Quaternion Generalized Inverses

Language: English

Published by Elsevier Inc Aug 2025, 2025

0443341451 / 9780443341458

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Neuware - 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.

Seller Inventory # 9780443341458

Title
Quaternion Generalized Inverses
Author
Ivan I Kyrchei
Publisher
Elsevier Inc Aug 2025
Publication year
2025
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0443341451
ISBN 13
9780443341458
Item weight
1,008 grams
Dimensions
235x191x30 mm

AHA-BUCH GmbH

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