The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics Classic Reprint
Percy Deift
ISBN 10: 1334196907 ISBN 13: 9781334196904
Published by Forgotten Books, 2018
New
PAP
From
PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
AbeBooks Seller since April 7, 2005
This specific item is no longer available.
About this Item
Description:
New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781334196904
Synopsis:
Understanding how precision and structure shape fast, reliable SVD computations This book explains how focusing on bidiagonal matrices yields much higher accuracy in singular value computations and how a Hamiltonian flow underpins a stable algorithm.
The work frames a practical problem: computing singular values and vectors with high relative accuracy, even when data are imperfect. It connects theory to algorithm design, showing how a zero-shift QR approach and careful stopping criteria preserve essential structure and minimize error growth. Readers will see how mathematical insights translate into robust numerical methods with real-world impact.
- How relative, not absolute, perturbations affect singular values and vectors in bidiagonal matrices
- How a Hamiltonian differential equation helps analyze and bound rounding errors
- How a hybrid QR algorithm achieves high accuracy while staying fast
- How to interpret algorithm behavior through a structured, tree-based error analysis
Ideal for readers of technical math and numerical analysis, this edition is a practical guide to understanding the limits and capabilities of modern SVD algorithms. It is especially relevant for anyone applying eigenvalue or singular value methods to large or delicate problems.
"About this title" may belong to another edition of this title.
Bibliographic Details
Title: The Bidiagonal Singular Value Decomposition ...
Publisher: Forgotten Books
Publication Date: 2018
Binding: PAP
Condition: New