Differentiable Optimization and Equation Solving A Treatise on Algorithmic Science and the Karmarkar Revolution
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 th...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2003, 2003
|
| Edition: | 1st ed. 2003 |
| Series: | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Foundations
- The Karmarkar Revolution
- The Newton-Cauchy Method
- Euler-Newton and Lagrange-NC Methods
- Lessons from One Dimension
- A Misleading Paradigm
- CG and the Line Search
- Gilding the Nelder—Mead Lily
- Choosing the Right Diagonal Scale
- Historical Parallels
- LP from the Newton-Cauchy Perspective
- Diagonal Metrics and the QC Method
- Linear Programming Post-Karmarkar
- LP from the Euler-Newton Perspective
- Log-Barrier Transformations
- Karmarkar Potentials and Algorithms
- Algorithmic Science
- Algorithmic Principles
- Multialgorithms: A New Paradigm
- An Emerging Discipline