Linear algebra /
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| 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. |
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| LEADER | 04022cam a22003015a 4500 | ||
|---|---|---|---|
| 001 | MAT.inmabb003046 | ||
| 008 | 721115s1971####nyu######b####000#0#eng## | ||
| 005 | 20150320160804.0 | ||
| 245 | 1 | 0 | |a Linear algebra / |c [compiled by] J. H. Wilkinson, C. Reinsch ; chief editor: F. L. Bauer. |
| 260 | |a New York : |b Springer-Verlag, |c 1971. | ||
| 300 | |a viii, 439 p. ; |c 24 cm. | ||
| 440 | 0 | |a Handbook for automatic computation ; |v v. 2 | |
| 490 | 1 | |a Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen ; |v Bd. 186 | |
| 504 | |a Incluye referencias bibliográficas. | ||
| 505 | 0 | |a 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. | |
| 505 | 0 | |a 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. | |
| 510 | 4 | |a MR, |c 57 #1840 | |
| 020 | |a 0387054146 | ||
| 020 | |a 3540054146 (Berlin) | ||
| 100 | 1 | |a Wilkinson, J. H. |q (James Hardy) | |
| 700 | 1 | |a Reinsch, C. |q (Christian H.) | |
| 700 | 1 | |a Bauer, Friedrich Ludwig, |d 1924- |4 edt | |
| 830 | 0 | |a Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete ; |v Bd. 186. | |
| 650 | 0 | |a Algebras, Linear |x Data processing. | |
| 084 | |a 65F |2 MR | ||
| 010 | |a 70163742 | ||
| 040 | |a DLC |c DLC |d DLC | ||
| 859 | |h 65 |i W686l |p A-4137 |b BIB. MATEMATICA | ||