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Abstract: On the Error Analysis and Implementation of Some Eigenvalue Decomposition and Singular Value Decomposition Algorithms by Huan Ren Doctor of Philosophy in Applied Mathematics University of California at Berkeley Professor James Demmel, Chair Many algorithms exist for computing the symmetric eigendecomposition, the singular value decomposition and the generalized singular value decomposition. In this thesis, we present several new algorithms and improvements on old algorithms, analyzing... (Update)
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BibTeX entry: (Update)
@techreport{ ren96error,
author = "H. Ren",
title = "On the Error Analysis and Implementation of Some Eigenvalue Decompositionand Singular Value Decomposition",
number = "UT-CS-96-336",
year = "1996",
url = "citeseer.ist.psu.edu/ren96error.html" }
Citations (may not include all citations):2441 Johns Hopkins University Press (context) - Golub, Van Loan - 1989
624 The Algebraic Eigenvalue Problem (context) - Wilkinson - 1965
532 LAPACK Users' Guide (context) - Anderson, Bai et al. - 1992
532 LAPACK Users' Guide (context) - Anderson, Bai et al. - 1995
441 The Symmetric Eigenvalue Problem (context) - Parlett - 1980
387 A set of Level 3 Basic Linear Algebra Subprograms (context) - Dongarra, Croz et al. - 1990
345 Basic Linear Algebra Subprograms for Fortran usage (context) - Lawson, Hanson et al. - 1979
222 The Theory of Matrices (context) - Gantmacher - 1959
176 Introduction to Matrix Computations (context) - Stewart - 1973
175 Matrix Eigensystem Routines -- EISPACK Guide (context) - Smith, Boyle et al. - 1976
133 IEEE Standard for Binary Floating Point Arithmetic (context) - IEEE, York - 1985
102 Jacobi's method is more accurate than QR - Demmel, Veseli'c - 1992
81 Accurate singular values of bidiagonal matrices - Demmel, Kahan - 1990
78 The theory of matrices in numerical analysis (context) - Householder - 1964
78 Computing accurate eigensystems of scaled diagonally dominan.. - Barlow, Demmel - 1990
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