{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T07:51:55Z","timestamp":1776844315460,"version":"3.51.2"},"reference-count":9,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1990,9,1]],"date-time":"1990-09-01T00:00:00Z","timestamp":652147200000},"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":[[1990,9]]},"DOI":"10.1007\/bf02262221","type":"journal-article","created":{"date-parts":[[2005,11,23]],"date-time":"2005-11-23T10:19:43Z","timestamp":1132741183000},"page":"259-271","source":"Crossref","is-referenced-by-count":8,"title":["SolvingN+m nonlinear equations with onlym nonlinear variables","L\u00f6sung vonN+m nichtlinearen Gleichungen mit nurm nichtlinearen Variablen"],"prefix":"10.1007","volume":"44","author":[{"given":"T. J.","family":"Ypma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Y. -Q.","family":"Shen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02262221_CR1","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1007\/BF01589439","volume":"35","author":"R. H. Byrd","year":"1986","unstructured":"Byrd, R. H., Schnabel, R. B.: Continuity of the null space basis and constrained optimization. Math. Prog.35, 32\u201341 (1986).","journal-title":"Math. Prog."},{"key":"BF02262221_CR2","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611971040","volume-title":"Handbook for Matrix Computations","author":"T. F. Coleman","year":"1988","unstructured":"Coleman, T. F., van Loan, C.: Handbook for Matrix Computations. Philadelphia: SIAM 1988."},{"key":"BF02262221_CR3","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/0377-0427(88)90393-7","volume":"21","author":"C. B. Dunham","year":"1988","unstructured":"Dunham, C. B.: Approximation with one (or few) parameters nonlinear. J. Comput. Appl. Math.21, 115\u2013118 (1988).","journal-title":"J. Comput. Appl. Math."},{"key":"BF02262221_CR4","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1145\/58859.58860","volume":"3 and 4","author":"C. B. Dunham","year":"1988","unstructured":"Dunham, C. B., Zhu, C. Z.: Solving equations nonlinear in only one ofN+1 variables. ACM SIGNUM Newsletter Nos. 3 and 4, 2\u20133 (1988).","journal-title":"ACM SIGNUM Newsletter"},{"key":"BF02262221_CR5","volume-title":"Matrix Computations","author":"G. Golub","year":"1983","unstructured":"Golub, G., van Loan, C.: Matrix Computations. Oxford: North Oxford Academic 1983."},{"key":"BF02262221_CR6","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1007\/BF01582243","volume":"33","author":"J. Goodman","year":"1985","unstructured":"Goodman, J.: Newton's method for constrained optimization. Math. Prog.33, 162\u2013171 (1985).","journal-title":"Math. Prog."},{"key":"BF02262221_CR7","unstructured":"Shen, Y.-Q., Ypma, T. J.: Solving nonlinear systems of equations with only one nonlinear variable. to appear in J. Comput. Appl. Math."},{"key":"BF02262221_CR8","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1137\/0906003","volume":"6","author":"J. Varah","year":"1985","unstructured":"Varah, J.: Fitting exponentials by nonlinear least squares. SIAM J. Sci. Stat. Comput.6, 30\u201344 (1985).","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"BF02262221_CR9","first-page":"63","volume":"2","author":"T. Wazewski","year":"1935","unstructured":"Wazewski, T.: Sur les matrices dont les \u00e9l\u00e9ments sont des fonctions continu\u00e9s. Compositio Mathematica2, 63\u201368 (1935).","journal-title":"Compositio Mathematica"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02262221.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02262221\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02262221","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T15:12:25Z","timestamp":1558019545000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02262221"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,9]]},"references-count":9,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1990,9]]}},"alternative-id":["BF02262221"],"URL":"https:\/\/doi.org\/10.1007\/bf02262221","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,9]]}}}