point methods for large scale semidefinite programs (SDPs) has been that the primal positive semidefiniteâ€¦ (More)

A complementarity problem with a continuous mapping f from R n into itself can be written as the system of equations F(x, y ) = 0 and ( x , y ) > 0. Here F is the mapping from R ~ " into itselfâ€¦ (More)

Unconstrained and inequality constrained sparse polynomial optimization problems (POPs) are considered. A correlative sparsity pattern graph is defined to find a certain sparse structure in theâ€¦ (More)