http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
1 online resource (412 pages) : 108 illustrations.
For students in industrial and systems engineering (ISE) and operations research (OR) to understand optimization at an advanced level, they must first grasp the analysis of algorithms, computational complexity, and other concepts and modern developments in numerical methods. Satisfying this prerequisite, Numerical Methods and Optimization: An Introduction combines the materials from introductory numerical methods and introductory optimization courses into a single text. This classroom-tested approach enriches a standard numerical methods syllabus with optional chapters on numerical optimization and provides a valuable numerical methods background for students taking an introductory OR or optimization course.
part I Basics -- chapter 1 Preliminaries -- chapter 2 Numbers and Errors -- part II Numerical Methods for Standard Problems -- chapter 3 Elements of Numerical Linear Algebra -- chapter 4 Solving Equations -- chapter 5 Polynomial Interpolation -- chapter 6 Numerical Integration -- chapter 7 Numerical Solution of Differential Equations -- part III Introduction to Optimization -- chapter 8 Basic Concepts -- chapter 9 Complexity Issues -- chapter 10 Introduction to Linear Programming -- chapter 11 The Simplex Method for Linear Programming -- chapter 12 Duality and Sensitivity Analysis in Linear Programming -- chapter 13 Unconstrained Optimization -- chapter 14 Constrained Optimization.
by Sergiy Butenko and Panos M. Pardalos.
TECHNOLOGY & ENGINEERING / Operations Research
Chapman & Hall/CRC numerical analysis and scientific computing series