Charles Royal Johnson

Short description: American mathematician

Charles Royal Johnson

Born|  (1948-01-28) January 28, 1948 (age 76)

Elkhart, Indiana, United States

Nationality| American
Alma mater| Northwestern University, California Institute of Technology
Scientific career
Fields| Mathematics
Institutions|

* University of Maryland, College Park
* Clemson University
* College of William and Mary

Thesis| Matrices whose hermitian part is positive definite (1972)
Doctoral advisor| Olga Taussky Todd

Charles Royal Johnson (born January 28, 1948) is an American mathematician specializing in linear algebra. He is 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]

## Contents

* 1 Career
* 2 Books
* 3 as editor
* 4 References
* 5 External links

## Career

Charles R. 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. In 1987, he became a professor of mathematics at the College of William and Mary, where he remains today.

## Books

* Horn, Roger A.; Johnson, Charles R. (23 February 1990). Matrix Analysis. Cambridge University Press. ISBN 9780521386326. https://books.google.com/books?id=PlYQN0ypTwEC. (1st edition 1985)
* Matrix Analysis (2nd ed.). Cambridge University Press. 22 October 2012. ISBN 9781139788885. https://books.google.com/books?id=O7sgAwAAQBAJ. Horn, Roger A.; Johnson, Charles R. (2013). 2nd edition. ISBN 9780521548236; pbk [6]
* Horn, Roger A.; Johnson, Charles R. (24 June 1994). Topics in Matrix Analysis. Cambridge University Press. ISBN 9780521467131. https://books.google.com/books?id=LeuNXB2bl5EC. (1st edition 1991)[7]
* Fallat, Shaun M.; Johnson, Charles R. (11 April 2011). Totally Nonnegative Matrices. Princeton University Press. ISBN 9781400839018. https://books.google.com/books?id=KF1V4tnTRtwC. 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. https://books.google.com/books?id=gttLDwAAQBAJ. [9]
* Johnson, Charles R.; Smith, Ronald L.; Tsatsomeros, Michael J. (October 2020). Matrix Positivity. Cambridge Tracts in Mathematics, 221. Cambridge University Press. ISBN 9781108478717. https://books.google.com/books?id=L9X7DwAAQBAJ. [10]

## as editor

* Johnson, Charles R., ed (1990). Matrix Theory and Applications. Proceedings of Symposia in Applied Mathematics, volume 40. American Mathematical Society. ISBN 9780821801543. https://books.google.com/books?id=KHrHCQAAQBAJ; Lecture notes prepared for the AMS short course "Matrix Theory and Applications" held in Phoenix, Arizona, January 10–11, 1989

## References

1. ↑ "College of William and Mary: faculty". Wm.edu. Archived from the original on 7 November 2014. https://web.archive.org/web/20141107053438/http://www.wm.edu/as/mathematics/faculty/directory/johnson_c.php. 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. https://www.amazon.com/gp/product/0521467136/. Retrieved 27 October 2014.
4. ↑ 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. https://www.ams.org/journals/bull/1992-27-01/S0273-0979-1992-00296-3/.
5. ↑ "Matrices whose Hermitian Part is Positive Definite". caltech.edu. https://thesis.library.caltech.edu/9680/1/Johnson_cr_1972.pdf. Retrieved 27 July 2019.
6. ↑ Satzer, William J. (January 14, 2013). "Review of Matrix Analysis, 2nd edition". https://www.maa.org/press/maa-reviews/matrix-analysis.
7. ↑ Marcus, Marvin (1992). "Book Review: Topics in matrix analysis". Bulletin of the American Mathematical Society 27 (1): 191–199. doi:10.1090/S0273-0979-1992-00296-3. ISSN 0273-0979.
8. ↑ Garloff, Jürgen (2012). "Review of Totally Nonnegative Matrices by Shaun M. Fallat and Charles R. Johnson". 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. https://core.ac.uk/download/pdf/82272002.pdf.
9. ↑ Bóna, Miklós (May 29, 2018). "Review of Eigenvalude, Multiplicities and Graphs by Charles R. Johnson and Carlos M. Saiago". https://www.maa.org/press/maa-reviews/eigenvalues-multiplicities-and-graphs.
10. ↑ Borchers, Brian (December 20, 2020). "Review of Matrix Positivity by Charles R. Johnson, Ronald L. Smith, and Michael J. Tsatsomeros". https://www.maa.org/press/maa-reviews/matrix-positivity.

## External links

* Charles Royal Johnson at the Mathematics Genealogy Project
* Charles Royal Johnson Curriculum Vitae

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