Practical Optimization: Algorithms and Engineering ApplicationsPractical Optimization: Algorithms and Engineering Applications provides a handson treatment of the subject of optimization. A comprehensive set of problems and exercises makes the book suitable for use in one or two semesters of a firstyear graduate course or an advanced undergraduate course. Each half of the book contains a full semester’s worth of complimentary yet standalone material. The practical orientation of the topics chosen and a wealth of useful examples also make the book suitable as a reference work for practitioners in the field. Advancements in the efficiency of digital computers and the evolution of reliable software for numerical computation during the past three decades have led to a rapid growth in the theory, methods, and algorithms of numerical optimization. This body of knowledge has motivated widespread applications of optimization methods in many disciplines, e.g., engineering, business, and science, and has subsequently led to problem solutions that were considered intractable not too long ago. Key Features:

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Contents
BASIC PRINCIPLES  27 
GENERAL PROPERTIES OF ALGORITHMS 65  64 
ONEDIMENSIONAL OPTIMIZATION  81 
CONJUGATEDIRECTION METHODS  145 
QUASINEWTON METHODS  175 
FUNDAMENTALS OF CONSTRAINED OPTIMIZATION  265 
THE SIMPLEX METHOD 321  320 
LINEAR PROGRAMMING PART  369 
SingularValue Decomposition  606 
Orthogonal Projections  609 
Householder Transformations and Givens Rotations  610 
QR Decomposition  616 
Cholesky Decomposition  619 
Kronecker Product  621 
Vector Spaces of Symmetric Matrices  623 
Polygon Polyhedron Polytope and Convex Hull  626 
QUADRATIC AND CONVEX PROGRAMMING  407 
SEMIDEFINITE AND SECONDORDER CONE  449 
GENERAL NONLINEAR OPTIMIZATION PROBLEMS  501 
APPLICATIONS OF CONSTRAINED OPTIMIZATION 533  532 
Appendices  591 
Linear Independence and Basis of a Span  592 
Range Null Space and Rank  593 
ShermanMorrison Formula  595 
Eigenvalues and Eigenvectors  596 
A6 Symmetric Matrices  598 
Trace  602 
Other editions  View all
Practical Optimization: Algorithms and Engineering Applications Andreas Antoniou,WuSheng Lu Limited preview  2007 
Practical Optimization: Algorithms and Engineering Applications Andreas Antoniou,WuSheng Lu No preview available  2010 