论文信息 - Accurate Singular Values of Bidiagonal Matrices - 字舞流文

Accurate Singular Values of Bidiagonal Matrices

Computing the singular values of a bidiagonal matrix is the final phase of the standard algorithm for the singular value decomposition of a general matrix. A new algorithm that computes all the sin...

James Demmel | William Kahan | J. Demmel | W. Kahan

[1] W. Kahan. Accurate eigenvalues of a symmetric tri-diagonal matrix , 1966 .

[2] J. Barlow,et al. Computing accurate eigensystems of scaled diagonally dominant matrices: LAPACK working note No. 7 , 1988 .

[3] V. Klema. LINPACK user's guide , 1980 .

[4] B N Parlett,et al. On the Forward Instability of the QR Transformation , 1988 .

[5] N. Higham. Efficient algorithms for computing the condition number of a tridagonal matrix , 1986 .

[6] Gene H. Golub,et al. Matrix computations , 1983 .

[7] Ahmed H. Sameh,et al. A multiprocessor algorithm for the symmetric tridiagonal eigenvalue problem , 1985, PPSC.

[8] J. H. Wilkinson. The algebraic eigenvalue problem , 1966 .

[9] G. Stewart. Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems , 1973 .

[10] J DongarraJack,et al. Distribution of mathematical software via electronic mail , 1987 .

[11] B. Parlett. The Symmetric Eigenvalue Problem , 1981 .