Numerical Linear Algebra with Julia

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Numerical Linear Algebra with Julia provides in-depth coverage of fundamental topics in numerical linear algebra, including how to solve dense and sparse linear systems, compute QR factorizations, compute the eigendecomposition of a matrix, and solve linear systems using iterative methods such as conjugate gradient. Julia code is provided to illustrate concepts and allow readers to explore methods on their own.

Author(s): Eric Darve and Mary Wootters
Edition: 1
Publisher: SIAM
Year: 2021

Language: English
Pages: 420
City: Philadelphia

Getting started with Julia
1

Linear algebra bootcamp
7

Linear systems and the basics of floatingpoint arithmetic
65

OR factorization
121

Eigenvalues and eigenvectors
149

Eigenvalue computation for sparse matrices
213

Classical iterations to solve linear systems
235

Krylov methods to solve linear systems
265

A taste of direct methods to solve sparse linear systems
327

Julia essentials
363

Bibliography
395

Index
403

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