Quaternion Generalized Inverses: Foundations, Theory, Problems, and Solutions

Author:   Ivan I. Kyrchei (Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS, Ukraine)
Publisher:   Elsevier Science Publishing Co Inc
ISBN:  

9780443341458


Pages:   592
Publication Date:   04 August 2025
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Quaternion Generalized Inverses: Foundations, Theory, Problems, and Solutions


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Quaternionic Generalized Inverses: Foundations, Theory, Problems, and Solutions

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Author:   Ivan I. Kyrchei (Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS, Ukraine)
Publisher:   Elsevier Science Publishing Co Inc
Imprint:   Academic Press Inc
Weight:   1.210kg
ISBN:  

9780443341458


ISBN 10:   0443341451
Pages:   592
Publication Date:   04 August 2025
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Preliminaries on Quaternion Matrices 2. Ordinary differential equations and recurrence relations 3. Systems of differential equations and discrete analogies 4. Integration for advanced calculus models 5. Partial differential equations and applications 6. Approximation Problems and Constrained Solutions to Quaternion Two-Sided Matrix Equations

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Author Information

Ivan I. Kyrchei is a leading researcher at the Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS, Ukraine. In 2008, he completed his PhD at the Taras Shevchenko National University (Kyiv, Ukraine). His dissertation developed the theory of column-row determinants of matrices over quaternion algebras, which are a generalization of Moore's determinant, previously introduced only for Hermitian matrices. These scientific interests have led to academic publications in about 100 scientific works and SCI papers, among them, Applied Mathematics and Computation, Linear Algebra and its Applications, Linear and Multilinear Algebra, Discrete Mathematics, Advances in Applied Clifford Algebras, and the Journal of Mathematical Analysis and Applications.

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