Other Publications and Reports by David S. Watkins

• Blending Functions and Finite Elements, Ph.D. thesis, University of Calgary, 1974.
• A conforming rectangular plate element, pp. 77-83 in The Mathematics of Finite Elements and Applications, II (MAFELAP 75), Ed. J. R. Whiteman, Academic Press, New York, 1976.
• A comment on Gopalacharyulu's 24-node element, Int. J. Num. Meth. Engng., 10 (1976), pp. 471-472.
• Interpolation in the plane and rectangular finite elements, with P. Lancaster, proceedings of Oberwolfach conference, Birkhauser, Basel and Stuttgart, 1976.
• Application of mixed interpolation elements to three-dimensional free-surface flows, with C. T. Kincaid and G. Z. Watters, proceedings of the Third International Conference on Finite Elements in Flow Problems, Banff, Alberta, 1980.
• Experience with the Toda flow method of calculating eigenvalues, Department of Mathematics Technical Report TR-82-1, Washington State University, 1982.
• The Toda flow and other isospectral flows, report on Utah State University Matrix Theory Conference, Linear Algebra Appl., 59 (1984), pp. 196-201.
• Eigenvalues and eigenvectors of a large matrix, SIAM Review, Problems and Solutions, 28 (1986), pp. 240-241.
• QR algorithm, pp. 371-374 in Encyclopedia of Statistical Sciences, S. Kotz and N. L. Johnson, Eds.-in-Chief, Wiley, New York, 1986.
• Comparative performance of reflectors and fast rotators in the nonsymmetric QR algorithm, with Juan Du, Department of Mathematics Technical Report TR 87-1, Washington State University, October, 1987.
• On GR algorithms for the eigenvalue problem, pp. 687-694 in Numerical Linear Algebra, Digital Signal Processing, and Parallel Algorithms, Ed. G. Golub and P. Van Dooren, Nato ASI Series F, Springer-Verlag, 1990.
• Hybrid chasing algorithms for the nonsymmetric eigenvalue problem, with J. B. Haag, TR 91-2, Department of Mathematics, Washington State University, 1991.
• Transmission of shifts in the multishift QR algorithm, pp. 302-305 in Applied Linear Algebra, Ed. J. G. Lewis, SIAM, Philadelphia, 1994. Proceedings of Fifth SIAM Conference on Applied Linear Algebra, Snowbird, Utah, June, 1994.
• Review of Applied Numerical Linear Algebra by James W. Demmel ( .ps ), Math. Comp., 67 (1998), pp. 1742-1744.
• Commentary on Lanczos's Spectroscopic Eigenvalue Analysis, pp. 3-165--3-167 in Cornelius Lanczos Collected Published Papers with Commentaries, vol. V, Ed. William R. Davis, North Carolina State University, 1998.
• Infinite eigenvalues and the QZ algorithm, Preprint SFB393/99-23, Technische Universitaet Chemnitz, September, 1999.
• Review of Matrix Analysis and Applied Linear Algebra by Carl D. Meyer ( .ps ), SIAM Review, 43 (2001), pp. 408-409.
• Review of Solving Nonlinear Equations with Newton's Method by C. T. Kelley ( .ps ), SIAM Review, 46 (2004), pp. 740-741.
• Numerical methods for integrating framework models, with E. J. Mapes and M. F. Schumaker, Biophysical Journal 88 (2005), p. 108A.
• Review of Gersgorin and His Circles, by R. S. Varga ( .ps ), Mathematical Reviews MR2093409 (2005).
• Featured Review: Textbooks in Linear Algebra ( .pdf ), SIAM Review, 48 (2006), pp. 393-396.
• Review of A Kalman Filter Primer by R. L. Eubank ( .pdf ), SIAM Review, 48 (2006), pp. 820-821.
• Bulge exchanges in GZ algorithms for the standard and generalized eigenvalue problems (.pdf). This work might get finished some day.
• Using the relationship between geometry and hyperpolarizability as a tool for developing new paradigms for molecular engineering, by Mark G. Kuzyk and David S. Watkins, SPIE 6331, 633113 (2006).
• Using optimization techniques and modulation of conjugation to design the ultimate nonlinear-optical molecule, by Juefei Zhou, Javier Perez-Moreno, Koen Clays, David Watkins, Yuxia Zhao and Mark G. Kuzyk, ICONO 9/ICOPE 2006, Brugge, Belgium (2006).
• Unsymmetric Matrix Eigenvalue Techniques, Ch. 43 in Handbook of Linear Algebra, Ed. Leslie Hogben, Chapman and Hall/CRC, 2007.
• Review of A First Course in Linear Algebra by R. A. Beezer ( .pdf ), SIAM Review, 49 (2007), pp. 726-727.
• Review of Linear Algebra and its Applications, Second Edition by Peter D. Laxs ( .pdf ), SIAM Review, 50 (2008), pp. 624-626.