English

A Polynomial-Time Algorithm for the Tridiagonal and Hessenberg P-Matrix Linear Complementarity Problem

Optimization and Control 2011-12-02 v1 Computational Complexity

Abstract

We give a polynomial-time dynamic programming algorithm for solving the linear complementarity problem with tridiagonal or, more generally, Hessenberg P-matrices. We briefly review three known tractable matrix classes and show that none of them contains all tridiagonal P-matrices.

Keywords

Cite

@article{arxiv.1112.0217,
  title  = {A Polynomial-Time Algorithm for the Tridiagonal and Hessenberg P-Matrix Linear Complementarity Problem},
  author = {Bernd Gärtner and Markus Sprecher},
  journal= {arXiv preprint arXiv:1112.0217},
  year   = {2011}
}

Comments

4 pages, 3 figures

R2 v1 2026-06-21T19:44:45.603Z