# Faculty Publications - Beresford N. Parlett

## Books

- B. N. Parlett,
*The Symmetric Eigenvalue Problem*, 2nd ed., Classics in Applied Mathematics, Vol. 20, Philadelphia: Society for Industrial and Applied Mathematics (SIAM), 1998. [abstract]

## Book chapters or sections

- J. Demmel, J. Dongarra, B. N. Parlett, W. M. Kahan, M. Gu, D. Bindel, Y. Hida, X. Li, O. Marques, E. J. Riedy, C. Vomel, J. Langou, P. Luszczek, J. Kurzak, A. Buttari, J. Langou, and S. Tomov, "Prospectus for the next LAPACK and ScaLAPACK libraries," in
*Applied Parallel Computing: State of the Art in Scientific Computing. Proc. 8th Intl. Workshop (PARA 2006). Revised Selected Papers*, B. Kagstrom, E. Elmroth, J. Dongarra, and J. Wasniewski, Eds., Lecture Notes in Computer Science, Vol. 4699, Berlin, Germany: Springer-Verlag, 2007, pp. 11-23. - W. M. Kahan and B. N. Parlett, "How far should you go with the Lanczos process?," in
*Sparse Matrix Computations: Proc. Symp. on Sparse Matrix Computations*, J. R. Bunch and D. J. Rose, Eds., New York, NY: Academic Press, 1976, pp. 131-144.

## Selected Articles in journals or magazines

- O. A. Marques, C. Vomel, J. Demmel, and B. N. Parlett, "Algorithm 880: A testing infrastructure for symmetric tridiagonal eigensolvers,"
*ACM Trans. Mathematical Software*, vol. 35, no. 1, pp. 8:1-13, July 2008. - J. Demmel, O. A. Marques, B. N. Parlett, and C. Vomel, "Performance and accuracy of LAPACK's symmetric tridiagonal eigensolvers,"
*SIAM J. Scientific Computing*, vol. 30, no. 3, pp. 1508-1526, April 2008. - W. M. Kahan, B. N. Parlett, and E. Jiang, "Residual bounds on approximate eigensystems of nonnormal matrices,"
*SIAM J. Numerical Analysis*, vol. 19, no. 3, pp. 470-484, June 1982. - W. M. Kahan and B. N. Parlett, "How reliable is your calculator?,"
*Funkschau*, vol. 51, no. 1, pp. 29-32, Jan. 1979. [abstract] - W. M. Kahan and B. N. Parlett, "Are there errors in pocket calculators? II.,"
*Funkschau*, vol. 51, no. 2, pp. 87-90, Jan. 1979. [abstract]

## Selected Articles in conference proceedings

- B. N. Parlett and W. M. Kahan, "On the convergence of a practical QR algorithm," in
*Proc. 4th IFIP Congress 1968*, A. J. H. Morrell, Ed., Vol. 1, Amsterdam, The Netherlands: North-Holland Publishing Co., 1968, pp. 114-118. [abstract]

## Technical Reports

- B. N. Parlett and C. Voemel, "LAPACK Working Note 163: How the MRRR Algorithm Can Fail on Tight Eigenvalue Clusters," EECS Department, University of California, Berkeley, Tech. Rep. UCB/CSD-04-1367, March 2005. [abstract]
- I. Dhillon, B. N. Parlett, and C. Voemel, "LAPACK Working Note 162: The Design and Implementation of the MRRR Algorithm," EECS Department, University of California, Berkeley, Tech. Rep. UCB/CSD-04-1346, 2004. [abstract]
- W. M. Kahan and B. N. Parlett, "How Far Should You Go with the Lanczos Process?," University of California, Berkeley, Electronics Research Lab, Tech. Rep. UCB/ERL M-78-48, July 1978. [abstract]
- W. M. Kahan and B. N. Parlett, "Can You Count on Your Calculator?," University of California, Berkeley, Electronics Research Lab, Tech. Rep. UCB/ERL M-77-21, April 1977. [abstract]
- W. M. Kahan and B. N. Parlett, "An Analysis of Lanczos Algorithms for Symmetric Matrices," University of California, Electronics Research Laboratory, Tech. Rep. UCB/ERL M-74-467, Sep. 1974. [abstract]

## Talks or presentations

- J. Demmel, W. M. Kahan, and B. N. Parlett, "Forsythe, Golub, and the Future of Matrix Computations," presented at Matrix Computations & Scientific Computing Seminar, 380 Soda Hall, March 2007.