The Least Square Solution to an Overdetermined System: Theory and Applications - Couverture souple

Takiguchi, Takashi

Couverture souple

ISBN 10 : 9819200636 ISBN 13 : 9789819200634

Editeur : Springer Nature, 2026

Synopsis

This book addresses a gap in elementary linear algebra: while solving systems of linear equations with multiple solutions is standard, analyzing overdetermined systems with no solution―common in practical applications―is rarely taught. We develop a theory for such systems using the concept of least-squares solutions, grounded entirely in elementary linear algebra. Unlike approaches based on the Moore–Penrose inverse, which require advanced tools such as singular value decomposition, our method relies only on basic principles yet performs effectively in real-world contexts. Practical applications include non-destructive inspection of concrete structures, GNSS-based position detection, and the implementation of computerized tomography. Designed as a monograph for researchers and educators, this book can also serve as a graduate or advanced undergraduate textbook for students interested in applied mathematics. It is equally suitable for senior undergraduate research projects and for engineers seeking accessible mathematical tools for practical problems.

 

A propos du livre

À propos de l'auteur

Takashi Takiguchi is an associate professor at National Defense Academy of Japan. 

Détails de l'édition

• Éditeur: Springer Nature
• Date d'édition: 2026
• Langue: anglais
• ISBN 10: 9819200636
• ISBN 13: 9789819200634
• Reliure: Broché
• Nombre de pages: 97
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Allemagne