---
_id: '1490'
article_number: '125991'
author:
- first_name: Francesco
  full_name: Casella, Francesco
  last_name: Casella
- first_name: Bernhard
  full_name: Bachmann, Bernhard
  id: '33931'
  last_name: Bachmann
  orcid: 0000-0002-4339-0438
  orcid_put_code_url: https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900366
citation:
  alphadin: '<span style="font-variant:small-caps;">Casella, Francesco</span> ; <span
    style="font-variant:small-caps;">Bachmann, Bernhard</span>: On the choice of initial
    guesses for the Newton-Raphson algorithm. In: <i>Applied Mathematics and Computation</i>
    Bd. 398, Elsevier BV (2021)'
  ama: Casella F, Bachmann B. On the choice of initial guesses for the Newton-Raphson
    algorithm. <i>Applied Mathematics and Computation</i>. 2021;398. doi:<a href="https://doi.org/10.1016/j.amc.2021.125991">10.1016/j.amc.2021.125991</a>
  apa: Casella, F., &#38; Bachmann, B. (2021). On the choice of initial guesses for
    the Newton-Raphson algorithm. <i>Applied Mathematics and Computation</i>, <i>398</i>.
    <a href="https://doi.org/10.1016/j.amc.2021.125991">https://doi.org/10.1016/j.amc.2021.125991</a>
  bibtex: '@article{Casella_Bachmann_2021, title={On the choice of initial guesses
    for the Newton-Raphson algorithm}, volume={398}, DOI={<a href="https://doi.org/10.1016/j.amc.2021.125991">10.1016/j.amc.2021.125991</a>},
    number={125991}, journal={Applied Mathematics and Computation}, publisher={Elsevier
    BV}, author={Casella, Francesco and Bachmann, Bernhard}, year={2021} }'
  chicago: Casella, Francesco, and Bernhard Bachmann. “On the Choice of Initial Guesses
    for the Newton-Raphson Algorithm.” <i>Applied Mathematics and Computation</i>
    398 (2021). <a href="https://doi.org/10.1016/j.amc.2021.125991">https://doi.org/10.1016/j.amc.2021.125991</a>.
  ieee: F. Casella and B. Bachmann, “On the choice of initial guesses for the Newton-Raphson
    algorithm,” <i>Applied Mathematics and Computation</i>, vol. 398, 2021.
  mla: Casella, Francesco, and Bernhard Bachmann. “On the Choice of Initial Guesses
    for the Newton-Raphson Algorithm.” <i>Applied Mathematics and Computation</i>,
    vol. 398, 125991, Elsevier BV, 2021, doi:<a href="https://doi.org/10.1016/j.amc.2021.125991">10.1016/j.amc.2021.125991</a>.
  short: F. Casella, B. Bachmann, Applied Mathematics and Computation 398 (2021).
date_created: 2021-11-09T12:57:51Z
date_updated: 2026-03-17T15:28:21Z
doi: 10.1016/j.amc.2021.125991
intvolume: '       398'
language:
- iso: eng
publication: Applied Mathematics and Computation
publication_identifier:
  issn:
  - '00963003'
publication_status: published
publisher: Elsevier BV
status: public
title: On the choice of initial guesses for the Newton-Raphson algorithm
type: journal_article
user_id: '220548'
volume: 398
year: '2021'
...
---
_id: '1489'
author:
- first_name: Xiaolin
  full_name: Qin, Xiaolin
  last_name: Qin
- first_name: Lu
  full_name: Yang, Lu
  last_name: Yang
- first_name: Yong
  full_name: Feng, Yong
  last_name: Feng
- first_name: Bernhard
  full_name: Bachmann, Bernhard
  id: '33931'
  last_name: Bachmann
  orcid: 0000-0002-4339-0438
  orcid_put_code_url: https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900647
- first_name: Peter
  full_name: Fritzson, Peter
  last_name: Fritzson
citation:
  alphadin: '<span style="font-variant:small-caps;">Qin, Xiaolin</span> ; <span style="font-variant:small-caps;">Yang,
    Lu</span> ; <span style="font-variant:small-caps;">Feng, Yong</span> ; <span style="font-variant:small-caps;">Bachmann,
    Bernhard</span> ; <span style="font-variant:small-caps;">Fritzson, Peter</span>:
    Index reduction of differential algebraic equations by differential Dixon resultant.
    In: <i>Applied Mathematics and Computation</i> Bd. 328, Elsevier BV (2018), S. 189–202'
  ama: Qin X, Yang L, Feng Y, Bachmann B, Fritzson P. Index reduction of differential
    algebraic equations by differential Dixon resultant. <i>Applied Mathematics and
    Computation</i>. 2018;328:189-202. doi:<a href="https://doi.org/10.1016/j.amc.2017.12.029">10.1016/j.amc.2017.12.029</a>
  apa: Qin, X., Yang, L., Feng, Y., Bachmann, B., &#38; Fritzson, P. (2018). Index
    reduction of differential algebraic equations by differential Dixon resultant.
    <i>Applied Mathematics and Computation</i>, <i>328</i>, 189–202. <a href="https://doi.org/10.1016/j.amc.2017.12.029">https://doi.org/10.1016/j.amc.2017.12.029</a>
  bibtex: '@article{Qin_Yang_Feng_Bachmann_Fritzson_2018, title={Index reduction of
    differential algebraic equations by differential Dixon resultant}, volume={328},
    DOI={<a href="https://doi.org/10.1016/j.amc.2017.12.029">10.1016/j.amc.2017.12.029</a>},
    journal={Applied Mathematics and Computation}, publisher={Elsevier BV}, author={Qin,
    Xiaolin and Yang, Lu and Feng, Yong and Bachmann, Bernhard and Fritzson, Peter},
    year={2018}, pages={189–202} }'
  chicago: 'Qin, Xiaolin, Lu Yang, Yong Feng, Bernhard Bachmann, and Peter Fritzson.
    “Index Reduction of Differential Algebraic Equations by Differential Dixon Resultant.”
    <i>Applied Mathematics and Computation</i> 328 (2018): 189–202. <a href="https://doi.org/10.1016/j.amc.2017.12.029">https://doi.org/10.1016/j.amc.2017.12.029</a>.'
  ieee: X. Qin, L. Yang, Y. Feng, B. Bachmann, and P. Fritzson, “Index reduction of
    differential algebraic equations by differential Dixon resultant,” <i>Applied
    Mathematics and Computation</i>, vol. 328, pp. 189–202, 2018.
  mla: Qin, Xiaolin, et al. “Index Reduction of Differential Algebraic Equations by
    Differential Dixon Resultant.” <i>Applied Mathematics and Computation</i>, vol.
    328, Elsevier BV, 2018, pp. 189–202, doi:<a href="https://doi.org/10.1016/j.amc.2017.12.029">10.1016/j.amc.2017.12.029</a>.
  short: X. Qin, L. Yang, Y. Feng, B. Bachmann, P. Fritzson, Applied Mathematics and
    Computation 328 (2018) 189–202.
date_created: 2021-11-09T12:55:26Z
date_updated: 2026-03-17T15:28:21Z
doi: 10.1016/j.amc.2017.12.029
intvolume: '       328'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://ideas.repec.org/a/eee/apmaco/v328y2018icp189-202.html
oa: '1'
page: 189-202
publication: Applied Mathematics and Computation
publication_identifier:
  issn:
  - '00963003'
publication_status: published
publisher: Elsevier BV
status: public
title: Index reduction of differential algebraic equations by differential Dixon resultant
type: journal_article
user_id: '35437'
volume: 328
year: '2018'
...