Jacobi's method is more accurate than QR

Jacobi's method is more accurate than QR

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by James Demmel , Kresimir Veselic

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96 - 12 self

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@MISC{Demmel_jacobi'smethod,
    author = {James Demmel and Kresimir Veselic},
    title = {Jacobi's method is more accurate than QR},
    year = {}
}

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Citations

1305	Perturbation theory for linear operators - Kato - 1985
640	The Symmetric Eigenvalue Problem - Parlett - 1998
93	Some stable methods for calculating inertia and solving symmetric linear systems - Bunch, Kaufman - 1977
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67	Condition numbers and equilibration of matrices - Sluis - 1969
43	for Floating Point Arithmetic - Standard
36	Analysis of the Cholesky decomposition of a semi-definite matrix - Higham - 1990
35	private communication - Baladin, Wang
17	The condition number of equivalence transformations that block diagonalize matrix pencils - Demmel - 1983
13	de Rijk, A one-sided Jacobi algorithm for computing the singular value decomposition on a vector computer - M - 1989
11	A.: Parallel Algorithms for the Singular Value Decomposition. In: Handbook on Parallel Computing and Statistics. Volume 184 of Statistics: A Series of Textbooks and Monographs - Berry, Mezher, et al. - 2006
9	On Jacobi methods for singular value decompositions - Hari, Veselić - 1987
6	A test matrix generation suite. Computer science dept. technical report, Courant - Demmel, McKenney - 1989
6	A method for computing the generalized singular value decomposition - STEWART - 1982
5	Condition numbers and equilibration of matrices,” Numerische Mathematik,vol.14,pp.14–23,1969 - Sluis
3	Upper bound for the condition of the scaled matrix of the symmetric eigenvalue problem - Slapnicar - 1990
1	On the forward instability of the QR transformation. Center for Pure and Applied Mathematics PAM-419 - Parlett - 1988
1	A Note on a One-Sided Jacobi Algorithm. Numerische Mathematik - Veseli'c, Hari - 1990