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Książka The Least Square Solution to an Overdetermined System Takashi TAKIGUCHI

The Least Square Solution to an Overdetermined System

Theory and Applications

Autor: Takashi TAKIGUCHI
Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Oczekiwana premiera
Wydanie 22. 07. 2026
665.49 zł
This book addresses a gap in elementary linear algebra: while solving systems of linear equations wi...

Informacje o książce

Autor
Takashi TAKIGUCHI
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2026
strony
87
EAN
9789819200634
Enbook ID
51541555
Wydawca
Springer, Berlin
Wymiary
155 x 235

Pełny opis

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.