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A Survey of the S-Lemma

- Imre Pólik, T. Terlaky
- Mathematics, Computer Science
- SIAM Rev.
- 1 July 2007

TLDR

On implementing a primal-dual interior-point method for conic quadratic optimization

- E. Andersen, Kees Roos, T. Terlaky
- Mathematics, Computer Science
- Math. Program.
- 1 February 2003

TLDR

Self-regularity - a new paradigm for primal-dual interior-point algorithms

- Jiming Peng, Kees Roos, T. Terlaky
- Computer Science
- Princeton series in applied mathematics
- 27 October 2002

An apparatus and method for continuously detecting oxygen in a carrier gas stream. The apparatus employs a sensor film comprising a fluorescent material emitting from 3000 - 8000 A, dissolved in a… Expand

Theory and algorithms for linear optimization - an interior point approach

- Kees Roos, T. Terlaky, J. Vial
- Mathematics, Computer Science
- Wiley-Interscience series in discrete mathematics…
- 1998

TLDR

Self-regular functions and new search directions for linear and semidefinite optimization

- Jiming Peng, Kees Roos, T. Terlaky
- Mathematics, Computer Science
- Math. Program.
- 1 June 2002

Abstract.In this paper, we introduce the notion of a self-regular function. Such a function is strongly convex and smooth coercive on its domain, the positive real axis. We show that any such… Expand

On maximization of quadratic form over intersection of ellipsoids with common center

- A. Nemirovski, Kees Roos, T. Terlaky
- Mathematics, Computer Science
- Math. Program.
- 1 December 1999

TLDR

Interior Point Methods for Nonlinear Optimization

- Imre Pólik, T. Terlaky
- Computer Science
- 2010

TLDR

Interior Point Methods for Linear Optimization

- C. Roos, T. Terlaky, J. Vial
- Mathematics
- 7 September 2005

List of figures.- List of tables.- Preface.- Acknowledgements.- Introduction.- I. Introdcution: Theory and Complexity.- Duality Theory for Linear Optimization.- A Polynomial Algorithm for the… Expand

Sensitivity analysis in linear programming: just be careful!

- B. Jansen, J. Jong, C. Roos, T. Terlaky
- Mathematics
- 16 August 1997

In this paper we review the topic of sensitivity analysis in linear programming. We describe the problems that may occur when using standard software and advocate a framework for performing complete… Expand

The Optimal Set and Optimal Partition Approach to Linear and Quadratic Programming

- Arjan Berkelaar, Kees Roos, T. Terlaky
- Mathematics
- 1996

In this chapter we describe the optimal set approach for sensitivity analysis for LP. We show that optimal partitions and optimal sets remain constant between two consecutive transition-points of the… Expand

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