Erhältlich:
Nicht auf Lager
Buch (Softcover): Fachbuch
Quaternion Generalized Inverses
Foundations, Theory, Problems, and Solutions
Verlag:
Elsevier Unsere-Artikel-Nr.: P35895946
EAN: 9780443341458
Erhältlich:
Nicht auf Lager
Zustellung: Mi, 14.10.2026
Versand: Kostenlos
-19.2 %
CHF 146.–
CHF 118.–
Beschreibung
A cornerstone of linear algebra, the determinant's utility in real and complex fields is undeniable, though traditionally limited to invertibility, rank, and solving linear systems. Quaternion Generalized Inverses: Foundations, Theory, Problems, and Solutions ventures into uncharted territory: extending these concepts to linear algebra over the noncommutative quaternion skew field. The author's groundbreaking theory of "noncommutative" row-column determinants is central to this exploration, a significant advancement beyond the Moore determinant. This seven-chapter work thoroughly introduces the history of noncommutative determinants before delving into the author's theory and its application to inverse matrix computation and Cramer's rule for quaternion systems. The main portion of this work is dedicated to a comprehensive examination of quaternion generalized inverses, spanning the well-established Moore-Penrose and Drazin inverses to more recent developments such as core-EP and composite inverses. The book provides their definitions, properties, and, uniquely, their determinantal representations based on the author's noncommutative determinants. It culminates in demonstrating their powerful applications in solving a wide range of quaternion matrix equations, including Sylvester-type and constrained equations, as well as differential matrix equations.
Spezifikationen
Sprache
- Englisch
Autor
- Ivan I. Kyrchei
Erscheinungsjahr
- 2025
Format
- Buch (Softcover)