Charles Royal Johnson

{{short description|American mathematician}}

{{Infobox scientist

|image = C_Johnson.jpg

| name = Charles Royal Johnson

| birth_date = {{Birth date and age|1948|1|28|mf=y}}

| birth_place = Elkhart, Indiana, United States

| nationality = American

| field = Mathematics

| work_institution = {{plainlist|

}}

| alma_mater = Northwestern University, California Institute of Technology

| thesis_title = Matrices whose hermitian part is positive definite

| thesis_url = https://resolver.caltech.edu/CaltechTHESIS:04182016-160159252

| thesis_year = 1972

| doctoral_advisor = Olga Taussky Todd

| prizes =

| Erdős number =

| footnotes =

}}

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.{{cite web|url=http://www.wm.edu/as/mathematics/faculty/directory/johnson_c.php|title=College of William and Mary: faculty|publisher=Wm.edu|accessdate=27 October 2014|url-status=dead|archiveurl=https://web.archive.org/web/20141107053438/http://www.wm.edu/as/mathematics/faculty/directory/johnson_c.php|archivedate=7 November 2014}} The books Matrix Analysis and Topics in Matrix Analysis, co-written by him with Roger Horn, are standard texts in advanced linear algebra.{{cite book|title=Matrix Analysis|isbn=0521386322|last1=Horn|first1=Roger A.|last2=Johnson|first2=Charles R.|date=23 February 1990}}{{cite web|url=https://www.amazon.com/gp/product/0521467136/|title=Topics in Matrix Analysis: Roger A. Horn, Charles R. Johnson: 9780521467131: Amazon.com: Books|publisher=Amazon.com|accessdate=27 October 2014}}{{cite journal|author=Marcus, Marvin|author-link=Marvin Marcus|title=Review: Topics in Matrix Analysis, by Roger A. Horn and Charles R. Johnson|journal=Bull. Amer. Math. Soc. (N.S.)|year=1992|volume=27|issue=1|pages=191–198|url=https://www.ams.org/journals/bull/1992-27-01/S0273-0979-1992-00296-3/|doi=10.1090/s0273-0979-1992-00296-3|MR=1567985|doi-access=free}}

Career

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".{{cite web|url=https://thesis.library.caltech.edu/9680/1/Johnson_cr_1972.pdf|title=Matrices whose Hermitian Part is Positive Definite|publisher=caltech.edu|accessdate=27 July 2019|url-status=live|archive-url=https://web.archive.org/web/20181102193722/https://thesis.library.caltech.edu/9680/1/Johnson_cr_1972.pdf |archive-date=2018-11-02 }} 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.{{cn|date=September 2024}} He was a professor of mathematics at the College of William and Mary from 1987 to 2024.{{cite web|url = https://www.wm.edu/as/mathematics/faculty-directory/history/ | title = History: Listing of Mathematics Faculty, 1716 to the Present | access-date = 2024-09-03 | website = wm.edu}}

Books

  • {{cite book|author=Horn, Roger A.|author2=Johnson, Charles R.|url=https://books.google.com/books?id=PlYQN0ypTwEC|isbn = 9780521386326|title = Matrix Analysis|date = 23 February 1990|publisher = Cambridge University Press}} (1st edition 1985)
  • {{cite book|url=https://books.google.com/books?id=O7sgAwAAQBAJ|isbn = 9781139788885|title = Matrix Analysis|date = 22 October 2012|edition=2nd|publisher = Cambridge University Press}} {{cite book|title=2nd edition|year=2013|isbn=9780521548236|postscript=; pbk|last1=Horn |first1=Roger A. |last2=Johnson |first2=Charles R. }}{{cite web|author=Satzer, William J.|title=Review of Matrix Analysis, 2nd edition|date=January 14, 2013|website=MAA Reviews, Mathematical Association of America|url=https://www.maa.org/press/maa-reviews/matrix-analysis}}
  • {{cite book|author=Horn, Roger A.|author2=Johnson, Charles R.|url=https://books.google.com/books?id=LeuNXB2bl5EC|isbn = 9780521467131|title = Topics in Matrix Analysis|date = 24 June 1994|publisher = Cambridge University Press}} (1st edition 1991)
  • {{cite book|author=Fallat, Shaun M.|author2=Johnson, Charles R.|url=https://books.google.com/books?id=KF1V4tnTRtwC|isbn = 9781400839018|title = Totally Nonnegative Matrices|date = 11 April 2011|publisher = Princeton University Press}} {{cite book|title=cloth cover|isbn= 978-0-691-12157-4|last1= Fallat|first1= Shaun M.|last2= Johnson|first2= Charles R.|date= May 2011}}{{cite journal|last1=Garloff|first1=Jürgen|title=Review of Totally Nonnegative Matrices by Shaun M. Fallat and Charles R. Johnson|series=Princeton Series in Applied Mathematics|journal=Linear Algebra and Its Applications|volume=436|issue=9|year=2012|pages=3790–3792|issn=0024-3795|doi=10.1016/j.laa.2011.11.038|url=https://core.ac.uk/download/pdf/82272002.pdf|doi-access=free}}
  • {{cite book|author=Johnson, Charles R.|author2=Saiago, Carlos M.|url=https://books.google.com/books?id=gttLDwAAQBAJ|isbn = 9781108547031|title = Eigenvalues, Multiplicities and Graphs|date = 12 February 2018|series=Cambridge Tracts in Mathematics, 211|publisher = Cambridge University Press}}{{cite web|author=Bóna, Miklós|author-link=Miklós Bóna|title=Review of Eigenvalude, Multiplicities and Graphs by Charles R. Johnson and Carlos M. Saiago|date=May 29, 2018|website=MAA Reviews, Mathematical Association of America|url=https://www.maa.org/press/maa-reviews/eigenvalues-multiplicities-and-graphs}}
  • {{cite book|author=Johnson, Charles R.|author2=Smith, Ronald L.|author3=Tsatsomeros, Michael J.|url=https://books.google.com/books?id=L9X7DwAAQBAJ|isbn = 9781108478717|title = Matrix Positivity|date = October 2020|series=Cambridge Tracts in Mathematics, 221|publisher = Cambridge University Press}}{{cite web|author=Borchers, Brian|title=Review of Matrix Positivity by Charles R. Johnson, Ronald L. Smith, and Michael J. Tsatsomeros|website=MAA Reviews, Mathematical Association of America|date=December 20, 2020|url=https://www.maa.org/press/maa-reviews/matrix-positivity}}

= As editor =

  • {{cite book|editor=Johnson, Charles R.|url=https://books.google.com/books?id=KHrHCQAAQBAJ|isbn = 9780821801543|title = Matrix Theory and Applications|year = 1990|publisher = American Mathematical Society|series=Proceedings of Symposia in Applied Mathematics, volume 40|postscript=; Lecture notes prepared for the AMS short course "Matrix Theory and Applications" held in Phoenix, Arizona, January 10–11, 1989}}

References

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