Root-finding algorithm (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Root-finding algorithm" in English language version.

refsWebsite

Global rank English rank

7doi.org

2^nd place

6worldcat.org

5^th place

5semanticscholar.org

11^th place

8^th place

1nrbook.com

low place

1libretexts.org

3,627^th place

2,467^th place

1siam.org

low place

6,473^rd place

1springer.com

274^th place

309^th place

doi.org (Global: 2^nd place; English: 2^nd place)

Pan, Victor Y. (January 1997). "Solving a Polynomial Equation: Some History and Recent Progress". SIAM Review. 39 (2): 187–220. doi:10.1137/S0036144595288554. ISSN 0036-1445.
Mourrain, B.; Vrahatis, M. N.; Yakoubsohn, J. C. (2002-06-01). "On the Complexity of Isolating Real Roots and Computing with Certainty the Topological Degree". Journal of Complexity. 18 (2): 612–640. doi:10.1006/jcom.2001.0636. ISSN 0885-064X.
Vrahatis, Michael N. (2020). "Generalizations of the Intermediate Value Theorem for Approximating Fixed Points and Zeros of Continuous Functions". In Sergeyev, Yaroslav D.; Kvasov, Dmitri E. (eds.). Numerical Computations: Theory and Algorithms. Lecture Notes in Computer Science. Vol. 11974. Cham: Springer International Publishing. pp. 223–238. doi:10.1007/978-3-030-40616-5_17. ISBN 978-3-030-40616-5. S2CID 211160947.
Stenger, Frank (1975-03-01). "Computing the topological degree of a mapping inRn". Numerische Mathematik. 25 (1): 23–38. doi:10.1007/BF01419526. ISSN 0945-3245. S2CID 122196773.
Kearfott, Baker (1979-06-01). "An efficient degree-computation method for a generalized method of bisection". Numerische Mathematik. 32 (2): 109–127. doi:10.1007/BF01404868. ISSN 0029-599X. S2CID 122058552.
Vrahatis, M. N.; Iordanidis, K. I. (1986-03-01). "A Rapid Generalized Method of Bisection for Solving Systems of Non-linear Equations". Numerische Mathematik. 49 (2): 123–138. doi:10.1007/BF01389620. ISSN 0945-3245. S2CID 121771945.
Vrahatis, Michael N. (2020-04-15). "Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros". Topology and Its Applications. 275 107036. doi:10.1016/j.topol.2019.107036. ISSN 0166-8641. S2CID 213249321.

libretexts.org (Global: 3,627^th place; English: 2,467^th place)

math.libretexts.org

Chanson, Jeffrey R. (October 3, 2024). "Order of Convergence". LibreTexts Mathematics. Retrieved October 3, 2024.

nrbook.com (Global: low place; English: low place)

apps.nrbook.com

Press, W. H.; Teukolsky, S. A.; Vetterling, W. T.; Flannery, B. P. (2007). "Chapter 9. Root Finding and Nonlinear Sets of Equations". Numerical Recipes: The Art of Scientific Computing (3rd ed.). New York: Cambridge University Press. ISBN 978-0-521-88068-8.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Vrahatis, Michael N. (2020). "Generalizations of the Intermediate Value Theorem for Approximating Fixed Points and Zeros of Continuous Functions". In Sergeyev, Yaroslav D.; Kvasov, Dmitri E. (eds.). Numerical Computations: Theory and Algorithms. Lecture Notes in Computer Science. Vol. 11974. Cham: Springer International Publishing. pp. 223–238. doi:10.1007/978-3-030-40616-5_17. ISBN 978-3-030-40616-5. S2CID 211160947.
Stenger, Frank (1975-03-01). "Computing the topological degree of a mapping inRn". Numerische Mathematik. 25 (1): 23–38. doi:10.1007/BF01419526. ISSN 0945-3245. S2CID 122196773.
Kearfott, Baker (1979-06-01). "An efficient degree-computation method for a generalized method of bisection". Numerische Mathematik. 32 (2): 109–127. doi:10.1007/BF01404868. ISSN 0029-599X. S2CID 122058552.
Vrahatis, M. N.; Iordanidis, K. I. (1986-03-01). "A Rapid Generalized Method of Bisection for Solving Systems of Non-linear Equations". Numerische Mathematik. 49 (2): 123–138. doi:10.1007/BF01389620. ISSN 0945-3245. S2CID 121771945.
Vrahatis, Michael N. (2020-04-15). "Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros". Topology and Its Applications. 275 107036. doi:10.1016/j.topol.2019.107036. ISSN 0166-8641. S2CID 213249321.

siam.org (Global: low place; English: 6,473^rd place)

epubs.siam.org

Pan, Victor Y. (January 1997). "Solving a Polynomial Equation: Some History and Recent Progress". SIAM Review. 39 (2): 187–220. doi:10.1137/S0036144595288554. ISSN 0036-1445.

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Vrahatis, Michael N. (2020). "Generalizations of the Intermediate Value Theorem for Approximating Fixed Points and Zeros of Continuous Functions". In Sergeyev, Yaroslav D.; Kvasov, Dmitri E. (eds.). Numerical Computations: Theory and Algorithms. Lecture Notes in Computer Science. Vol. 11974. Cham: Springer International Publishing. pp. 223–238. doi:10.1007/978-3-030-40616-5_17. ISBN 978-3-030-40616-5. S2CID 211160947.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Pan, Victor Y. (January 1997). "Solving a Polynomial Equation: Some History and Recent Progress". SIAM Review. 39 (2): 187–220. doi:10.1137/S0036144595288554. ISSN 0036-1445.
Mourrain, B.; Vrahatis, M. N.; Yakoubsohn, J. C. (2002-06-01). "On the Complexity of Isolating Real Roots and Computing with Certainty the Topological Degree". Journal of Complexity. 18 (2): 612–640. doi:10.1006/jcom.2001.0636. ISSN 0885-064X.
Stenger, Frank (1975-03-01). "Computing the topological degree of a mapping inRn". Numerische Mathematik. 25 (1): 23–38. doi:10.1007/BF01419526. ISSN 0945-3245. S2CID 122196773.
Kearfott, Baker (1979-06-01). "An efficient degree-computation method for a generalized method of bisection". Numerische Mathematik. 32 (2): 109–127. doi:10.1007/BF01404868. ISSN 0029-599X. S2CID 122058552.
Vrahatis, M. N.; Iordanidis, K. I. (1986-03-01). "A Rapid Generalized Method of Bisection for Solving Systems of Non-linear Equations". Numerische Mathematik. 49 (2): 123–138. doi:10.1007/BF01389620. ISSN 0945-3245. S2CID 121771945.
Vrahatis, Michael N. (2020-04-15). "Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros". Topology and Its Applications. 275 107036. doi:10.1016/j.topol.2019.107036. ISSN 0166-8641. S2CID 213249321.