Methane hydrate is an ice-like crystalline substance (gas clathrate) made of water molecules encasing a molecule of methane.
A ubiquitous example of the "snap to" structure in Adobe Photoshop occurs in floating-point arithmetic.
Fractures are the primary pathways for fluid flow in low-permeability subsurface media, such as shale or granite.
Current methods for characterizing Earth’s subsurface are not sufficiently accurate to meet the needs of modern applications.
Extreme events are unexpected, transient phenomena with large magnitudes that take place over short time scales.
The High-Performance Conjugate Gradients Benchmark complements the HPL Benchmark and is part of the TOP500 effort.
Simple ordinary differential equations can explain the surprisingly long range of a sling versus the surprisingly short range of a bullet.
In his talk at AN18, Thomas Hales will explain how some paradoxes play into self-verifying computer programs.
In his talk at AN18, Bill Symes will discuss our knowledge of Earth's interior and how it is an inverse problem.
Ernest Davis reviews Exact Thinking in Demented Times: The Vienna Circle and the Epic Quest for the Foundations of Science by Karl Sigmund.
At its 2018 Annual Meeting, the AAAS will sponsor a symposium on mathematical approaches to major challenges.
As most SIAM members are aware, science policy decisions greatly affect the state of scientific research.
2017 / x + 484 pages / Softcover / ISBN 978-1-611974-98-0 / List Price $97.00 / SIAM Member Price $67.90 / Order Code MO25
Keywords: nonlinear optimization; convex analysis; first order methods; decomposition methods ; scientific computing
The primary goal of this book is to provide a self-contained, comprehensive study of the main ﬁrst-order methods that are frequently used in solving large-scale problems. First-order methods exploit information on values and gradients/subgradients (but not Hessians) of the functions composing the model under consideration. With the increase in the number of applications that can be modeled as large or even huge-scale optimization problems, there has been a revived interest in using simple methods that require low iteration cost as well as low memory storage.
The author has gathered, reorganized, and synthesized (in a unified manner) many results that are currently scattered throughout the literature, many of which cannot be typically found in optimization books.
First-Order Methods in Optimization
This book is intended primarily for researchers and graduate students in mathematics, computer sciences, and electrical and other engineering departments. Readers with a background in advanced calculus and linear algebra, as well as prior knowledge in the fundamentals of optimization (some convex analysis, optimality conditions, and duality), will be best prepared for the material.
About the Author
Amir Beck is a Professor at the School of Mathematical Sciences, Tel-Aviv University. His research interests are in continuous optimization, including theory, algorithmic analysis, and its applications. He has published numerous papers and has given invited lectures at international conferences. He serves in the editorial board of several journals. His research has been supported by various funding agencies, including the Israel Science Foundation, the German-Israeli Foundation, the United States–Israel Binational Science Foundation, the Israeli Science and Energy ministries and the European Community.
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