RESUME. Ph. D. Applied Mathematics, Brown University, Providence, RI, M.A. Mathematics, University of California, San Diego, San Diego, CA.
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1 RESUME Personal: Education: Leslie V. Foster Department of Mathematics and Computer Science San Jose State University San Jose, CA Telephone (408) Ph. D. Applied Mathematics, Brown University, Providence, RI, 1978 M.A. Mathematics, University of California, San Diego, San Diego, CA B.S. Mathematics, Harvey Mudd College, Claremont, CA Minor in Physics. Areas of Specialization: Scientific Computation and Numerical Analysis Teaching Experience: 1981-present Professor of Mathematics at San Jose State University, San Jose, CA. Co-author of a degree: Bachelors of Science in Applied and Computational Mathematics Visiting Professor of Systems Engineering and Fulbright Fellow, Universidad de los Andes, Bogota, Colombia, South America Assistant Professor of Mathematics, University of Pittsburg in Johnstown, Johnstown, PA Instructor of Mathematics, Tougaloo College, Tougaloo, Mississippi. Publications: 1. Stable and Efficient Gaussian Process Calculations, accepted, subject to minor revisions, for Journal of Machine Learning Research, coauthored with Alex Waagen, Nabeela Aijaz, Michael Hurley, Apolonio Luis, Joel Rinsky and Chandrika Satyavolu, Michael Way, Paul Gazis, and Ashok Srivastava. November, 2008.
2 2. Improved linear algebra methods for redshift computation from limited spectrum data - II. Coauthored with Alex Waagen, Nabeela Aijaz, Michael Hurley, Apolo Luis, Joel Rinsky, Chandrika Satyavolu, Ashok Srivastava, Paul Gazis, and Michael Way. NASA Technical Report NASA/TM , (see ntrs.nasa.gov/search.jsp ) 3. An efficient algorithm for solving rank-deficient least squares problems with coauthor Rajesh Kommu. ACM Transactions on Mathematical Software, Vol. 32, pp , Solving rank-deficient and ill-posed problems using UTV and QRP factorizations, SIAM J. Matrix Anal. and Appl. Vol. 25, pp , Corrigendum to the growth factor and efficiency of Gaussian elimination with Rook Pivoting, Journal of Computational and Applied Mathematics, Vol. 98, P. 177, The growth factor and efficiency of Gaussian elimination with rook pivoting, Journal of Computational and Applied Mathematics, Vol. 86, pp , Singular values of a classical matrix, solution to problem 10312, The American Mathematical Monthly, Vol. 104, pp , On the convergence Rate of the Cell Discretization Algorithm for Solving Elliptic Problems, with Maria Cayco and Howard Swann, Math. Comp., Vol. 64, pp , "Gaussian Elimination with Partial Pivoting Can Fail In Practice," SIAM J. Matrix Anal. and Appl., Vol. 15, pp , "The Probability of Large Diagonal Entries in QR Factorizations," SIAM J. Sci. Stat. Computing., Vol. 11, pp , "Modifications of the Normal Equations Method that are Numerically Stable," in Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms, G. Golub and P. Van Dooren editors, Springer-Verlag, pp , "Rank and Null Space Calculations Using Matrix Decompositions Without Column Interchanges," Linear Algebra and its Applications, Vol. 74, pp , "A Comparison of Solutions to the Minimal Design Problem," IEEE Trans., Vol. AC- 29, pp , "Norm Selection in Solutions to the Minimal Design Problem," IEEE Trans., Vol. AC-29, pp , 1984.
