{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T21:55:39Z","timestamp":1769810139692,"version":"3.49.0"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1991,6,1]],"date-time":"1991-06-01T00:00:00Z","timestamp":675734400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1991,6]]},"DOI":"10.1007\/bf02239167","type":"journal-article","created":{"date-parts":[[2005,11,14]],"date-time":"2005-11-14T12:25:23Z","timestamp":1131971123000},"page":"131-141","source":"Crossref","is-referenced-by-count":7,"title":["An iterative method for algebraic equation by Pad\u00e9 approximation","Ein Iterationsverfahren zur L\u00f6sung einer Polynomgleichung mit Hilfe von Pad\u00e9-Approximation"],"prefix":"10.1007","volume":"46","author":[{"given":"T.","family":"Sakurai","sequence":"first","affiliation":[]},{"given":"T.","family":"Torii","sequence":"additional","affiliation":[]},{"given":"H.","family":"Sugiura","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF02239167_CR1","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1145\/321217.321224","volume":"11","author":"L. Tornheim","year":"1964","unstructured":"Tornheim, L.: Convergence of multipoint iterative methods. J. Assoc. Comput. Mach.11, 210\u2013220 (1964).","journal-title":"J. Assoc. Comput. Mach."},{"key":"BF02239167_CR2","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1007\/BF02277214","volume":"3","author":"G. Merz","year":"1968","unstructured":"Merz, G.: Pad\u00e9sche N\u00e4herungsbr\u00fcche und Iterationsverfahren h\u00f6herer Ordnung. Computing3, 165\u2013183 (1968).","journal-title":"Computing"},{"issue":"1","key":"BF02239167_CR3","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1063\/1.1704812","volume":"7","author":"J. Chisholm","year":"1966","unstructured":"Chisholm, J.: Approximation by sequences of Pad\u00e9 approximants in region of meromorphy. J. Math. Phys.7, 1, 39\u201344 (1966).","journal-title":"J. Math. Phys."},{"key":"BF02239167_CR4","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1007\/BF01932271","volume":"16","author":"M. Nourein","year":"1976","unstructured":"Nourein M.: Root determination by use of Pad\u00e9 approximants. BIT16, 291\u2013297 (1976).","journal-title":"BIT"},{"key":"BF02239167_CR5","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1007\/BF01932157","volume":"17","author":"G. Claessens","year":"1977","unstructured":"Claessens, G., Loizou, G., Wuytack, L.: Comments on a root finding method using Pad\u00e9 approximation. BIT17, 360\u2013361 (1977).","journal-title":"BIT"},{"issue":"129","key":"BF02239167_CR6","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1090\/S0025-5718-1975-0369276-7","volume":"29","author":"W. H. Mills","year":"1975","unstructured":"Mills, W. H.: Continued fractions and linear recurrences. Math. Comp.29, 129, 173\u2013180 (1975).","journal-title":"Math. Comp."},{"key":"BF02239167_CR7","first-page":"1121","volume":"28","author":"J. A. Murphy","year":"1977","unstructured":"Murphy, J. A.: A class of algorithms for obtaining rational approximants to functions which are defined by power series. J. Appl. Math. Phys.28, 1121\u20131131 (1977).","journal-title":"J. Appl. Math. Phys."},{"key":"BF02239167_CR8","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1007\/BF01195180","volume":"78","author":"A. Magnus","year":"1962","unstructured":"Magnus, A.: Certain continued fractions associated with the Pad\u00e9 table. Math. Zeitschr.78, 361\u2013374 (1962).","journal-title":"Math. Zeitschr."},{"key":"BF02239167_CR9","volume-title":"Pad\u00e9 approximants I","author":"G. Baker","year":"1981","unstructured":"Baker, G., Graves-Morris, P.: Pad\u00e9 approximants I. London: Addison-Wesley 1981."},{"key":"BF02239167_CR10","volume-title":"Nonlinear methods in numerical analysis","author":"A. Cuyt","year":"1987","unstructured":"Cuyt, A., Wuytack, L.: Nonlinear methods in numerical analysis. Amsterdam: North-Holland 1987."},{"key":"BF02239167_CR11","series-title":"Proc. Univ. Kent","first-page":"211","volume-title":"Pad\u00e9 approximants and their applications","author":"A. Bultheel","year":"1972","unstructured":"Bultheel, A.: Recursive algorithms for the Pad\u00e9 table: two approaches. In [21],, 211\u2013230."},{"key":"BF02239167_CR12","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0024-3795(71)90037-1","volume":"4","author":"A. Householder","year":"1971","unstructured":"Householder, A.: The Pad\u00e9 table, the Frobenius identities, and the ad algorithm. Linear Algebra and Its Appl.4, 161\u2013174 (1971).","journal-title":"Linear Algebra and Its Appl."