Title: Implementation of the Schnabel and Eskow Modified Cholesky Factorization in the Context of a Truncated-Newton Optimization Method (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 0484824929
ISBN 13: 9780484824927
Binding: HRD
Condition: New
Weight: 278 grams

About this title

Synopsis

Understanding how a modified Cholesky factorization speeds up optimization

This guide presents practical insights into using a truncated-Newton method with a Schnabel–Eskow modified Cholesky factorization. It explains how different preconditioners and truncation strategies affect convergence and computational effort in real optimization problems.

The discussion centers on how these techniques shape the search for minima in challenging energy landscapes. It compares strategies that modify diagonals to keep the Hessian well behaved, and shows why some approaches work better in smaller problems while others scale more effectively as size grows. Throughout, the focus stays on clear, actionable results from numerical experiments.

How preconditioners influence iteration counts and stability in Newton and PCG steps.
What truncation means for convergence speed and robustness in convex versus nonconvex regions.
How problem structure, such as local versus nonlocal energy terms, changes performance across models.
Practical guidance for choosing between competing MCF variants in molecular and structural optimization tasks.

Ideal for readers who work with numerical optimization, Hessian-based methods, or chemistry-inspired models and want a clear sense of what to expect in real-world runs.

"About this title" may belong to another edition of this title.

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