A Journey through the History of Numerical Linear Algebra [Brezinski]

[mklabgr]

A Journey through the History of Numerical Linear Algebra by Claude Brezinski, Gérard Meurant, and Michela Redivo-Zaglia is a comprehensive historical account of how numerical linear algebra developed from ancient mathematics to the modern computer era. The book traces the evolution of techniques for solving linear systems and eigenvalue problems, beginning with ancient elimination methods and the development of matrices and determinants, and continuing through matrix factorizations, iterative algorithms, and spectral methods. It emphasizes that mathematical techniques did not develop in isolation: their evolution was closely connected to the calculating devices available at each period.

A major theme is the transition from hand calculations and mechanical calculators to electronic computers, parallel computing, and sophisticated mathematical software. The authors examine how limitations of early machines influenced algorithm design and how software libraries eventually made numerical linear algebra broadly accessible. 

The 792-page volume also contains a substantial biographical component, with 78 biographies of important contributors, making it both a technical history and a history of the people and institutions behind numerical computation. Overall, it presents numerical linear algebra as a continuous interaction between mathematical ideas, algorithms, computational technology, and practical scientific needs.[/url]


[url=https://epubs.siam.org/doi/book/10.1137/1.9781611977233]BOOK