Numerical linear algebra with applications : using MATLAB /

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Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, Numerical Linear Algebra with Applications contains all the material necessary for a first year graduate or advanced undergraduate course on numerical l...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ford, William H. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London ; San Diego, CA : Academic Press, 2015.
Edición:First edition.
Temas:
MATLAB.
Algebras, Linear.
Numerical calculations.
Algèbre linéaire.
Calculs numériques.
MATHEMATICS > Algebra > Intermediate.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • 1. Matrices
  • 2. Linear equations
  • 3. Subspaces
  • 4. Determinants
  • 5. Eigenvalues and eigenvectors
  • 6. Orthogonal vectors and matrices
  • 7. Vector and matrix norms
  • 8. Floating point arithmetic
  • 9. Algorithms
  • 10. Conditioning of problems and stability of algorithms
  • 11. Gaussian elimination and the LU decomposition
  • 12. Linear system applications
  • 13. Important special systems
  • 14. Gram-Schmidt orthonormalization
  • 15. The singular value decomposition
  • 16. Least-square problems
  • 17. Implementing the QR decomposition
  • 18. The algebraic eigenvalue problem
  • 19. The symmetric eigenvalue problem
  • 20. Basic iterative methods
  • 21. Krylov subspace methods
  • 22. Large sparse eigenvalue problems
  • 23. Computing the singular value decomposition
  • A. Complex numbers
  • B. Mathematical induction
  • C. Chebyshev polynominals.

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