William B. Gragg
| William B. Gragg | |
|---|---|
| Born |
November 2, 1936 Bakersfield, California |
| Nationality | American |
| Fields | Mathematics |
| Institutions | Naval Postgraduate School |
| Alma mater | UCLA |
| Thesis | Repeated extrapolation to the limit in the numerical solution of ordinary differential equations (1964) |
| Doctoral advisor | Peter Henrici |
| Known for | Gragg Extrapolation |
William B. Gragg is Emeritus Professor in the Department of Applied Mathematics at the Naval Postgraduate School. He has made fundamental contributions in numerical analysis, particularly the areas of numerical linear algebra and numerical methods for ordinary differential equations.
He received his PhD at UCLA in 1964 under the direction of Peter Henrici. His dissertation work resulted in the Gragg Extrapolation method[1] for the numerical solution of ordinary differential equations (sometimes also called the Bulirsch–Stoer algorithm).
Gragg is also well known for his work on the QR algorithm for unitary Hessenberg matrices, on updating the QR factorization,[2] superfast solution of Toeplitz systems,[3] parallel algorithms for solving eigenvalue problems,[4][5] as well as his exposition on the Pade table and its relation to a great number of algorithms in numerical analysis.[6]
References
- ↑ http://epubs.siam.org/doi/pdf/10.1137/0702030 On extrapolation algorithms for ordinary initial value problems, WB Gragg SINUM, vol. 2, no. 3, 1965.
- ↑ http://www.ams.org/journals/mcom/1976-30-136/S0025-5718-1976-0431641-8/ Reorthogonalization and stable algorithms for updating the Gram-Schmidt factorization, J. W. Daniel, W. B. Gragg, L. Kaufman and G. W. Stewart. Math. Comp. 30 (1976), 772-795
- ↑ http://epubs.siam.org/doi/abs/10.1137/0609005 Superfast Solution of Real Positive Definite Toeplitz Systems, G.S. Ammar and W.B. Gragg, SIAM. J. Matrix Anal. & Appl., 9(1), 61–76.
- ↑ http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADA262297 A Parallel Divide and Conquer Algorithm for the Generalized Real Symmetric Definite Tridiagonal Eigenproblem, C.F. Borges and W.B.Gragg, 1992
- ↑ http://link.springer.com/article/10.1007/BF01386438#page-2 A divide and conquer method for unitary and orthogonal eigenproblems, WB Gragg and L Reichel, Numerische Mathematik, 1990
- ↑ http://epubs.siam.org/doi/abs/10.1137/1014001 SIAM Rev., 14(1), 1–62. (62 pages) The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
External links
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