Linear Algebra for Localization

Algorithms, Use Cases, and C++ Implementations
1. Auflage 2026
ISBN: 978-1-041-07334-5
Verlag: CRC Press

Buch, Englisch, 128 Seiten, Format (B × H): 138 mm x 216 mm

Linear Algebra for Localization emphasises the vital role of linear algebraic models in solving localization problems, as well as many other problems in algorithms, data science, and Artificial Intelligence. Localization has multi-industrial applications, which this book attempts to address through linear algebraic approaches while using the dominant C++ programming language in those industries.

Features

- Provides clear, illustrative descriptions of the main linear algebra topics and advanced algorithms in localization problems.

- C++ implementations available via associated GitHub repository, including detailed explanations, flowcharts, UML diagrams and text, and code runs output.

- Case study by the author for an advanced topics in automotive application.

Zielgruppe

Postgraduate and Undergraduate Advanced

Autoren/Hrsg.

Al-Muraeb, Ahmed

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preface Acronyms and Abbreviations Chapter 0 Introduction Chapter 1 Basic Matrix Operations Chapter 2 Special Matrices Chapter 3 Orthogonal Transformations Chapter 4 Matrix Factorization Chapter 5 Orthogonal Projections and Psudoinverse Chapter 6 Covariance Chapter 7 Singular Value Decomposition Chapter 8 Jacobian, Hessian, and Gradient Chapter 9 Fisher Information Matrix and the Cramér-Rao Lower Bound Chapter 10 Matrix Block Operations and Matrix Kernel Appendix A C++ Resources, Code Build, Code Run, and Code Debug Appendix B Case Study: Effect of Reference Points Locations on Cramér-Rao Lower Bound for Arbitrary Position Estimators

Über Autor(innen)

Ahmed Al-Muraeb is an Electrical Engineer with ~ 2 decades of multi-industrial and academic experience, with Ph.D. (Oakland University, MI, US in 2016) and M.Sc. (University of Baghdad, Baghdad, Iraq in 2004) degrees. His industrial experience spanned Cellular RF Networks operation, maintenance, system admin, and database; Cellular Value Added Services configuration, operations, and admin; and Automotive ADAS/AD features development and testing as well as hardware components validation, with 30+ certifications and trainings. Ahmed’s ADAS/AD experience includes Localization solutions, since 2020 and continuing. His academic experience comprises teaching (in Michigan, US: Wayne State University, and Oakland University), and research (in Lasers and Photonics), with publications (2 dissertations, 6 journal and conference papers) and awards (8 grants and awards).

In addition to his industrial and academic achievements, Ahmed is passionate about sharing his knowledge in the clearest, most comprehensive, and accurate form; and making complex topics accessible to a broader audience. In his free time, Ahmed enjoys making art; reading; hiking; watching documentaries, movies, and shows; and listening to music.