Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices (1980)

by Jesse Barlow , Jam Demmel
Citations:80 - 14 self

Active Bibliography

25 On computing accurate singular values and eigenvalues . . . – James W. Demmel, et al.
1 Recent Developments in Dense Numerical Linear Algebra – Nicholas J. Higham - 1997
2 On the error analysis and implementation of some eigenvalue decomposition and singular value decomposition algorithms – Huan Ren - 1996
100 Accurate Singular Values of Bidiagonal Matrices – Jam Demmel, W. Kahan - 1990
12 A Survey of Componentwise Perturbation Theory in Numerical Linear Algebra – Nicholas J. Higham - 1994
7 Relative Perturbation Results For Eigenvalues And Eigenvectors Of Diagonalisable Matrices – Stanley C. Eisenstat, Ilse C. F. Ipsen - 1996
PERTURBATION SPLITTING FOR MORE ACCURATE EIGENVALUES – Rui Ralha
4 An Efficient and Accurate Parallel Algorithm for the Singular Value Problem of Bidiagonal Matrices – T. Y. Li, Li Noah Rhee, Zhonggang Zeng
25 The bidiagonal singular values decomposition and Hamiltonian mechanics – Percy Deift, James Demmel, Chau Li, Carlos Tomei - 1991
19 Laguerre's Iteration In Solving The Symmetric Tridiagonal Eigenproblem - Revisited – T. Y. Li, Zhonggang Zeng - 1992
14 Product eigenvalue problems – David S. Watkins - 2005
21 Accurate Symmetric Eigenreduction By A Jacobi Method – Ivan Slapnicar, Erstgutachter Mentor, Prof Dr - 1992
LAPACK-Style Algorithms and Software for Computing the Generalized Singular Value Decompositions: CSD, QSVD, and PSVD – Jenny Jian Wang - 2005
Relative Perturbation Theory: IV sin 2 theta Theorems – Ren-cang Li - 1999
11 Relative Perturbation Results for Matrix Eigenvalues and Singular Values – Ilse C. F. Ipsen - 1998
2 Singular Value Decomposition-Based Methods For Signal And Image Restoration – Julie L. Kamm - 1998
1 High Performance Parallel Approximate Eigensolver for Real Symmetric Matrices – Yihua Bai - 2005
12 Trading off Parallelism and Numerical Stability – J. W. Demmel - 1992
TOWARD HIGH PERFORMANCE DIVIDE AND CONQUER EIGENSOLVER FOR DENSE SYMMETRIC MATRICES ∗ – Azzam Haidar, Hatem Ltaief, Jack Dongarra