Brezinski C. A Journey through the History of Numerical Linear Algebra 2022

Textbook in PDF format

This expansive volume describes the history of numerical methods proposed for solving linear algebra problems, from antiquity to the present day. The authors focus on methods for linear systems of equations and eigenvalue problems and describe the interplay between numerical methods and the computing tools available at the time. The second part of the book consists of 78 biographies of important contributors to the field. A Journey through the History of Numerical Linear Algebra will be of special interest to applied mathematicians, especially researchers in numerical linear algebra, people involved in scientific computing, and historians of mathematics.
Introduction.
History
Matrices and their properties.
Elimination methods for linear systems.
Determinants.
Matrix factorizations and canonical forms.
Iterative methods for linear systems.
Eigenvalues and eigenvectors.
Computing machines.
Software for numerical linear algebra.
Miscellaneous topics.
Biographies
Lives and works.
Bibliography
Name index
Subject index
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