Rounding Errors in Algebraic Processes

James Hardy Wilkinson

Mei 2023 · Classics in Applied Mathematics Kitabu cha 89 · SIAM

Kitabu pepe

175

Kurasa

Kimetimiza masharti

Ukadiriaji na maoni hayajahakikishwa Pata Maelezo Zaidi

Kuhusu kitabu pepe hiki

"[This book] combines a rigorous mathematical analysis with a practicality that stems from an obvious first-hand contact with the actual numerical computation. The well-chosen examples alone show vividly both the importance of the study of rounding errors and the perils of its neglect." A. A. Grau, SIAM Review (1966)

Rounding Errors in Algebraic Processes was the first book to give systematic analyses of the effects of rounding errors on a variety of key computations involving polynomials and matrices.

A detailed analysis is given of the rounding errors made in the elementary arithmetic operations and inner products, for both floating-point arithmetic and fixed-point arithmetic. The results are then applied in the error analyses of a variety of computations involving polynomials as well as the solution of linear systems, matrix inversion, and eigenvalue computations.

The conditioning of these problems is investigated. The aim was to provide a unified method of treatment, and emphasis is placed on the underlying concepts.

This book is intended for mathematicians, computer scientists, those interested in the historical development of numerical analysis, and students in numerical analysis and numerical linear algebra.

Kadiria kitabu pepe hiki

Tupe maoni yako.

Kusoma maelezo

Simu mahiri na kompyuta vibao

Sakinisha programu ya Vitabu vya Google Play kwa ajili ya Android na iPad au iPhone. Itasawazishwa kiotomatiki kwenye akaunti yako na kukuruhusu usome vitabu mtandaoni au nje ya mtandao popote ulipo.

Kompyuta za kupakata na kompyuta

Unaweza kusikiliza vitabu vilivyonunuliwa kwenye Google Play wakati unatumia kivinjari cha kompyuta yako.

Visomaji pepe na vifaa vingine

Ili usome kwenye vifaa vya wino pepe kama vile visomaji vya vitabu pepe vya Kobo, utahitaji kupakua faili kisha ulihamishie kwenye kifaa chako. Fuatilia maagizo ya kina ya Kituo cha Usaidizi ili uhamishe faili kwenye visomaji vya vitabu pepe vinavyotumika.

Ripoti maudhui yanayokiuka sera