Jacobi's method is more accurate than QR

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by James Demmel , Kresimir Veselic
Citations:105 - 12 self

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21 Accurate Symmetric Eigenreduction By A Jacobi Method – Ivan Slapnicar, Erstgutachter Mentor, Prof Dr - 1992
des Fachbereichs Mathematik – A Jacobi Method, Ivan Slapni Čar
10 The CSD, GSVD, their Applications and Computations – Zhaojun Bai - 1992
2 Relative Perturbation Bounds for Invariant Subspaces of Indefinite Hermitian Matrices – Ninoslav Truhar, Ivan Slapnicar - 1997
1 Relative Perturbation Bound for Invariant Subspaces of Hermitian Matrix – Ninoslav Truhar, Ivan Slapnicar - 1998
5 Relative Perturbation Bound for Invariant Subspaces of Graded Indefinite Hermitian Matrices – Ninoslav Truhar, Ivan Slapnicar - 1999
13 Componentwise Analysis of Direct Factorization of Real Symmetric and Hermitian Matrices – Ivan Slapnicar - 1993
22 Floating-point perturbations of Hermitian matrices – Kresimir Veselic, Ivan Slapnicar - 1995
25 The bidiagonal singular values decomposition and Hamiltonian mechanics – Percy Deift, James Demmel, Chau Li, Carlos Tomei - 1991
Accurate Computation of Singular Values and Eigenvalues of Symmetric Matrices – Ivan Slapnicar - 1997
55 Computing the Singular Value Decomposition with High Relative Accuracy – James Demmel, Ming Gu, Stanley Eisenstat, Ivan Slapnicar, Kresimir Veselic, Zlatko Drmac - 1997
2 On the error analysis and implementation of some eigenvalue decomposition and singular value decomposition algorithms – Huan Ren - 1996
19 Computing the Generalized Singular Value Decomposition – Zhaojun Bai, James W. Demmel - 1991
1 Recent Developments in Dense Numerical Linear Algebra – Nicholas J. Higham - 1997
9 The inherent inaccuracy of implicit tridiagonal QR – James W. Demmel - 1992
Analysis of Block LDL^T Factorizations for Symmetric Indefinite Matrices – Haw-ren Fang - 2007
Stability – Haw-ren Fang - 2008
4 MATRIX FACTORIZATIONS, TRIADIC MATRICES, AND MODIFIED CHOLESKY FACTORIZATIONS FOR OPTIMIZATION – Haw-ren Fang - 2006
5 The Instability Of Parallel Prefix Matrix Multiplication – Roy Mathias - 1997