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Numerical Analysis and Optimization

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Cover of 'Numerical Analysis and Optimization'

Table of Contents

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    Book Overview
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    Chapter 1 A Conic Representation of the Convex Hull of Disjunctive Sets and Conic Cuts for Integer Second Order Cone Optimization
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    Chapter 2 Runge–Kutta Methods for Ordinary Differential Equations
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    Chapter 3 A Positive Barzilai–Borwein-Like Stepsize and an Extension for Symmetric Linear Systems
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    Chapter 4 Necessary Optimality Conditions for the Control of Partial Integro-Differential Equations
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    Chapter 5 The AMPL Modeling Language: An Aid to Formulating and Solving Optimization Problems
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    Chapter 6 An Interior-Point ℓ 1 $$\boldsymbol{\ell_{1}}$$ -Penalty Method for Nonlinear Optimization
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    Chapter 7 An ℓ 1 -Penalty Scheme for the Optimal Control of Elliptic Variational Inequalities
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    Chapter 8 Reduced Space Dynamics-Based Geo-Statistical Prior Sampling for Uncertainty Quantification of End Goal Decisions
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    Chapter 9 Solving Multiscale Linear Programs Using the Simplex Method in Quadruple Precision
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    Chapter 10 Real and Integer Extended Rank Reduction Formulas and Matrix Decompositions: A Review
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    Chapter 11 Distributed Block Coordinate Descent for Minimizing Partially Separable Functions
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    Chapter 12 Models for Optimization of Power Systems
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    Chapter 13 On Chubanov’s Method for Solving a Homogeneous Inequality System
Attention for Chapter 6: An Interior-Point ℓ 1 $$\boldsymbol{\ell_{1}}$$ -Penalty Method for Nonlinear Optimization
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