Topics in quaternion linear algebra /
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,...
Clasificación: | Libro Electrónico |
---|---|
Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Princeton :
Princeton University Press,
[2014]
|
Colección: | Princeton series in applied mathematics.
|
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.