3 15. "Generalizations of Laguerre's Method: Higher Order Methods," SIAM J. on Numerical Analysis, Vol. 18, pp , Dec "The Convergence of Rational Functions Closely Related to Pade Approximants," J. Approximation Theory, Vol. 28, February, "A Practical Solution to the Minimal Design Problem," IEEE Trans. on Automatic Control, Vol. AC-24, pp , June, "Applications of Non-linear Approximation Theory to the Model Reduction Problem," Ph.D. dissertation, Div. Applied Math., Brown University, Advisor: W.A. Wolovich. Conference Presentations and Professional Activities: 1. Application of Stable and Efficient Gaussian Process Calculations to Dynamical System Prognostics, NASA Aviation Safety Technical Forum, St. Louis, MO, Oct Row Echelon Form is Accurate After All, Internation Linear Algebra Society Annual Conference, Shanghai, China, July, Efficient and Stable Gaussian Process Calculations, NASA Data Mining in Aeronautics, Sciences and Exploration Systems (DMASES 2007), Mountain View, CA, June, Invited panelist for the Numerical Computing Panel for the Division of Computing and Communications of the National Science Foundation. Reviewed proposals to the NSF, July 31 August 1, A BLAS-3 Implementation of Rook Pivoting and Rank-Revealing Applications, invited speaker at the Householder Symposium XVI, Champion, PA, May 26, Also presented at Southern California Matrix Meeting, San Jose, CA, November 13, Why the QR Factorization can be more Accurate than the SVD, SIAM National meeting, Portland, Oregon, July, Also presented Univ. of California Berkeley Numerical Analysis Seminar, May 14, 2003 and Stanford Numerical Analysis Seminar, May, Comparison of LAPACK s methods for solving rank-deficient linear systems, invited speaker at the 2002 Householder Meeting in Peebles Scotland, June How often are solutions produced by the QR factorization better than those produced by the SVD? presented at the Southern California Matrix Meeting, San Jose, CA, November 2001.
4 9. Accuracy of Regularization using QR Factorizations, presented at the 2001 SIAM Conference on Linear Algebra, Systems and Control, Boston, MA, Regularization using Gaussian elimination with rook pivoting, invited speaker at the 1999 Householder Meeting in Whistler, Canada, June New developments about rook pivoting, presented at the Southern California Matrix Meeting, San Jose, CA, November Rank revealing properties of rook pivoting presented at the SIAM National meeting in Palo Alto, CA, July Properties of Gaussian elimination with rook pivoting presented at the 1997 International Conference on Numerical Analysis in Dundee, Scotland, June Gaussian Elimination with Zigzag Pivoting invited speaker at the conference celebrating Bill Gragg s 60 th birthday, Monterey, CA, Nov "Gaussian Elimination with Partial Pivoting Can Fail in Practice," invited plenary speaker at the 1993 Householder Symposium in Lake Arrowhead, CA, June "An O(n) Class of Estimators for the Smallest Singular Value of Triangular Matrices," invited to present this half hour talk at the SIAM National Meeting in Los Angeles in July "Stable Modifications of Normal Equation Methods," NATO Advanced Study Institute on Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms, Lueven, Belgium, Aug. 11, Part of planning group for Conference on Computing in Undergraduate Mathematics sponsored by NSF, Chicago, Illinois, June 2-4, "The Probability of Large Diagonal Entries in QR Factorizations," 1986 SIAM National Meeting, Boston, Massachusetts, July 1986 and Stanford University, December, "Rank Determination using Matrix Decomposition without Column Interchanges," 1983 SIAM National Meeting, Denver, Colorado, June 1983 and Stanford University, March, "Generalizations of Laguerre's Method: Lower Order Methods," 1981 SIAM National Meeting, Troy, N.Y., June "Practical Solution to the Minimal Design Problem," 1978 Conference on Information Science and Systems, Johns Hopkins University, 1978.
5 Work and Consulting Experience: Director of Camcos Project with NASA Ames on Improved linear algebra methods for redshift computation from limited spectrum data. The project involved NASA scientist and a team of students Consulting with IBM Applied Mathematics Center Project on "Cell Discretization." The project involved IBM scientist and a team of students Director of a San Jose State Applied Mathematics Clinic Projects on "Electromigration in VLSI Chips and on "Heat Flow in Semiconductor Structures." The projects involved HP scientist and a team of students Consulting for Instituto SER in Bogota, Colombia. Worked on simulation of Colombian social system Summer employment as a mathematician at the Naval Electronics Laboratory in San Diego, California. Participant in operations research studies of naval systems Summer employment as a mathematician with Lawrence Radiation Laboratory in Livermore, California. Computer simulation of nuclear reactions. Honors and Grants: Co-directory of two NSF Instrumentation and Laboratory Improvement grants "Computing Equipment for Realistic Modeling." $154, NSF research grant to study "Rank Deficient Sparse Least Squares." $39, Received a series of three grants from Hewlett Packard to study "Heat Flow in Semiconductor Structures" and "Electromigration in VLSI Chips." $75, Fulbright Fellow in Mathematics. Bogota, Colombia NSF research grant to study "Generalizations of Laguerre's method." $10,192. Professional Organizations: References: SIAM, ACM Available upon request.
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