Topics in quaternion linear algebra / Leiba Rodman.
Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic,...
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| Online Access: |
Full Text (via ProQuest) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Princeton :
Princeton University Press,
[2014]
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| Series: | Princeton series in applied mathematics.
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| Subjects: |
Table of Contents:
- Introduction
- The algebra of quaternions
- Vector spaces and matrices: basic theory
- Symmetric matrices and congruence
- Invariant subspaces and Jordan form
- Invariant neutral and semidefinite subspaces
- Smith form and Kronecker canonical from
- Pencils of hermitian matrices
- Skewhermitian and mixed pencils
- Indefinite inner products: conjugation
- Matrix pencils with symmetries: nonstandard involution
- Mixed matrix pencils: nonstandard involutions
- Indefinite inner products: nonstandard involution
- Matrix equations
- Appendix: real and complex canonical forms.