Self-Regularity: A New Paradigm for Primal-Dual Interior-Point Algorithms

By Jiming Peng; Cornelis Roos et al. | Go to book overview

Acknowledgments

In the preparation of this monograph we greatly appreciated the support and stimulating discussions with many colleagues from all over the world.

First, we are indebted to Akiko Yoshise (University of Tsukuba, Japan) who made invaluable contributions to chapter 4 of this work. Our joint work resulted in some joint publications in this area.

Special thanks are due to those colleagues who helped us to clean the manuscript and to improve the presentation. Michael Saunders (Stanford University, USA), as always, made an extremely careful reading of an earlier version of the manuscript and provided us with countless corrections and suggestions for improvement. Jaános Mayer (University of Zuürich, Switzerland) gave numerous remarks and suggestions after a critical reading of large parts of the first draft of the monograph. Florian Jarre (University of Duüsseldorf), Francois Glineur (Faculté Polytechnique de Mous, Belgium) and Florian Potra (University of Maryland) also gave us invaluable comments to improve the monograph. We kindly acknowledge the stimulating and encouraging discussions with Yurii Nesterov (CORE, C.U. Louvain-laNeuve), Arkadii Nemirovskii (TECHNION, Haifa), Erling Andersen (EKA Consulting, Copenhagen) about various aspects of the self-regular paradigm. Their generous help is acknowledged here. In spite of our efforts and the invaluable support of our colleagues some typos might still remain in the monograph. The authors are solely responsible for all remaining errors.

We are also indebted to David Ireland of Princeton University Press for his continuing support while preparing the manuscript.

Developing a novel theory and writing a research monograph is a very timeconsuming task: we want to thank our universities: McMaster University, Hamilton, Ontario, Canada and the Delft University of Technology, The Netherlands for giving us the opportunity to do this job.

The research of the first two authors was mainly supported by the project High Performance Methods for Mathematical Optimization, under the Dutch SWON grant 613-304-200. They are grateful for the support of the Faculty of Information Technology and Systems at Delft University of Technology, The Netherlands. Most of this work was done when the first author was visiting the third author in the Department of Computing and Software, McMaster

-ix-

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