},{"key":"BF02239167_CR13","series-title":"Proc. Univ. Kent","first-page":"83","volume-title":"Pad\u00e9 approximants and their applications","author":"G. Baker","year":"1972","unstructured":"Baker, G.: Recursive calculation of Pad\u00e9 approximants. In [21],, 83\u201392."},{"issue":"4","key":"BF02239167_CR14","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/0771-050X(76)90047-4","volume":"2","author":"M. Pindor","year":"1976","unstructured":"Pindor, M.: A simplified algorithm for calculating the Pad\u00e9 table derived from Baker and Longman schemes. J. Comp. Appl. Math.2, 4, 255\u2013257 (1976).","journal-title":"J. Comp. Appl. Math."},{"key":"BF02239167_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/1014001","volume":"14","author":"W. Gragg","year":"1972","unstructured":"Gragg, W.: The Pad\u00e9 table and its relation to certain algorithms of numerical analysis. SIAM Review14, 1\u201362 (1972).","journal-title":"SIAM Review"},{"key":"BF02239167_CR16","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/0771-050X(75)90032-7","volume":"1","author":"G. Claessens","year":"1975","unstructured":"Claessens, G.: A new look at the Pad\u00e9 table and the different methods for computing its elements. J. Comp. Appl. Math.1, 141\u2013152 (1975).","journal-title":"J. Comp. Appl. Math."},{"key":"BF02239167_CR17","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/0771-050X(76)90015-2","volume":"2","author":"C. Brezinski","year":"1976","unstructured":"Brezinski, C.: Computation of Pad\u00e9 approximants and continued fractions. J. Comp. Appl. Math.2, 113\u2013123 (1976).","journal-title":"J. Comp. Appl. Math."},{"key":"BF02239167_CR18","series-title":"Proc. Antwerp","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/BFb0085583","volume-title":"Pad\u00e9 approximation and its applications","author":"P. Graves-Morris","year":"1979","unstructured":"Graves-Morris, P.: The numerical calculation of Pad\u00e9 approximants, In [22],, 231\u2013245."},{"key":"BF02239167_CR19","volume-title":"Essentials of Pad\u00e9 approximants","author":"G. Baker","year":"1975","unstructured":"Baker, G.: Essentials of Pad\u00e9 approximants. New York: Academic Press 1975."},{"issue":"4","key":"BF02239167_CR20","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1137\/0134048","volume":"34","author":"R. McEliece","year":"1978","unstructured":"McEliece, R., Shearer, J.: A property of Euclid's algorithm and an application to Pad\u00e9 approximation. SIAM J. Appl. Math.34, 4, 611\u2013615 (1978).","journal-title":"SIAM J. Appl. Math."},{"key":"BF02239167_CR21","series-title":"Proc. Univ. Kent","volume-title":"Pad\u00e9 approximants and their applications","author":"P. Graves-Morris","year":"1972","unstructured":"Graves-Morris, P.: Pad\u00e9 approximants and their applications, Proc. Univ. Kent. Berlin: Springer 1972."},{"key":"BF02239167_CR22","series-title":"Proc. Antwerp","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0085571","volume-title":"Pad\u00e9 approximation and its applications","author":"L. Wuytack","year":"1979","unstructured":"Wuytack, L.: Pad\u00e9 approximation and its applications, Proc. Antwerp. Berlin: Springer 1979."},{"key":"BF02239167_CR23","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF01397080","volume":"18","author":"T. Pomentale","year":"1971","unstructured":"Pomentale, T.: A class of iterative method for holomorphic functions. Numer Math.18, 193\u2013203 (1971).","journal-title":"Numer Math."},{"issue":"5","key":"BF02239167_CR24","first-page":"447","volume":"29","author":"T. Sakurai","year":"1988","unstructured":"Sakurai, T., Torii, T., Sugiura, H.: An electrostatic interpretation iterative method for finding roots of polynomial. Trans. Inf. Process. Soc.29, 5, 447\u2013455 (1988) (Japanese).","journal-title":"Trans. Inf. Process. Soc."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02239167.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02239167\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02239167","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,15]],"date-time":"2019-05-15T13:13:03Z","timestamp":1557925983000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02239167"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,6]]},"references-count":24,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1991,6]]}},"alternative-id":["BF02239167"],"URL":"https:\/\/doi.org\/10.1007\/bf02239167","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,6]]}}}