Max A. Woodbury Explained

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.

Career

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] He obtained his doctorate at the University of Michigan in 1948 advised by Arthur Herbert Copeland. His dissertation was entitled Probability and Expected Values.

He was a member of the faculty, University of Michigan 1947-1949, Institute for Advanced Study in Princeton 1949-1950,[5] member of faculty Princeton University 1950-1952. He moved to be an associate professor in statistics at the University of Pennsylvania from 1952-1954.[6] After a brief leave at the Office of Naval Research 1954-1956,[7] he became faculty at New York University from 1956-1965,[8] [9] then a professor of computer science and biomathematics at Duke University.[10] [11] He became an emeritus professor at Duke, but continued to take an active role in research for many years.[12] [13]

Woodbury identity

The Woodbury matrix identity used in linear algebra is named after him.[14] [15] The related Sherman–Morrison formula is a special case of the formula,[16] [17] with the term Sherman-Morrison-Woodbury sometimes used. An early overview of some of its uses has been given by Hager,[18] see also the book "Woodbury Matrix Identity".[19] These methods are taught in many mathematics courses on linear algebra.

Awards

Notes and References

  1. Web site: United States Census, 1920, entry for Entry for Angus M Woodbury and Grace Woodbury . . 16 April 2024.
  2. News: 26 March 1944 . Utahns move ahead in U.S. Forces . 16 April 2024 . The Salt Lake Tribune.
  3. Tanner . Vasco M. . 1965 . Angus Munn Woodbury 1886-1964 . The Great Basin Naturalist . 25 . 81–88 . 10.5962/bhl.part.1717 . 0017-3614. free .
  4. Web site: 16 April 2024 . Max Atkin Woodbury, World War II Draft Registration Cards, 1940-1947 . .
  5. Web site: Max Woodbury, IAS Scholars record . 16 April 2024.
  6. News: 1 November 1954 . University of Pennsylvania Faculty Staff Newsletter . 17 April 2024 . 4.
  7. 1955 . News and Notices . The Annals of Mathematical Statistics . 26 . 1 . 163–188 . 2236774 . 0003-4851.
  8. 1956 . Meeting (includes Max Woodbury NYU as contact) . Journal of the Aeronautical Sciences . en . 23 . 12 . 1074 . 10.2514/8.3744 . 1936-9956.
  9. Calvey . George L . 1964 . The prediction of disease . US Navy Medical News Letter . 43 . 8 . 6.
  10. Woodbury . Max . Longitudinal Models of Correlates of Aging and Longevity . US NIH Grant Database . en.
  11. Random Numbers Behaving Too Orderly? . 2021-08-01 . 10.1126/article.40319 . en.
  12. Web site: 2000-12-01 . Duke University Alumni Magazine . 2024-04-17 . Duke . en.
  13. Web site: Publications of Max A. Woodbury at Duke and elsewhere . 17 April 2024 . Research Gate.
  14. Max A. Woodbury, Inverting modified matrices, Memorandum Rept. 42, Statistical Research Group, Princeton University, Princeton, NJ, 1950, 4pp
  15. Max A. Woodbury, The Stability of Out-Input Matrices. Chicago, Ill., 1949. 5 pp.
  16. Jack . Sherman . Winifred J. . Morrison . 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 . 1949 . 10.1214/aoms/1177729959. free.
  17. Jack . Sherman . Winifred J. . Morrison . Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix . . 21 . 1 . 124 - 127 . 1950 . 10.1214/aoms/1177729893 . 35118 . 0037.00901. free .
  18. Hager . William W. . 1989 . Updating the Inverse of a Matrix . SIAM Review . en . 31 . 2 . 221–239 . 10.1137/1031049 . 0036-1445.
  19. Book: Surhone . Lambert M. . Woodbury Matrix Identity . Timpledon . Miriam T. . Marseken . Susan F. . 2010 . VDM Publishing . 978-613-1-18691-2 . en.
  20. Web site: American Statistical Association . 2024-04-17 . American Statistical Association.
  21. Web site: Institute of Mathematical Statistics Honored IMS Fellows . 2024-04-17 . en.