Numerical Linear Algebra with Julia

✍ Scribed by Eric Darve; Mary Wootters

Publisher: SIAM
Year: 2021
Tongue: English
Leaves: 421
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

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

📜 SIMILAR VOLUMES

Numerical Linear Algebra: A Concise Intr

📁 Numerical Linear Algebra: A Concise Introduction with MATLAB and Julia

✍ Folkmar Bornemann, Walter Simson 📂 Library 📅 2018 🏛 Springer 🌐 English

This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. The book highlights the usefulness of matrix partiti

Numerical Linear Algebra. A concise Intr

📁 Numerical Linear Algebra. A concise Introduction with MatLab and Julia

✍ Folkmar Bornemann 📂 Library 📅 2018 🏛 Springer 🌐 English

Numerical Linear Algebra: A Concise Intr

📁 Numerical Linear Algebra: A Concise Introduction with MATLAB and Julia

✍ Folkmar Bornemann (auth.) 📂 Library 📅 2018 🏛 Springer International Publishing 🌐 English

This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. The book highlights the usefulness of matrix part

Numerical Linear Algebra with Applicatio

📁 Numerical Linear Algebra with Applications: Using MATLAB

✍ William Ford 📂 Library 📅 2014 🏛 Academic Press 🌐 English

Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, Numerical Linear Algebra with Applications contains all the material necessary for a first year graduate or advanced undergraduate course on n

Numerical linear algebra with applicatio

📁 Numerical linear algebra with applications : using MATLAB

✍ William Ford 📂 Library 📅 2014 🏛 Academic Press, , Elsevier Inc 🌐 English

Numerical Linear Algebra

📁 Numerical Linear Algebra

✍ Lloyd N. Trefethen, David Bau III 📂 Library 📅 1997 🏛 SIAM: Society for Industrial and Applied Mathemati 🌐 English

Beautiful! Very simply, if you want to have an insight on linear algebraic procedures, and why this and that happens so and so, this is the book. Topic-wise, it is almost complete for a first treatment. Each chapter starts with a gentle introduction, building intuition and then gets into the formal