Articoli correlati a The Bidiagonal Singular Value Decomposition and Hamiltonian...
Sinossi
Excerpt from The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics
In summary, absolute uncertainties in the entries of a general matrix A yield absolute error bounds on its singular values, and error bounds depending on the absolute gap for its singular vectors. In contrast, relative uncertainties in the entries of a bidiagonal matrix B yield relative error bounds on its singular values, and error bounds depending on the relative gap for its singular vectors.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
- EditoreForgotten Books
- Data di pubblicazione2018
- ISBN 10 1334196907
- ISBN 13 9781334196904
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine79
- Contatto del produttorenon disponibile
Compra nuovo
Visualizza questo articolo
EUR 20,31
EUR 1,97 per la spedizione da U.S.A. a Italia
Destinazione, tempi e costi
Risultati della ricerca per The Bidiagonal Singular Value Decomposition and Hamiltonian...
Foto dell'editore
The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics Classic Reprint
Da: PBShop.store US, Wood Dale, IL, U.S.A.
Valutazione del venditore 5 su 5 stelle
PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LX-9781334196904
Quantità: 15 disponibili
Foto dell'editore
The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics Classic Reprint
Da: PBShop.store UK, Fairford, GLOS, Regno Unito
Valutazione del venditore 4 su 5 stelle
PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LX-9781334196904
Quantità: 15 disponibili
Immagini fornite dal venditore
The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics
Print on DemandDa: Forgotten Books, London, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: New. Print on Demand. This book delves into the complex world of singular value decomposition (SVD), a fundamental mathematical operation used to analyze matrices. It examines the process of computing the SVD of a bidiagonal matrix, a specific type of matrix that arises in various applications, including the SVD of general matrices and the eigenproblem of symmetric tridiagonal matrices. The author's exploration of this topic builds upon existing research in the field, particularly the work of Demmel and Kahan, and presents new insights regarding the accuracy of SVD computations. The book's core theme revolves around demonstrating that SVD calculations on bidiagonal matrices can achieve significantly higher accuracy than those performed on general matrices. This unexpected result stems from the nature of bidiagonal matrices, where relative errors in the entries lead to relative errors in the singular values, unlike in general matrices where absolute errors are dominant. Furthermore, the book introduces a novel Hamiltonian approach to analyze the algorithm used for SVD calculations. This approach, drawing upon the concepts of Hamiltonian mechanics, reveals a deeper understanding of how errors propagate during the computation process. The book's exploration of Hamiltonian mechanics and its application to the SVD algorithm offers a new paradigm for developing high-accuracy algorithms for solving other eigenvalue problems. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781334196904_0
Quantità: Più di 20 disponibili