LEADER 05046nam 2200709 450 001 9910462743603321 005 20200520144314.0 010 $a1-118-52369-5 010 $a1-118-51515-3 035 $a(CKB)2670000000336669 035 $a(EBL)1124000 035 $a(OCoLC)813568119 035 $a(SSID)ssj0000833474 035 $a(PQKBManifestationID)11529299 035 $a(PQKBTitleCode)TC0000833474 035 $a(PQKBWorkID)10936678 035 $a(PQKB)10254656 035 $a(MiAaPQ)EBC1124000 035 $a(DLC) 2012042678 035 $a(JP-MeL)3000065407 035 $a(PPN)170611604 035 $a(Au-PeEL)EBL1124000 035 $a(CaPaEBR)ebr10895756 035 $a(CaONFJC)MIL629204 035 $a(EXLCZ)992670000000336669 100 $a20140804h20132013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 13$aAn introduction to optimization /$fEdwin K. P. Chong, Stanislaw H. Z?ak 205 $aFourth edition. 210 1$aHoboken, New Jersey :$cWiley,$d2013. 210 4$dİ2013 215 $a1 online resource (1007 p.) 225 1 $aWiley Series in Discrete Mathematics and Optimization 300 $aDescription based upon print version of record. 311 $a1-118-27901-8 320 $aIncludes bibliographical references and index. 327 $aCover; Half Title page; Title page; Copyright page; Dedication; Preface; Part I: Mathematical Review; Chapter 1: Methods of Proof and Some Notation; 1.1 Methods of Proof; 1.2 Notation; Exercises; Chapter 2: Vector Spaces and Matrices; 2.1 Vector and Matrix; 2.2 Rank of a Matrix; 2.3 Linear Equations; 2.4 Inner Products and Norms; Exercises; Chapter 3: Transformations; 3.1 Linear Transformations; 3.2 Eigenvalues and Eigenvectors; 3.3 Orthogonal Projections; 3.4 Quadratic Forms; 3.5 Matrix Norms; Exercises; Chapter 4: Concepts from Geometry; 4.1 Line Segments 327 $a4.2 Hyperplanes and Linear Varieties4.3 Convex Sets; 4.4 Neighborhoods; 4.5 Polytopes and Polyhedra; Exercises; Chapter 5: Elements of Calculus; 5.1 Sequences and Limits; 5.2 Differentiability; 5.3 The Derivative Matrix; 5.4 Differentiation Rules; 5.5 Level Sets and Gradients; 5.6 Taylor Series; Exercises; Part II: Unconstrained Optimization; Chapter 6: Basics of Set-Constrained and Unconstrained Optimization; 6.1 Introduction; 6.2 Conditions for Local Minimizers; Exercises; Chapter 7: One-Dimensional Search Methods; 7.1 Introduction; 7.2 Golden Section Search; 7.3 Fibonacci Method 327 $a7.4 Bisection Method7.5 Newton's Method; 7.6 Secant Method; 7.7 Bracketing; 7.8 Line Search in Multidimensional Optimization; Exercises; Chapter 8: Gradient Methods; 8.1 Introduction; 8.2 The Method of Steepest Descent; 8.3 Analysis of Gradient Methods; Exercises; Chapter 9: Newton's Method; 9.1 Introduction; 9.2 Analysis of Newton's Method; 9.3 Levenberg-Marquardt Modification; 9.4 Newton's Method for Nonlinear Least Squares; Exercises; Chapter 10: Conjugate Direction Methods; 10.1 Introduction; 10.2 The Conjugate Direction Algorithm; 10.3 The Conjugate Gradient Algorithm 327 $a10.4 The Conjugate Gradient Algorithm for Nonquadratic ProblemsExercises; Chapter 11: Quasi-Newton Methods; 11.1 Introduction; 11.2 Approximating the Inverse Hessian; 11.3 The Rank One Correction Formula; 11.4 The DFP Algorithm; 11.5 The BFGS Algorithm; Exercises; Chapter 12: Solving Linear Equations; 12.1 Least-Squares Analysis; 12.2 The Recursive Least-Squares Algorithm; 12.3 Solution to a Linear Equation with Minimum Norm; 12.4 Kaczmarz's Algorithm; 12.5 Solving Linear Equations in General; Exercises; Chapter 13: Unconstrained Optimization and Neural Networks; 13.1 Introduction 327 $a13.2 Single-Neuron Training13.3 The Backpropagation Algorithm; Exercises; Chapter 14: Global Search Algorithms; 14.1 Introduction; 14.2 The Nelder-Mead Simplex Algorithm; 14.3 Simulated Annealing; 14.4 Particle Swarm Optimization; 14.5 Genetic Algorithms; Exercises; Part III: Linear Programming; Chapter 15: Introduction to Linear Programming; 15.1 Brief History of Linear Programming; 15.2 Simple Examples of Linear Programs; 15.3 Two-Dimensional Linear Programs; 15.4 Convex Polyhedra and Linear Programming; 15.5 Standard Form Linear Programs; 15.6 Basic Solutions 327 $a15.7 Properties of Basic Solutions 330 $a"The purpose of the book is to give the reader a working knowledge of optimization theory and methods"--$cProvided by publisher. 410 0$aWiley series in discrete mathematics and optimization. 606 $aMathematical optimization 608 $aElectronic books. 615 0$aMathematical optimization. 676 $a519.6 686 $aMAT008000$2bisacsh 700 $aChong$b Edwin Kah Pin$0760515 702 $aZ?ak$b Stanislaw H. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910462743603321 996 $aIntroduction to optimization$91752532 997 $aUNINA