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.

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.

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.
• W. M. Kahan and B. N. Parlett, "Are there errors in pocket calculators? II.," Funkschau, vol. 51, no. 2, pp. 87-90, Jan. 1979.

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.

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.
• 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.
• B. Parlett and E. Jiang, "Residual Bounds on Approximate Eigensystems of Nonnormal Matrices," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M80/39, Sep. 1980.
• B. Parlett, "The Discrete Fourier Transform Via Circulants," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M80/37, Aug. 1980.
• W. Kahan and B. Parlett, "How Far Should You Go with the Lanczos Process?," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M78/48, July 1978.
• 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.
• B. Parlett and D. Scott, "The Lanczos Algorithm with Implicit Deflation," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M77/70, Dec. 1977.
• B. Parlett, "A Program to Swap Diagonal Blocks," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M77/66, Nov. 1977.
• W. Hoffman and B. Parlett, "A New Proof of Global Convergence for the Tridiagonal QL Algorithm," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M77/48, July 1977.
• B. Parlett, "Progress in Numerical Analysis," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M77/26, April 1977.
• W. Kahan and B. Parlett, "Can You Count on Your Calculator," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M77/21, April 1977.
• 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.
• B. Parlett, "Roundoff Error in the Solution of Finite Element Systems," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M593, June 1976.
• B. Parlett and R. Feldman, "A Program to Compute the Real Schur Form of a Real Square Matrix," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M526, June 1975.
• S. Chan, R. Feldman, and B. Parlett, "A Program to Compute the Condition Numbers of Matrix Eigenvalues Without Computing Eigenvectors," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M517, April 1975.
• B. Parlett, "Computation of Functions of Triangular Matrices," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M481, Nov. 1974.
• W. Kahan and B. Parlett, "An Analysis of Lanczos Algorithms for Symmetric Matrices," EECS Department, University of California, Berkeley, Tech. Rep. UCB/ERL M467, Sep. 1974.
• 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.

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.