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The digital edition of all books may be viewed on our website before purchase. Excerpt from Jacobi's Method Is More Accurate Than Qr
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- ÉditeurForgotten Books
- Date d'édition2024
- ISBN 10 1334268533
- ISBN 13 9781334268533
- ReliureBroché
- Langueanglais
- Nombre de pages65
- Coordonnées du fabricantnon disponible
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Jacobi's Method Is More Accurate Than Qr Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LX-9781334268533
Quantité disponible : 15 disponible(s)
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Jacobi's Method Is More Accurate Than Qr Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LX-9781334268533
Quantité disponible : 15 disponible(s)
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Jacobi's Method Is More Accurate Than Qr (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : New. Print on Demand. This book explores the effectiveness of Jacobi and QR methods in calculating eigenvalues and singular values. The author demonstrates that Jacobi methods yield higher accuracy than QR, and can attain optimal accuracy when componentwise relative uncertainties in the matrix entries are small. The book begins by introducing perturbation theory for eigenvalues and singular values, providing new insights into the sensitivity of these quantities to matrix perturbations. It then analyzes two-sided Jacobi for the symmetric positive definite eigenproblem, proving that it computes eigenvalues with near-optimal accuracy. The author also discusses one-sided Jacobi for the singular value decomposition, showing that it achieves similar accuracy. The book's significance lies in its rigorous mathematical analysis of Jacobi methods, providing a theoretical foundation for their effectiveness in practical computations. By clarifying the conditions under which Jacobi methods attain high accuracy, this book empowers researchers and practitioners to make informed choices when solving eigenvalue and singular value 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. N° de réf. du vendeur 9781334268533_0
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