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Max A. Woodbury

From Wikipedia, the free encyclopedia

Max Atkin Woodbury (1917–2010) was an American mathematician. He was born in St George, Utah to Angus Munn Woodbury and Grace (Atkin) Woodbury.[1][2][3] He had three brothers and two sisters, including the biologists Dixon Miles Woodbury and John Walter Woodbury.[3]

Career

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He received his Bachelor of Science from the University of Utah in 1939, Master of Science from the University of Michigan in 1941 and metrology at Massachusetts Institute of Technology.[4][2] He obtained his doctorate at the University of Michigan in 1948 advised by Arthur Herbert Copeland. His dissertation was entitled Probability and Expected Values.[5]

He was a member of the faculty, University of Michigan 1947-1949, Institute for Advanced Study in Princeton 1949-1950,[6] member of faculty Princeton University 1950-1952.[7] He moved to be an associate professor in statistics at the University of Pennsylvania from 1952-1954.[8] After a brief leave at the Office of Naval Research 1954-1956,[9] he became faculty at New York University from 1956-1965,[10][11] then a professor of computer science and biomathematics at Duke University.[12][13] He became an emeritus professor at Duke, but continued to take an active role in research for many years.[14][15]

Woodbury identity

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The Woodbury matrix identity used in linear algebra is named after him.[7][16] The related Sherman–Morrison formula is a special case of the formula,[17][18][19] with the term Sherman-Morrison-Woodbury sometimes used. An early overview of some of its uses has been given by Hager,[20] see also the book "Woodbury Matrix Identity".[21] These methods are taught in many mathematics courses on linear algebra.

Awards

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References

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  1. ^ "United States Census, 1920, entry for Entry for Angus M Woodbury and Grace Woodbury". FamilySearch. Retrieved 16 April 2024.
  2. ^ a b "Utahns move ahead in U.S. Forces". The Salt Lake Tribune. 26 March 1944. Retrieved 16 April 2024.
  3. ^ a b Tanner, Vasco M. (1965). "Angus Munn Woodbury 1886-1964". The Great Basin Naturalist. 25: 81–88. doi:10.5962/bhl.part.1717. ISSN 0017-3614.
  4. ^ "Max Atkin Woodbury, World War II Draft Registration Cards, 1940-1947". FamilySearch. 16 April 2024.
  5. ^ Max A. Woodbury at the Mathematics Genealogy Project
  6. ^ "Max Woodbury, IAS Scholars record". Retrieved 16 April 2024.
  7. ^ a b Max A. Woodbury, Inverting modified matrices, Memorandum Rept. 42, Statistical Research Group, Princeton University, Princeton, NJ, 1950, 4pp MR38136
  8. ^ "University of Pennsylvania Faculty Staff Newsletter" (PDF). 1 November 1954. p. 4. Retrieved 17 April 2024.
  9. ^ "News and Notices". The Annals of Mathematical Statistics. 26 (1): 163–188. 1955. ISSN 0003-4851. JSTOR 2236774.
  10. ^ "Meeting (includes Max Woodbury NYU as contact)". Journal of the Aeronautical Sciences. 23 (12): 1074. 1956. doi:10.2514/8.3744. ISSN 1936-9956.
  11. ^ Calvey, George L (1964). "The prediction of disease" (PDF). US Navy Medical News Letter. 43 (8): 6.
  12. ^ Woodbury, Max. "Longitudinal Models of Correlates of Aging and Longevity". US NIH Grant Database.
  13. ^ Random Numbers Behaving Too Orderly? (Report). 2021-08-01. doi:10.1126/article.40319.
  14. ^ "Duke University Alumni Magazine". Duke. 2000-12-01. Retrieved 2024-04-17.
  15. ^ "Publications of Max A. Woodbury at Duke and elsewhere". Research Gate. Retrieved 17 April 2024.
  16. ^ Max A. Woodbury, The Stability of Out-Input Matrices. Chicago, Ill., 1949. 5 pp. MR32564
  17. ^ Sherman, Jack; Morrison, Winifred J. (1949). "Adjustment of an Inverse Matrix Corresponding to Changes in the Elements of a Given Column or a Given Row of the Original Matrix (abstract)". Annals of Mathematical Statistics. 20: 621. doi:10.1214/aoms/1177729959.
  18. ^ Sherman, Jack; Morrison, Winifred J. (1950). "Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix". Annals of Mathematical Statistics. 21 (1): 124–127. doi:10.1214/aoms/1177729893. MR 0035118. Zbl 0037.00901.
  19. ^ Press, William H.; Teukolsky, Saul A.; Vetterling, William T.; Flannery, Brian P. (2007), "Section 2.7.1 Sherman–Morrison Formula", Numerical Recipes: The Art of Scientific Computing (3rd ed.), New York: Cambridge University Press, ISBN 978-0-521-88068-8, archived from the original on 2012-03-19, retrieved 2011-08-08
  20. ^ Hager, William W. (1989). "Updating the Inverse of a Matrix". SIAM Review. 31 (2): 221–239. doi:10.1137/1031049. ISSN 0036-1445.
  21. ^ Surhone, Lambert M.; Timpledon, Miriam T.; Marseken, Susan F. (2010). Woodbury Matrix Identity. VDM Publishing. ISBN 978-613-1-18691-2.
  22. ^ "American Statistical Association". American Statistical Association. Retrieved 2024-04-17.
  23. ^ "Institute of Mathematical Statistics | Honored IMS Fellows". Retrieved 2024-04-17.