Advanced Linear Algebra: Foundations to Frontiers by Robert Geijn
Advanced Linear Algebra: Foundations to Frontiers - Table of Contents
0. Getting Started
Part-I Orthogonality
1. Norms
2. The Singular Value Decomposition
3. The QR Decomposition
4. Linear Least Squares
Part-II Solving Linear Systems
5. The LU and Cholesky Factorizations
6. Numerical Stability
7. Solving Sparse Linear Systems
8. Descent Methods
Part-III The Algebraic Eigenvalue Problem
9. Eigenvalues and Eigenvectors
10. Practical Solution of the Hermitian Eigenvalue Problem
11. Computing the SVD
12. Attaining High Performance
What You Will Learn in Advanced Linear Algebra: Foundations to Frontiers
The textbook Advanced Linear Algebra: Foundations to Frontiers by Robert Geijn, Margaret Myers is a modern graduate level resource that combines text, video lectures, hands-on exercises, and programming tasks to make learning numerical linear algebra engaging and practical. It focus on numerical linear algebra, the study of how theory, algorithms, and computer arithmetic interact.
This book is the bridges theory and practice by combining short videos, programming exercises, and written text to teach advanced topics in numerical linear algebra. The content is structured into three main parts—orthogonality (including Singular Value Decomposition and least squares), solving linear systems (highlighting error and stability), and eigenvalues/eigenvectors, offering you both understanding and useful computational skills.
Book Details & Specifications
Title:
Advanced Linear Algebra: Foundations to Frontiers by Robert Geijn
Publisher:
University of Texas
Year:
2022
Pages:
643
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
CC BY-SA 2.5
Amazon:
Amazon
About the Author: Robert van de Geijn
The author
Robert van de Geijn
is a retired professor who worked at the University of Texas at Austin. He is an expert in math and computer science, especially in the area of linear algebra and fast computing. His work connects math ideas with how to write computer programs to solve problems.
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