- David S. Watkins,
*Blending Functions and Finite Elements,*Ph.D. thesis, University of Calgary, 1974. - David S. Watkins,
*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. - David S. Watkins,
*A comment on Gopalacharyulu's 24-node element,*Int. J. Num. Meth. Engng., 10 (1976), pp. 471-472. - P. Lancaster and D. S. Watkins,
*Interpolation in the plane and rectangular finite elements,*proceedings of Oberwolfach conference, Birkhauser, Basel and Stuttgart, 1976. - C. T. Kincaid, G. Z. Watters, and D. S. Watkins,
*Application of mixed interpolation elements to three-dimensional free-surface flows,*proceedings of the Third International Conference on Finite Elements in Flow Problems, Banff, Alberta, 1980. - David S. Watkins,
*Experience with the Toda flow method of calculating eigenvalues,*Department of Mathematics Technical Report TR-82-1, Washington State University, 1982. - David S. Watkins,
*The Toda flow and other isospectral flows,*report on Utah State University Matrix Theory Conference, Linear Algebra Appl., 59 (1984), pp. 196-201. - David S. Watkins,
*Eigenvalues and eigenvectors of a large matrix,*SIAM Review, Problems and Solutions, 28 (1986), pp. 240-241. - David S. Watkins,
pp. 371-374 in*QR*algorithm,*Encyclopedia of Statistical Sciences,*S. Kotz and N. L. Johnson, Eds.-in-Chief, Wiley, New York, 1986. - Juan Du and David S. Watkins,
*Comparative performance of reflectors and fast rotators in the nonsymmetric*Department of Mathematics Technical Report TR 87-1, Washington State University, October, 1987.*QR*algorithm, - David S. Watkins,
*On*pp. 687-694 in*GR*algorithms for the eigenvalue problem,*Numerical Linear Algebra, Digital Signal Processing, and Parallel Algorithms,*Ed. G. Golub and P. Van Dooren, Nato ASI Series F, Springer-Verlag, 1990. - J. B. Haag and D. S. Watkins,
*Hybrid chasing algorithms for the nonsymmetric eigenvalue problem,*TR 91-2, Department of Mathematics, Washington State University, 1991. - David S. Watkins,
*Transmission of shifts in the multishift*pp. 302-305 in*QR*algorithm,*Applied Linear Algebra,*Ed. J. G. Lewis, SIAM, Philadelphia, 1994. Proceedings of Fifth SIAM Conference on Applied Linear Algebra, Snowbird, Utah, June, 1994. - David S. Watkins,
Review of
*Applied Numerical Linear Algebra*by James W. Demmel ( .ps ), Math. Comp., 67 (1998), pp. 1742-1744. - David S. Watkins,
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. - David S. Watkins,
*Infinite eigenvalues and the QZ algorithm,*Preprint SFB393/99-23, Technische Universitaet Chemnitz, September, 1999. - David S. Watkins,
Review of
*Matrix Analysis and Applied Linear Algebra*by Carl D. Meyer ( .ps ), SIAM Review, 43 (2001), pp. 408-409. - David S. Watkins,
Review of
*Solving Nonlinear Equations with Newton's Method*by C. T. Kelley ( .ps ), SIAM Review, 46 (2004), pp. 740-741. - E. J. Mapes, M. F. Schumaker, and D. S. Watkins,
*Numerical methods for integrating framework models,*Biophysical Journal 88 (2005), p. 108A. - David S. Watkins, Review of
*Gersgorin and His Circles,*by R. S. Varga ( .ps ), Mathematical Reviews MR2093409 (2005). - David S. Watkins,
*Featured Review: Textbooks in Linear Algebra*( .pdf ), SIAM Review, 48 (2006), pp. 393-396. - David S. Watkins,
Review of
*A Kalman Filter Primer*by R. L. Eubank ( .pdf ), SIAM Review, 48 (2006), pp. 820-821. - David S. Watkins,
*Bulge exchanges in GZ algorithms for the standard and generalized eigenvalue problems*(.pdf). This work might get finished some day. - Mark G. Kuzyk and David S. Watkins,
*Using the relationship between geometry and hyperpolarizability as a tool for developing new paradigms for molecular engineering,*SPIE 6331, 633113 (2006). - Mark G. Kuzyk, Juefei Zhou, and David S. Watkins,
*Using Fundamental Quantum Principles to Design Better Nonlinear-Optical Molecules,*ACS/OSA joint meeting on Optical Thin Films. Published in Polymer Preprints (2006). - Juefei Zhou, Javier Perez-Moreno, Koen Clays, David Watkins, Yuxia
Zhao and Mark G. Kuzyk,
*Using optimization techniques and modulation of conjugation to design the ultimate nonlinear-optical molecule,*ICONO 9/ICOPE 2006, Brugge, Belgium (2006). - David S. Watkins,
*Unsymmetric Matrix Eigenvalue Techniques,*Ch. 43 in*Handbook of Linear Algebra,*Ed. Leslie Hogben, Chapman and Hall/CRC, 2007. - David S. Watkins,
Review of
*A First Course in Linear Algebra*by R. A. Beezer ( .pdf ), SIAM Review, 49 (2007), pp. 726-727. - David S. Watkins,
Review of
*Linear Algebra and its Applications, Second Edition*by Peter D. Lax ( .pdf ), SIAM Review, 50 (2008), pp. 624-626. - David S. Watkins,
Review of
*Linear Algebra Thoroughly Explained*by Milan Vujicic, ( .pdf ), SIAM Review, 51 (2009), pp. 656-657. - David S. Watkins,
Review of
*Matrix Methods in Data Mining*by Lars Elden ( .pdf ), SIAM Review, 52 (2010), pp. 588-590. - David S. Watkins,
Review of
*Matrix Mathematics, Second Edition*by Dennis S. Bernstein ( .pdf ), SIAM Review, 52 (2010). pp. 790-791. - Mark G. Kuzyk, David S. Watkins, Nathan J. Dawson, Benjamin
R. Anderson, and Jennifer Schei,
*From universal properties to cascading: using sum rules for developing broad principles and understanding phenomena,*SPIE, San Diego, (2012). - David S. Watkins,
Review of
*Numerical Analysis*by L. Ridgway Scott ( .pdf ), SIAM Review, 54 (2012). pp. 621-623. - David S. Watkins,
*Unsymmetric Matrix Eigenvalue Techniques,*Ch. 56 in*Handbook of Linear Algebra, 2nd Ed.,*Ed. Leslie Hogben, Chapman and Hall/CRC, 2014.

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