Other Publications and Reports by David S. Watkins

  1. David S. Watkins, Blending Functions and Finite Elements, Ph.D. thesis, University of Calgary, 1974.

  2. 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.

  3. David S. Watkins, A comment on Gopalacharyulu's 24-node element, Int. J. Num. Meth. Engng., 10 (1976), pp. 471-472.

  4. P. Lancaster and D. S. Watkins, Interpolation in the plane and rectangular finite elements, proceedings of Oberwolfach conference, Birkhauser, Basel and Stuttgart, 1976.

  5. 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.

  6. David S. Watkins, Experience with the Toda flow method of calculating eigenvalues, Department of Mathematics Technical Report TR-82-1, Washington State University, 1982.

  7. 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.

  8. David S. Watkins, Eigenvalues and eigenvectors of a large matrix, SIAM Review, Problems and Solutions, 28 (1986), pp. 240-241.

  9. David S. Watkins, QR algorithm, pp. 371-374 in Encyclopedia of Statistical Sciences, S. Kotz and N. L. Johnson, Eds.-in-Chief, Wiley, New York, 1986.

  10. Juan Du and David S. Watkins, Comparative performance of reflectors and fast rotators in the nonsymmetric QR algorithm, Department of Mathematics Technical Report TR 87-1, Washington State University, October, 1987.

  11. David S. Watkins, 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.

  12. 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.

  13. David S. Watkins, 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.

  14. David S. Watkins, Review of Applied Numerical Linear Algebra by James W. Demmel ( .ps ), Math. Comp., 67 (1998), pp. 1742-1744.

  15. 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.

  16. David S. Watkins, Infinite eigenvalues and the QZ algorithm, Preprint SFB393/99-23, Technische Universitaet Chemnitz, September, 1999.

  17. David S. Watkins, Review of Matrix Analysis and Applied Linear Algebra by Carl D. Meyer ( .ps ), SIAM Review, 43 (2001), pp. 408-409.

  18. David S. Watkins, Review of Solving Nonlinear Equations with Newton's Method by C. T. Kelley ( .ps ), SIAM Review, 46 (2004), pp. 740-741.

  19. E. J. Mapes, M. F. Schumaker, and D. S. Watkins, Numerical methods for integrating framework models, Biophysical Journal 88 (2005), p. 108A.

  20. David S. Watkins, Review of Gersgorin and His Circles, by R. S. Varga ( .ps ), Mathematical Reviews MR2093409 (2005).

  21. David S. Watkins, Featured Review: Textbooks in Linear Algebra ( .pdf ), SIAM Review, 48 (2006), pp. 393-396.

  22. David S. Watkins, Review of A Kalman Filter Primer by R. L. Eubank ( .pdf ), SIAM Review, 48 (2006), pp. 820-821.

  23. David S. Watkins, Bulge exchanges in GZ algorithms for the standard and generalized eigenvalue problems (.pdf). This work might get finished some day.

  24. 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).

  25. 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).

  26. 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).

  27. David S. Watkins, Unsymmetric Matrix Eigenvalue Techniques, Ch. 43 in Handbook of Linear Algebra, Ed. Leslie Hogben, Chapman and Hall/CRC, 2007.

  28. David S. Watkins, Review of A First Course in Linear Algebra by R. A. Beezer ( .pdf ), SIAM Review, 49 (2007), pp. 726-727.

  29. David S. Watkins, Review of Linear Algebra and its Applications, Second Edition by Peter D. Lax ( .pdf ), SIAM Review, 50 (2008), pp. 624-626.

  30. David S. Watkins, Review of Linear Algebra Thoroughly Explained by Milan Vujicic, ( .pdf ), SIAM Review, 51 (2009), pp. 656-657.

  31. David S. Watkins, Review of Matrix Methods in Data Mining by Lars Elden ( .pdf ), SIAM Review, 52 (2010), pp. 588-590.

  32. David S. Watkins, Review of Matrix Mathematics, Second Edition by Dennis S. Bernstein ( .pdf ), SIAM Review, 52 (2010). pp. 790-791.

  33. 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).

  34. David S. Watkins, Review of Numerical Analysis by L. Ridgway Scott ( .pdf ), SIAM Review, 54 (2012). pp. 621-623.

  35. 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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