Possibilistic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem

M Inuiguchi, J Ramı́k - Fuzzy sets and systems, 2000 - Elsevier
In this paper, we review some fuzzy linear programming methods and techniques from a
practical point of view. In the first part, the general history and the approach of fuzzy …

The interior-point revolution in optimization: history, recent developments, and lasting consequences

M Wright - Bulletin of the American mathematical society, 2005 - ams.org
Interior methods are a pervasive feature of the optimization landscape today, but it was not
always so. Although interior-point techniques, primarily in the form of barrier methods, were …

[書籍][B] Introduction to algorithms

TH Cormen, CE Leiserson, RL Rivest, C Stein - 2022 - books.google.com
A comprehensive update of the leading algorithms text, with new material on matchings in
bipartite graphs, online algorithms, machine learning, and other topics. Some books on …

[書籍][B] Numerical optimization: theoretical and practical aspects

JF Bonnans, JC Gilbert, C Lemaréchal… - 2006 - books.google.com
Just as in its 1st edition, this book starts with illustrations of the ubiquitous character of
optimization, and describes numerical algorithms in a tutorial way. It covers fundamental …

[書籍][B] Scientific computing: an introductory survey, revised second edition

MT Heath - 2018 - SIAM
This book presents a broad overview of numerical methods for students and professionals in
computationally oriented disciplines who need to solve mathematical problems. It differs …

[HTML][HTML] Interior-point methods

FA Potra, SJ Wright - Journal of computational and applied mathematics, 2000 - Elsevier
The modern era of interior-point methods dates to 1984, when Karmarkar proposed his
algorithm for linear programming. In the years since then, algorithms and software for linear …

Interior point methods 25 years later

J Gondzio - European Journal of Operational Research, 2012 - Elsevier
Interior point methods for optimization have been around for more than 25 years now. Their
presence has shaken up the field of optimization. Interior point methods for linear and …

Interior point methods in semidefinite programming with applications to combinatorial optimization

F Alizadeh - SIAM journal on Optimization, 1995 - SIAM
This paper studies the semidefinite programming SDP problem, ie, the optimization problem
of a linear function of a symmetric matrix subject to linear equality constraints and the …

[書籍][B] Interior point algorithms: theory and analysis

Y Ye - 2011 - books.google.com
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 …

[PDF][PDF] Introduction to algorithms

H Thomas - 2009 - diglib.globalcollege.edu.et
Before there were computers, there were algorithms. But now that there are computers, there
are even more algorithms, and algorithms lie at the heart of computing. This book provides a …