Rounding errors in algebraic processes

By:

Wilkinson, James Hardy

Series: Classics in Applied Mathematics ; 89Publication details: Philadelphia: Society for Industrial and Applied Mathematics, 2023.Description: xiiil, 161 p.: pbk.: 22 cmISBN:

9781611977516

Subject(s):

DDC classification:

004.01512 WIL

Summary: 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. https://epubs.siam.org/doi/book/10.1137/1.9781611977523

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Item type	Current library	Collection	Call number	Copy number	Status	Barcode
Books	IIT Gandhinagar	General	004.01512 WIL (Browse shelf(Opens below))	1	Available	035847

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Includes Bibliographical References and Index

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.

https://epubs.siam.org/doi/book/10.1137/1.9781611977523

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