Editing Horner's method (section)

== References ==
{{refbegin}}
*{{cite journal
 | last = Berggren
 | first = J. L.
 | year = 1990
 | title = Innovation and Tradition in Sharaf al-Din al-Tusi's Muadalat
 | journal = Journal of the American Oriental Society
 | volume = 110
 | issue = 2
 | pages = 304–309
 | doi = 10.2307/604533
 | jstor = 604533
 }}
*{{cite journal
 | last = Cajori
 | first = Florian
 | author-link = Florian Cajori
 | title = Horner's method of approximation anticipated by Ruffini
 | journal = Bulletin of the American Mathematical Society
 | volume = 17
 | number = 8
 | pages = 409–414
 | year = 1911
 | url = http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&handle=euclid.bams/1183421253
 | doi = 10.1090/s0002-9904-1911-02072-9
 | doi-access = free
 | access-date = 2012-03-04
 | archive-date = 2017-09-04
 | archive-url = https://web.archive.org/web/20170904152220/http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&handle=euclid.bams%2F1183421253
 | url-status = live
 }} Read before the Southwestern Section of the American Mathematical Society on November 26, 1910.
*{{cite journal
 | last1 = Cormen
 | first1 = Thomas H.
 | author1-link = Thomas H. Cormen
 | last2 = Leiserson
 | first2 = Charles E.
 | author2-link = Charles E. Leiserson
 | last3 = Rivest
 | first3 = Ronald L.
 | author3-link = Ron Rivest
 | last4 = Stein10.1016/0315-0860(81)90069-0
 | first4 = Clifford
 | author4-link = Clifford Stein
 | title = Introduction to Algorithms
 | journal = Historia Mathematica
 | volume = 8
 | issue = 3
 | pages = 277–318
 | edition = 3rd
 | year = 2009
 | publisher = MIT Press
| doi = 10.1016/0315-0860(81)90069-0
 | doi-access = free
 }}
*{{cite report
 | last1 = Fateman
 | first1 = R. J.
 | author-link1 = Richard Fateman
 | last2 = Kahan
 | first2 = W.
 | author-link2 = William Kahan
 | title = Improving exact integrals from symbolic algebra systems
 | series = PAM
 | number = 386
 | year = 2000
 | institution = Center for Pure and Applied Mathematics
 | location = University of California, Berkeley
 | url = https://people.eecs.berkeley.edu/~fateman/papers/nform.pdf
 | access-date = 2018-05-17
 | archive-url = https://web.archive.org/web/20170814190521/https://people.eecs.berkeley.edu/~fateman/papers/nform.pdf
 | archive-date = 2017-08-14
 | url-status = dead
 }}
*{{cite journal
 | last = Fuller
 | first = A. T.
 | title = Horner versus Holdred: An Episode in the History of Root Computation
 | journal = Historia Mathematica
 | volume = 26
 | year = 1999
 | doi = 10.1006/hmat.1998.2214
 | pages=29–51
| doi-access = free
 }}
*{{cite book
 | last = Higham
 | first = Nicholas
 | year = 2002
 | title = Accuracy and Stability of Numerical Algorithms
 | publisher = SIAM
 | isbn = 978-0-89871-521-7
}}
*{{cite book
 | last = Holdred
 | first = T.
 | year = 1820
 | url = http://turing.une.edu.au/~ernie/Horner/Holdred1820.pdf
 | title = A New Method of Solving Equations with Ease and Expedition; by which the True Value of the Unknown Quantity is Found Without Previous Reduction. With a Supplement, Containing Two Other Methods of Solving Equations, Derived from the Same Principle
 | publisher = Richard Watts
 | access-date = 2012-12-10
 | archive-url = https://web.archive.org/web/20140106040238/http://turing.une.edu.au/~ernie/Horner/Holdred1820.pdf
 | archive-date = 2014-01-06
 | url-status = dead
 }}
*: Holdred's method is in the supplement following page numbered 45 (which is the 52nd page of the pdf version).
*{{cite journal|last = Horner|first = William George|author-link = William George Horner|date = July 1819|title = A new method of solving numerical equations of all orders, by continuous approximation|journal = Philosophical Transactions|publisher = Royal Society of London|volume = 109|pages = 308–335|jstor = 107508|doi = 10.1098/rstl.1819.0023|s2cid = 186210512|doi-access = }}
*: Directly available online via the link, but also reprinted with appraisal in D.E. Smith: ''A Source Book in Mathematics'', McGraw-Hill, 1929; Dover reprint, 2 vols, 1959.
