

William M. Kahan
Professor Emeritus
Research Areas
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. 23, pp. 335341, 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. 1521, March 2002.
 W. M. Kahan and R. Li, "Unconventional schemes for a class of ordinary differential equations  With applications to the Kortewegde Vries Equation," J. Computational Physics, vol. 134, no. 2, pp. 316331, 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. 10891099, July 1997.
 W. M. Kahan, "Analysis and refutation of the LCAS," ACM SIGNUM Newsletter, vol. 26, no. 3, pp. 215, 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. 873912, 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. 165211.
 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 wordlengthindependent standard for floatingpoint arithmetic," ACM SIGNUM Newsletter, vol. 20, no. 1, pp. 86100, 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. 1226.
 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. 470484, June 1982.
 C. Davis, W. M. Kahan, and H. F. Weinberger, "Normpreserving dilations and their applications to optimal error bounds," SIAM J. Numerical Analysis, vol. 19, no. 3, pp. 445469, June 1982.



