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| List of figures List of tables Preface Acknowledgements 1 Introduction Ⅰ. Introdcution： Theory and Complexity 2 Duality Theory for Linear Optimization 3 A Polynomial Algorithm for the Self-dual Model 4 Solving the Canonical Problem Ⅱ. The Logatithmic Barrier Approach 5 Preliminaries 6 The Dual Logarithmic Barrier Method 7 The Primal-Dual Logarithmic Barrier Method 8 Initialization Ⅲ. The Target-Following Approach 9 Preliminaries 10 The Primal-Dual Newton Method 11 Applications 12 The Dual Newton Method 13 The Primal Newton Method 14 Application to the Method of Centers Ⅳ. Miscellaneous Topics 15 Karmarkar？s Projective Method 16 More Properties of the Central Path 17 Partial Updating 18 Higher-Order Methods 19 Parametric and Sensitivity Analysis 20 Implementing Interior Point Methods Appendices Bibliography Author Index Subject Index Symbol Index. |
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