*{{cite book
 | last = Knuth
 | first = Donald
 | author-link = Donald Knuth
 | title = The Art of Computer Programming
 | volume = 2: Seminumerical Algorithms
 | edition = 3rd
 | year = 1997
 | publisher = Addison-Wesley
 | isbn = 978-0-201-89684-8
 | pages = 486–488 in section 4.6.4
}}
*{{cite book
 | last = Kress
 | first = Rainer
 | title = Numerical Analysis
 | publisher = Springer
 | year = 1991
}}
*{{cite journal
 | last = Kripasagar 
 | first =  Venkat
 | title = Efficient Micro Mathematics &ndash; Multiplication and Division Techniques for MCUs
 | journal = Circuit Cellar Magazine
 | issue = 212
 | date = March 2008
}}
*{{cite book
 | last = Libbrecht
 | first = Ulrich
 | title = Chinese Mathematics in the Thirteenth Century
 | chapter = Chapter 13
 | edition = 2nd
 | year = 2005
 | publisher = Dover
 | isbn = 978-0-486-44619-6
 | chapter-url = http://store.doverpublications.com/0486446190.html
 | access-date = 2016-08-23
 | archive-date = 2017-06-06
 | archive-url = https://web.archive.org/web/20170606084226/http://store.doverpublications.com/0486446190.html
 | url-status = dead
 }}
*{{cite book
 | last = Mikami
 | first = Yoshio
 | title = The Development of Mathematics in China and Japan
 | chapter = Chapter 11. Ch'in Chiu-Shao
 | edition = 1st
 | year = 1913
 | publisher = Chelsea Publishing Co reprint
 | pages = 74–77
 | chapter-url = https://archive.org/stream/treatiseindynami033561mbp#page/n89/mode/2up
 }} <!-- Yes, really! It looks as though the link is taking you to a completely different work, but you end up at Mikami's book, as you find on checking the specified pages. -->
*{{cite book
 | last = Ostrowski
 | first = Alexander M.
 | year = 1954
 | chapter = On two problems in abstract algebra connected with Horner's rule
 | title = Studies in Mathematics and Mechanics presented to Richard von Mises
 | pages = 40–48
 | publisher = Academic Press
 | isbn = 978-1-4832-3272-0
 | chapter-url = http://www.sciencedirect.com/science/book/9781483232720
 | access-date = 2016-08-23
 | archive-date = 2019-04-15
 | archive-url = https://web.archive.org/web/20190415045523/http://www.sciencedirect.com/science/book/9781483232720
 | url-status = live
 }}
*{{cite journal
 | last = Pan
 | first = Y. Ja
 | year = 1966
 | title = On means of calculating values of polynomials
 | journal = Russian Math. Surveys
 | volume = 21
 | pages = 105–136
 | doi = 10.1070/rm1966v021n01abeh004147
| s2cid = 250869179
 }}
*{{cite journal
 | last = Pankiewicz
 | first = W.
 | title = Algorithm 337: calculation of a polynomial and its derivative values by Horner scheme
 | journal = [[Communications of the ACM]]
 | volume = 11
 | issue = 9
 | year = 1968
 | page = 633
 | publisher = ACM
 | doi=10.1145/364063.364089
| s2cid = 52859619
 | doi-access = free
 }}
*{{cite book
 | last = Spiegel
 | first = Murray R.
 | title = Schaum's Outline of Theory and Problems of College Algebra
 | url = https://archive.org/details/schaumsoutlineof00murr
 | url-access = registration
 | year = 1956
 | publisher = McGraw-Hill
 | isbn = 9780070602267
 }}
*{{cite book
 | last = Temple
 | first = Robert
 | year = 1986
 | title = The Genius of China: 3,000 Years of Science, Discovery, and Invention
 | publisher = Simon and Schuster
 | isbn = 978-0-671-62028-8
}}
* {{cite book
 | last1 = Whittaker
 | first1 = E.T.
 | author1-link = E. T. Whittaker
 | last2 = Robinson
 | first2 = G.
 | title = The Calculus of Observations
 | location = London
 | year = 1924
 | publisher = Blackie
 | url = https://archive.org/stream/calculusofobserv031400mbp#page/n119/mode/2up/search/100
 }}
* {{cite book
 | last = Wylie
 | first = Alexander
 | title = Chinese Researches
 | chapter = Jottings on the Science of Chinese Arithmetic
 | year = 1897
 | pages = 159–194
 | location = Shanghai
 | chapter-url = https://archive.org/details/chineseresearche00wyliuoft
 }}
*: Reprinted from issues of ''The North China Herald'' (1852).
{{refend}}