dqds with Aggressive Early Deflation
暂无分享,去创建一个
Ichitaro Yamazaki | Yuji Nakatsukasa | Kensuke Aishima | Y. Nakatsukasa | I. Yamazaki | Kensuke Aishima
[1] William B. Gragg,et al. The QR algorithm for unitary Hessenberg matrices , 1986 .
[2] Kazuo Murota,et al. Superquadratic convergence of DLASQ for computing matrix singular values , 2010, J. Comput. Appl. Math..
[3] Charles R. Johnson. A Gersgorin-type lower bound for the smallest singular value , 1989 .
[4] Suely Oliveira. A new parallel chasing algorithm for transforming arrowhead matrices to tridiagonal form , 1998, Math. Comput..
[5] Beresford N. Parlett,et al. An implementation of the dqds algorithm (positive case) , 2000 .
[6] G. W. Stewart,et al. Matrix Algorithms: Volume 1, Basic Decompositions , 1998 .
[7] Paul Willems,et al. On MR3-type Algorithms for the Tridiagonal Symmetric Eigenproblem and the Bidiagonal SVD , 2018 .
[8] B. Parlett,et al. Accurate singular values and differential qd algorithms , 1994 .
[9] James Demmel,et al. Accurate Singular Values of Bidiagonal Matrices , 1990, SIAM J. Sci. Comput..
[10] James Demmel,et al. Algorithm 880: A testing infrastructure for symmetric tridiagonal eigensolvers , 2008, TOMS.
[11] B. Parlett,et al. Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices , 2004 .
[12] I. Dhillon. Algorithm for the Symmetric Tridiagonal Eigenvalue/Eigenvector Problem , 1998 .
[13] Roy Mathias,et al. Quadratic Residual Bounds for the Hermitian Eigenvalue Problem , 1998 .
[14] Yamamoto Yusaku,et al. A Fully Pipelined Multishift QR Algorithm for Parallel Solution of Symmetric Tridiagonal Eigenproblems , 2008 .
[15] Danny C. Sorensen,et al. Deflation for Implicitly Restarted Arnoldi Methods , 1998 .
[16] G. W. Stewart,et al. Matrix algorithms , 1998 .
[17] Ren-Cang Li,et al. A note on eigenvalues of perturbed Hermitian matrices , 2005 .
[18] B. Kågström,et al. The Multishift QZ Algorithm with Aggressive Early Deflation ? , 2006 .
[19] Beresford N. Parlett,et al. Another orthogonal matrix , 2006 .
[20] Kazuo Murota,et al. On Convergence of the DQDS Algorithm for Singular Value Computation , 2008, SIAM J. Matrix Anal. Appl..
[21] B. Parlett. The Symmetric Eigenvalue Problem , 1981 .
[22] Efstratios Gallopoulos,et al. Computing smallest singular triplets with implicitly restarted Lanczos bidiagonalization , 2004, Applied Numerical Mathematics.
[23] James Demmel,et al. Applied Numerical Linear Algebra , 1997 .
[24] Daniel Kressner,et al. The Effect of Aggressive Early Deflation on the Convergence of the QR Algorithm , 2008, SIAM J. Matrix Anal. Appl..
[25] James Demmel,et al. On a Block Implementation of Hessenberg Multishift QR Iteration , 1989, Int. J. High Speed Comput..
[26] Inderjit S. Dhillon,et al. Orthogonal Eigenvectors and Relative Gaps , 2003, SIAM J. Matrix Anal. Appl..
[27] Robert A. van de Geijn,et al. Deferred Shifting Schemes for Parallel QR Methods , 1993, SIAM J. Matrix Anal. Appl..
[28] Gene H. Golub,et al. Calculation of Gauss quadrature rules , 1967, Milestones in Matrix Computation.
[29] B. Parlett,et al. Forward Instability of Tridiagonal QR , 1993, SIAM J. Matrix Anal. Appl..