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.
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