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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〔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.〕 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,〔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〕 superfast solution of Toeplitz systems,〔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.〕 parallel algorithms for solving eigenvalue problems,〔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〕 as well as his exposition on the Pade table and its relation to a great number of algorithms in numerical analysis.〔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 〕 ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「William B. Gragg」の詳細全文を読む スポンサード リンク
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