Newton's method

algorithm for finding a zero of a function
Place root_finding_algorithm Q374195
Press Enter · cited answer in seconds

Newton's method

Summary

Newton's method is a root-finding algorithm[1]. It ranks in the top 5% of root_finding_algorithm entities by monthly Wikipedia readership (1,261 views/month).[2]

Key Facts

  • Newton's method's video is recorded as Newton-Raphson method.gif[3].
  • Newton's method's video is recorded as Metodo de Newton anime.gif[4].
  • Newton's method's video is recorded as NewtonIteration Ani.gif[5].
  • Newton's method's image is recorded as Methode Newton.svg[6].
  • Newton's method's instance of is recorded as root-finding algorithm[7].
  • Newton's method's instance of is recorded as approximation algorithm[8].
  • Isaac Newton is named after Newton's method[9].
  • Joseph Raphson is named after Newton's method[10].
  • Newton's method's Library of Congress authority ID is recorded as sh92005466[11].
  • Newton's method's Commons category is recorded as Newton Method[12].
  • Newton's method's Freebase ID is recorded as /m/05k6t[13].
  • Newton's method's Encyclopædia Britannica Online ID is recorded as topic/Newtons-iterative-method[14].
  • Newton's method's different from is recorded as Newton's method in optimization[15].
  • Newton's method's computes solution to is recorded as zero of a function[16].
  • Newton's method's defining formula is recorded as x_{n+1} = x_{n} - \frac{f(x_{n})}{f'(x_{n})}[17].
  • Newton's method's MathWorld ID is recorded as NewtonsMethod[18].
  • Newton's method's nLab ID is recorded as Newton's method[19].
  • Newton's method's schematic is recorded as Newton iteration.svg[20].
  • Newton's method's schematic is recorded as Metodo delle tangenti.png[21].
  • Newton's method's maintained by WikiProject is recorded as WikiProject Mathematics[22].
  • Newton's method's Microsoft Academic ID is recorded as 85189116[23].
  • Newton's method's Brilliant Wiki ID is recorded as newton-raphson-method[24].
  • Newton's method's in defining formula is recorded as f(x)[25].
  • Newton's method's in defining formula is recorded as f'(x)[26].
  • Newton's method's in defining formula is recorded as x_{n+1}[27].

Body

Designation and Status

Recorded instance of include root-finding algorithm[7] and approximation algorithm[8].

History and Context

Things named after include Isaac Newton[9], a mathematician[28], 1642–1727[29], of Kingdom of England[30], awarded the Knight Bachelor[31], specialised in physics[32] and Joseph Raphson[10], a mathematician[33], 1668–1715[34], of Kingdom of Great Britain[35], awarded the Fellow of the Royal Society[36], specialised in mathematics[37].

Why It Matters

Newton's method ranks in the top 5% of root_finding_algorithm entities by monthly Wikipedia readership (1,261 views/month).[2] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[38] It is known by 51 alternative names across languages and contexts.[39]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . github.com. Retrieved . github.com. Provenance: wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . Freebase Data Dumps. wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Inline context (facts about related entities)

  1. [28] . Wikidata. wikidata.org. → on this site
  2. [29] . Wikidata. wikidata.org. → on this site
  3. [30] . Wikidata. wikidata.org. → on this site
  4. [31] . Wikidata. wikidata.org. → on this site
  5. [32] . Wikidata. wikidata.org. → on this site
  6. [33] . Wikidata. wikidata.org. → on this site
  7. [34] . Wikidata. wikidata.org. → on this site
  8. [35] . Wikidata. wikidata.org. → on this site
  9. [36] . Wikidata. wikidata.org. → on this site
  10. [37] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [38] . Wikidata sitelinks. wikidata.org.
  3. [39] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Newton's method. Retrieved May 3, 2026, from https://4ort.xyz/entity/newton-s-method
MLA “Newton's method.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/newton-s-method.
BibTeX @misc{4ortxyz_newton-s-method_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Newton's method}}, year = {2026}, url = {https://4ort.xyz/entity/newton-s-method}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Newton's method — https://4ort.xyz/entity/newton-s-method (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/newton-s-method · Last refreshed: