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Handbook for Automatic Computation
other
Author(s):
J. H. Wilkinson
,
C. Reinsch
Editor(s):
F. L. Bauer
,
A. S. Householder
,
F. W. J. Olver
,
H. Rutishauser
,
K. Samelson
,
E. Stiefel
Publication date
(Print):
1971
Publisher:
Springer Berlin Heidelberg
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Amsterdam University Press Books
Author and book information
Book
ISBN (Print):
978-3-642-86942-6
ISBN (Electronic):
978-3-642-86940-2
Publication date (Print):
1971
DOI:
10.1007/978-3-642-86940-2
SO-VID:
626c1b31-7423-4064-840e-9f1e7634fa5a
License:
http://www.springer.com/tdm
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Book chapters
pp. 9
Symmetric Decomposition of a Positive Definite Matrix
pp. 31
Iterative Refinement of the Solution of a Positive Definite System of Equations
pp. 45
Inversion of Positive Definite Matrices by the Gauss-Jordan Method
pp. 50
Symmetric Decomposition of Positive Definite Band Matrices
pp. 57
The Conjugate Gradient Method
pp. 70
Solution of Symmetric and Unsymmetric Band Equations and the Calculations of Eigenvectors of Band Matrices
pp. 93
Solution of Real and Complex Systems of Linear Equations
pp. 111
Linear Least Squares Solutions by Housholder Transformations
pp. 119
Elimination with Weighted Row Combinations for Solving Linear Equations and Least Squares Problems
pp. 134
Singular Value Decomposition and Least Squares Solutions
pp. 152
A Realization of the Simplex Method Based on Triangular Decompositions
pp. 202
The Jacobi Method for Real Symmetric Matrices
pp. 212
Householder’s Tridiagonalization of a Symmetric Matrix
pp. 227
The QR and QL Algorithms for Symmetric Matrices
pp. 241
The Implicit QL Algorithm
pp. 249
Calculation of the Eigenvalues of a Symmetric Tridiagonal Matrix by the Method of Bisection
pp. 257
Rational QR Transformation with Newton Shift for Symmetric Tridiagonal Matrices
pp. 266
The Q R Algorithm for Band Symmetric Matrices
pp. 273
Tridiagonalization of a Symmetric Band Matrix
pp. 284
Simultaneous Iteration Method for Symmetric Matrices
pp. 303
Reduction of the Symmetric Eigenproblem Ax=λB x and Related Problems to Standard Form
pp. 315
Balancing a Matrix for Calculation of Eigenvalues and Eigenvectors
pp. 327
Solution to the Eigenproblem by a Norm Reducing Jacobi Type Method
pp. 339
Similarity Reduction of a General Matrix to Hessenberg Form
pp. 359
The QR Algorithm for Real Hessenberg Matrices
pp. 372
Eigenvectors of Real and Complex Matrices by LR and QR triangularizations
pp. 396
The Modified LR Algorithm for Complex Hessenberg Matrices
pp. 404
Solution to the Complex Eigenproblem by a Norm Reducing Jacobi Type Method
pp. 418
The Calculation of Specified Eigenvectors by Inverse Iteration
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