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Mathematics - Computational Science & Engineering | Differentiable Optimization and Equation Solving - A Treatise on Algorithmic Science and the Karmarkar

Differentiable Optimization and Equation Solving

A Treatise on Algorithmic Science and the Karmarkar Revolution

Nazareth, John

2003, XVII, 256 p.

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In 1984, N. Karmarkar published a seminal paper on algorithmic linear programming. During the subsequent decade, it stimulated a huge outpouring of new algorithmic results by researchers world-wide in many areas of mathematical programming and numerical computation. This book gives an overview of the resulting, dramatic reorganization that has occurred in one of these areas: algorithmic differentiable optimization and equation-solving, or, more simply, algorithmic differentiable programming. The book is aimed at readers familiar with advanced calculus, numerical analysis, in particular numerical linear algebra, the theory and algorithms of linear and nonlinear programming, and the fundamentals of computer science, in particular, computer programming and the basic models of computation and complexity theory.

"Very fine monograph...filled with great insights."

-Joseph F. Traub, Columbia University

Content Level » Research

Keywords » algorithms - complexity - linear algebra - linear optimization - nonlinear optimization - optimization

Related subjects » Applications - Computational Science & Engineering - Mathematics

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