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]

Charles Royal Johnson
Born (1948-01-28) January 28, 1948 (age 76)
Elkhart, Indiana, United States
NationalityAmerican
Alma materNorthwestern University, California Institute of Technology
Scientific career
FieldsMathematics
Institutions
ThesisMatrices whose hermitian part is positive definite (1972)
Doctoral advisorOlga Taussky Todd

Career

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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]

Books

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  • 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]

As editor

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  • 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}}: CS1 maint: postscript (link)

References

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  1. ^ "College of William and Mary: faculty". Wm.edu. Archived from the original on 7 November 2014. Retrieved 27 October 2014.
  2. ^ Horn, Roger A.; Johnson, Charles R. (23 February 1990). Matrix Analysis. ISBN 0521386322.
  3. ^ "Topics in Matrix Analysis: Roger A. Horn, Charles R. Johnson: 9780521467131: Amazon.com: Books". Amazon.com. Retrieved 27 October 2014.
  4. ^ 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.
  5. ^ "Matrices whose Hermitian Part is Positive Definite" (PDF). caltech.edu. Archived (PDF) from the original on 2018-11-02. Retrieved 27 July 2019.
  6. ^ "History: Listing of Mathematics Faculty, 1716 to the Present". wm.edu. Retrieved 2024-09-03.
  7. ^ Satzer, William J. (January 14, 2013). "Review of Matrix Analysis, 2nd edition". MAA Reviews, Mathematical Association of America.
  8. ^ 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.
  9. ^ 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.
  10. ^ 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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