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**Roger Alan Horn** (born January 19, 1942) is an American mathematician specializing in matrix analysis. He was research professor of mathematics at the University of Utah. He is known for formulating the Bateman–Horn conjecture with Paul T. Bateman on the density of prime number values generated by systems of polynomials.^{[2]} His books *Matrix Analysis* and *Topics in Matrix Analysis*, co-written with Charles R. Johnson, are standard texts in advanced linear algebra.^{[3]}^{[4]}^{[5]}

Roger Alan Horn | |
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Born | ^{[1]} | January 19, 1942

Nationality | American |

Alma mater | Cornell University (BS) Stanford University (PhD) |

Known for | Matrix analysis Bateman-Horn conjecture |

Spouse | Susan Horn |

Scientific career | |

Fields | Mathematics |

Institutions | University of Santa Clara Johns Hopkins University University of Maryland, Baltimore County University of Utah |

Thesis | Infinitely Divisible Matrices, Kernels, and Functions (1967) |

Doctoral advisor | Donald C. Spencer, Charles Loewner |

Roger Horn graduated from Cornell University with high honors in mathematics in 1963,^{[6]} after which he completed his PhD at Stanford University in 1967. Horn was the founder and chair of the Department of Mathematical Sciences at Johns Hopkins University from 1972 to 1979.^{[7]} As chair, he held a series of short courses for a monograph series published by the Johns Hopkins Press. He invited Gene Golub and Charles Van Loan to write a monograph, which later became the seminal *Matrix Computations* text book.^{[8]} He later joined the Department of Mathematics at the University of Utah as research professor. In 2007, the journal Linear Algebra and its Applications published a special issue in honor of Roger Horn.^{[9]} He was Editor of The American Mathematical Monthly during 1997–2001.

In 1987, Horn submitted testimony to the US Senate Subcommittee on Transportation regarding the 1987 Maryland train collision which killed his 16-year-old daughter Ceres who was returning to Princeton University from the family home in Baltimore for her freshman year fall term final exams.^{[10]}

- Horn, Roger Alan; Johnson, Charles Royal (2018) [1985].
*Matrix Analysis*(2nd ed.). Cambridge University Press. ISBN 978-0-521-54823-6. - Horn, Roger Alan; Johnson, Charles Royal (1991).
*Topics in Matrix Analysis*. Cambridge University Press. ISBN 0-521-46713-6. - Garcia, Stephan Ramon; Horn, Roger Alan (2023) [2017].
*Matrix Mathematics: A Second Course in Linear Algebra*(2nd ed.). Cambridge University Press. ISBN 978-1-108-83710-1.

**^**Bhatia, Rajendra; Kittaneh, Fuad; Mathias, Roy; Zhan, Xingzhi (2007). "Special issue dedicated to Roger Horn".*Linear Algebra and Its Applications*.**424**(1): 1–2. doi:10.1016/j.laa.2007.02.014.**^**Bateman, Paul T.; Horn, Roger A. (1962), "A heuristic asymptotic formula concerning the distribution of prime numbers",*Mathematics of Computation*,**16**(79): 363–367, doi:10.2307/2004056, JSTOR 2004056, MR 0148632**^**Horn, Roger A.; Johnson, Charles R. (1990-02-23).*Topics in Matrix Analysis*. Cambridge University Press. ISBN 0521386322.**^**"Topics in Matrix Analysis: Roger A. Horn, Charles R. Johnson: 9780521467131: Amazon.com: Books".*Amazon*. Retrieved 27 October 2014.**^**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.**^**"The Class of 1963".*The Cornell Daily Sun*.**79**(151): 20. 7 June 1963. Retrieved 13 February 2017.**^**"Department History".*Department of Applied Mathematics & Statistics*. Johns Hopkins University. Retrieved 13 February 2017.**^**Chan, Raymond H.; Greif, Chen; O'Leary, Dianne P. (2007).*Milestones in Matrix Computation: Selected Works of Gene H. Golub, with commentaries*. Oxford: Oxford Univ. Press. p. 10. ISBN 978-0199206810.**^**"Special Issue in honor of Roger Horn".*Linear Algebra and Its Applications*.**424**(1): 1–338. 1 July 2007. doi:10.1016/j.laa.2007.02.014.**^***Remarks on Transportation Safety, Based on Testimony to the Senate Subcommittee on Transportation, Committee on Appropriations April 9 and May 13, 1987*. 1 January 1989. pp. 415–423.