Roger Alan Horn (born January 19, 1942) is an American mathematician specializing inmatrix analysis. He was research professor of mathematics at theUniversity of Utah. He is known for formulating theBateman–Horn conjecture withPaul T. Bateman on the density ofprime number values generated by systems ofpolynomials.^[2] His booksMatrix Analysis andTopics in Matrix Analysis, co-written withCharles R. Johnson, are standard texts in advanced linear algebra.^[3][4][5]

Roger Horn graduated fromCornell University with high honors in mathematics in 1963,^[6] after which he completed his PhD atStanford University in 1967. Horn was the founder and chair of the Department of Mathematical Sciences atJohns Hopkins University from 1972 to 1979.^[7] As chair, he held a series of short courses for a monograph series published by theJohns Hopkins Press. He invitedGene Golub andCharles Van Loan to write a monograph, which later became the seminalMatrix Computations text book.^[8] He later joined the Department of Mathematics at theUniversity of Utah as research professor. In 2007, the journalLinear Algebra and its Applications published a special issue in honor of Roger Horn.^[9] He was Editor ofThe American Mathematical Monthly during 1997–2001.

In 1987, Horn submitted testimony to the US Senate Subcommittee on Transportation regarding the1987 Maryland train collision which killed his 16-year-old daughterCeres who was returning toPrinceton 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.

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