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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,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rodman, L. (Autor)
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.