Accurate SVDs of weakly diagonally dominant M-matrices

Numerische Mathematik

Volumn 98, Issue 1, 2004, Pages 99-104

  Demmel, James ^a   Koev, Plamen ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3542992672     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-004-0527-8     Document Type: Article

References (10)

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2. Alfa, A. S., Xue, J., Ye, Q.: Accurate computation of the smallest eigenvalue of a diagonally dominant M-matrix. Math. Comp. 71(237), 217-236 (electronic), (2002)
3. Demmel, J.: Applied Numerical Linear Algebra, SIAM, 1997
4. Demmel, J.: Accurate SVDs of structured matrices. SIAM J. Mat. Anal. Appl. 21(2), 562-580, (1999)
5. Demmel, J., Gu, M., Eisenstat, S., Slapničar, I., Veselić, K., Drmač, Z.: Computing the singular value decomposition with high relative accuracy. Lin. Alg. Appl. 299(1-3), 21-80 (1999)
6. Demmel, J., Koev, P.: Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices. In Structured matrices in mathematics, computer science, and engineering. II (Boulder, CO, 1999), pages 117-143. Amer. Math. Soc., Providence, RI, 2001
7. Golub, G., Van Loan, C.: Matrix Computations. Johns Hopkins University Press, Baltimore, MD, 3rd edition, 1996
8. The MathWorks, Inc., Natick, MA. MATLAB Reference Guide, 1992
9. O'Cinneide, C.: Relative-error for the LU decomposition via GTH algorithm. Numer. Math. 73, 507-519 (1996)
10. Wolfram, S.: Mathematica: A system for doing mathematics by computer. AddisonWesley, 1988