William M. Kahan

Professor Emeritus

Research Areas

• Computer Architecture & Engineering (ARC)
• Scientific Computing (SCI)
• Computer architecture; Scientific computing; Numerical analysis

Biography

He received his Ph.D. in math, University of Toronto, 1958.

Selected Publications

• W. M. Kahan, "Is there a small skew Cayley transform with zero diagonal?," Linear Algebra and Its Applications, vol. 417, no. 2-3, pp. 335-341, Sep. 2006.
• R. Bhatia, W. M. Kahan, and R. Li, "Pinchings and norms of scaled triangular matrices," Linear and Multilinear Algebra, vol. 50, no. 1, pp. 15-21, March 2002.
• W. M. Kahan and R. Li, "Unconventional schemes for a class of ordinary differential equations - With applications to the Korteweg-de Vries Equation," J. Computational Physics, vol. 134, no. 2, pp. 316-331, July 1997.
• W. M. Kahan and R. Li, "Composition constants for raising the orders of unconventional schemes for ordinary differential equations," Mathematics of Computation, vol. 66, no. 219, pp. 1089-1099, July 1997.
• W. M. Kahan, "Analysis and refutation of the LCAS," ACM SIGNUM Newsletter, vol. 26, no. 3, pp. 2-15, July 1991.
• J. Demmel and W. M. Kahan, "Accurate singular values of bidiagonal matrices," SIAM Journal on Scientific and Statistical Computing, vol. 11, no. 5, pp. 873-912, Sep. 1990.
• W. M. Kahan, "Branch cuts for complex elementary functions, or much ado about nothing's sign bit," in The State of the Art in Numerical Analysis: Proc. 3rd Joint IMA/SIAM Conf., A. Iserles and M. J. D. Powell, Eds., Institute of Mathematics and Its Applications Conference Series, Vol. 9, Oxford, England, UK: Oxford University Press, 1987, pp. 165-211.
• W. J. Cody, J. T. Coonen, D. M. Gay, K. Hanson, D. Hough, W. M. Kahan, R. Karpinski, J. Palmer, F. N. Ris, and D. Stevenson, "A proposed radix- and word-length-independent standard for floating-point arithmetic," ACM SIGNUM Newsletter, vol. 20, no. 1, pp. 86-100, Jan. 1985.
• W. M. Kahan, "Mathematics written in sand," in Proc. Joint Statistical Meeting of the American Statistical Association, Alexandria, VA: American Statistical Association, 1983, pp. 12-26.
• 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.
• C. Davis, W. M. Kahan, and H. F. Weinberger, "Norm-preserving dilations and their applications to optimal error bounds," SIAM J. Numerical Analysis, vol. 19, no. 3, pp. 445-469, June 1982.