Linear algebra /
Guardado en:
| Autor Principal: | |
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| Otros Autores: | , |
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
New York :
Springer-Verlag,
1971.
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| Series: | Handbook for automatic computation ;
v. 2 Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete ; Bd. 186. |
| Materias: | |
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Tabla de Contenidos:
- Part I: Linear systems, least squares and linear programming: J. H. Wilkinson, Introduction to Part I
- R. S. Martin, G. Peters and J. H. Wilkinson, Symmetric decomposition of a positive definite matrix
- Martin, Peters and Wilkinson, Iterative refinement of the solution of a positive definite system of equations
- F. L. Bauer and C. Reinsch, Inversion of positive definite matrices by the Gauss-Jordan method
- Martin and Wilkinson, Symmetric decomposition of positive definite band matrices
- T. Ginsburg, The conjugate gradient method
- Martin and Wilkinson, Solution of symmetric and unsymmetric band equations and the calculation of eigenvectors of band matrices
- H. J. Bowdler, Martin, Peters and Wilkinson, Solution of real and complex systems of linear equations
- P. Businger and G. H. Golub, Linear least squares solutions by Householder transformations
- Bauer, Elimination with weighted row combinations for solving linear equations and least squares problems
- Golub and Reinsch, Singular value decomposition and least squares solutions
- R. H. Bartels, J. Stoer and Ch. Zenger, A realization of the simplex method based on triangular decompositions.
- Part II: The algebraic eigenvalue problem: Wilkinson, Introduction to Part II
- H. Rutishauser, The Jacobi method for real symmetric matrices
- Martin, Reinsch and Wilkinson, Householder's tridiagonalization of a symmetric matrix
- H. Bowdler, Martin, Reinsch and Wilkinson, The $QR$ and $QL$ algorithms for symmetric matrices
- A. Dubrulle, Martin and Wilkinson, The implicit $QL$ algorithm
- W. Barth, Martin, and Wilkinson, Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection
- Reinsch and Bauer, Rational $QR$ transformation with Newton shift for symmetric tridiagonal matrices
- Martin, Reinsch and Wilkinson, The $QR$ algorithm for band symmetric matrices
- H. R. Schwarz, Tridiagonalization of a symmetric band matrix
- Rutishauser, Simultaneous iteration method for symmetric matrices
- Martin and Wilkinson, Reduction of the symmetric eigenproblem $Ax= lambda Bx$ and related problems to standard form
- B. N. Parlett and Reinsch, Balancing a matrix for calculation of eigenvalues and eigenvectors
- P. J. Eberlein and J. Boothroyd, Solution to the eigenproblem by a norm reducing Jacobi type method
- Martin and Wilkinson, Similarity reduction of a general matrix to Hessenberg form
- Martin, Peters and Wilkinson, The $QR$ algorithm for real Hessenberg matrices
- Peters and Wilkinson, Eigenvectors of real and complex matrices by $LR$ and $QR$ triangularizations
- Martin and Wilkinson, The modified $LR$ algorithm for complex Hessenberg matrices
- Eberlein, Solution to the complex eigenproblem by a norm reducing Jacobi type method
- Peters and Wilkinson, The calculation of specified eigenvectors by inverse iteration.