{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T18:49:11Z","timestamp":1776797351779,"version":"3.51.2"},"reference-count":17,"publisher":"American Mathematical Society (AMS)","issue":"292","license":[{"start":{"date-parts":[[2015,9,23]],"date-time":"2015-09-23T00:00:00Z","timestamp":1442966400000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    A semi-local convergence analysis for directional Chebyshev-type methods in\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"m\">\n                        <mml:semantics>\n                          <mml:mi>m<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">m<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -variables is presented in this study. Our convergence analysis uses recurrent relations and Newton\u2013Kantorovich-type hypotheses. Numerical examples are also provided to show the effectiveness of the proposed method.\n                  <\/p>","DOI":"10.1090\/s0025-5718-2014-02906-2","type":"journal-article","created":{"date-parts":[[2014,9,23]],"date-time":"2014-09-23T16:19:46Z","timestamp":1411489186000},"page":"815-830","source":"Crossref","is-referenced-by-count":0,"title":["Directional Chebyshev-type methods for solving equations"],"prefix":"10.1090","volume":"84","author":[{"given":"I.","family":"Argyros","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Hern\u00e1ndez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Hilout","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"N.","family":"Romero","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2014,9,23]]},"reference":[{"issue":"2","key":"1","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1016\/j.cam.2004.05.013","article-title":"Directional secant method for nonlinear equations","volume":"175","author":"An, Heng-Bin","year":"2005","journal-title":"J. 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