Differentiable Optimization and Equation Solving

"This book gives an overview of a resulting, dramatic reorganization that has occurred in one of these areas of mathematical programming and numerical computation: algorithmic differentiable optimization and equation solving, or more simply, algorithmic differentiable programming. The author provides a unified perspective and readable commentary on Karmarkar's algorithmic revolution, with special emphasis placed on the problems that form its foundation, namely, unconstrained minimization, solving nonlinear equations, unidimensional programming, and linear programming. The specific work discussed here derives mainly from the author's research in these areas during the post-Karmarkar period and is aimed at researchers in optimization and advanced graduate students. The reader is assumed to be familiar with advanced calculus, numerical analysis, and the fundamentals of computer science."--Book jacket.