American mathematician
Charles Royal Johnson (born January 28, 1948) is an American mathematician specializing in linear algebra . He was a Class of 1961 professor of mathematics at College of William and Mary .[ 1] The books Matrix Analysis and Topics in Matrix Analysis , co-written by him with Roger Horn , are standard texts in advanced linear algebra.[ 2] [ 3] [ 4]
Johnson received a B.A. with distinction in Mathematics and Economics from Northwestern University in 1969. In 1972, he received a Ph.D. in Mathematics and Economics from the California Institute of Technology , where he was advised by Olga Taussky Todd ; his dissertation was entitled "Matrices whose Hermitian Part is Positive Definite".[ 5] Johnson held various professorships over ten years at the University of Maryland, College Park starting in 1974. He was a professor at Clemson University from 1984 to 1987.[citation needed ] He was a professor of mathematics at the College of William and Mary from 1987 to 2024.[ 6]
Horn, Roger A.; Johnson, Charles R. (23 February 1990). Matrix Analysis . Cambridge University Press. ISBN 9780521386326 . (1st edition 1985)
Horn, Roger A.; Johnson, Charles R. (24 June 1994). Topics in Matrix Analysis . Cambridge University Press. ISBN 9780521467131 . (1st edition 1991)[ 4]
Fallat, Shaun M.; Johnson, Charles R. (11 April 2011). Totally Nonnegative Matrices . Princeton University Press. ISBN 9781400839018 . Fallat, Shaun M.; Johnson, Charles R. (May 2011). cloth cover . ISBN 978-0-691-12157-4 . [ 8]
Johnson, Charles R.; Saiago, Carlos M. (12 February 2018). Eigenvalues, Multiplicities and Graphs . Cambridge Tracts in Mathematics, 211. Cambridge University Press. ISBN 9781108547031 . [ 9]
Johnson, Charles R.; Smith, Ronald L.; Tsatsomeros, Michael J. (October 2020). Matrix Positivity . Cambridge Tracts in Mathematics, 221. Cambridge University Press. ISBN 9781108478717 . [ 10]
Johnson, Charles R., ed. (1990). Matrix Theory and Applications . Proceedings of Symposia in Applied Mathematics, volume 40. American Mathematical Society. ISBN 9780821801543 ; Lecture notes prepared for the AMS short course "Matrix Theory and Applications" held in Phoenix, Arizona, January 10–11, 1989 {{cite book }}
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^ "College of William and Mary: faculty" . Wm.edu. Archived from the original on 7 November 2014. Retrieved 27 October 2014 .
^ Horn, Roger A.; Johnson, Charles R. (23 February 1990). Matrix Analysis . ISBN 0521386322 .
^ "Topics in Matrix Analysis: Roger A. Horn, Charles R. Johnson: 9780521467131: Amazon.com: Books" . Amazon.com. Retrieved 27 October 2014 .
^ a b Marcus, Marvin (1992). "Review: Topics in Matrix Analysis , by Roger A. Horn and Charles R. Johnson" . Bull. Amer. Math. Soc. (N.S.) . 27 (1): 191–198. doi :10.1090/s0273-0979-1992-00296-3 . MR 1567985 .
^ "Matrices whose Hermitian Part is Positive Definite" (PDF) . caltech.edu. Archived (PDF) from the original on 2018-11-02. Retrieved 27 July 2019 .
^ "History: Listing of Mathematics Faculty, 1716 to the Present" . wm.edu . Retrieved 2024-09-03 .
^ Satzer, William J. (January 14, 2013). "Review of Matrix Analysis , 2nd edition" . MAA Reviews, Mathematical Association of America .
^ Garloff, Jürgen (2012). "Review of Totally Nonnegative Matrices by Shaun M. Fallat and Charles R. Johnson" (PDF) . Linear Algebra and Its Applications . Princeton Series in Applied Mathematics. 436 (9): 3790–3792. doi :10.1016/j.laa.2011.11.038 . ISSN 0024-3795 .
^ Bóna, Miklós (May 29, 2018). "Review of Eigenvalude, Multiplicities and Graphs by Charles R. Johnson and Carlos M. Saiago" . MAA Reviews, Mathematical Association of America .
^ Borchers, Brian (December 20, 2020). "Review of Matrix Positivity by Charles R. Johnson, Ronald L. Smith, and Michael J. Tsatsomeros" . MAA Reviews, Mathematical Association of America .
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