{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,28]],"date-time":"2024-02-28T01:59:30Z","timestamp":1709085570641},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2017,1,3]],"date-time":"2017-01-03T00:00:00Z","timestamp":1483401600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2017,10]]},"DOI":"10.1007\/s11075-016-0260-2","type":"journal-article","created":{"date-parts":[[2017,1,3]],"date-time":"2017-01-03T08:18:02Z","timestamp":1483431482000},"page":"361-375","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["New zero-finders for trust-region computations"],"prefix":"10.1007","volume":"76","author":[{"given":"Maged","family":"Alkilayh","sequence":"first","affiliation":[]},{"given":"Lothar","family":"Reichel","sequence":"additional","affiliation":[]},{"given":"Jin Yun","family":"Yuan","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,1,3]]},"reference":[{"key":"260_CR1","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.cam.2015.12.034","volume":"300","author":"AH Bentbib","year":"2016","unstructured":"Bentbib, A.H., El Guide, M., Jbilou, K., Reichel, L.: A global Lanczos method for image restoration. J. Comput. Appl. Math. 300, 233\u2013244 (2016)","journal-title":"J. Comput. Appl. Math."},{"key":"260_CR2","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1023\/A:1026130310913","volume":"34","author":"D Calvetti","year":"2003","unstructured":"Calvetti, D., Reichel, L.: Gauss quadrature applied to trust region computations. Numer. Algorithm. 34, 85\u2013102 (2003)","journal-title":"Numer. Algorithm."},{"key":"260_CR3","first-page":"224","volume":"26","author":"D Calvetti","year":"2004","unstructured":"Calvetti, D., Reichel, L.: Tikhonov regularization with a solution constraint, SIAM. J. Sci. Comput. 26, 224\u2013239 (2004)","journal-title":"J. Sci. Comput."},{"key":"260_CR4","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898719857","volume-title":"Trust-Region Methods","author":"AR Conn","year":"2000","unstructured":"Conn, A.R., Gould, N.I.M., Toint, Ph.L.: Trust-Region Methods. SIAM, Philadelphia (2000)"},{"key":"260_CR5","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611971200","volume-title":"Numerical methods for unconstraint optimization","author":"JE Dennis","year":"1996","unstructured":"Dennis, J.E., Schnabel, R.B.: Numerical methods for unconstraint optimization. SIAM, Philadelphia (1996)"},{"key":"260_CR6","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1007\/BF01396656","volume":"36","author":"W Gander","year":"1981","unstructured":"Gander, W.: Least squares with a quadratic constraint. Numer. Math. 36, 291\u2013307 (1981)","journal-title":"Numer. Math."},{"key":"260_CR7","doi-asserted-by":"crossref","unstructured":"Gander, W., Golub, G.H., von Matt, U.: A constrained eigenvalue problem. In: Golub, G.H., Van Dooren, P. (eds.) Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms, pp. 677\u2013686. Springer, Berlin (1991)","DOI":"10.1007\/978-3-642-75536-1_57"},{"key":"260_CR8","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1007\/BF01385796","volume":"59","author":"GH Golub","year":"1991","unstructured":"Golub, G.H., von Matt, U.: Quadratically constrained least squares and quadratic problems. Numer. Math. 59, 561\u2013580 (1991)","journal-title":"Numer. Math."},{"key":"260_CR9","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1137\/0904038","volume":"4","author":"JJ Mor\u00e9","year":"1983","unstructured":"Mor\u00e9, J.J., Sorensen, D.C.: Computing a trust region step. SIAM J. Sci. Stat. Comput. 4, 553\u2013572 (1983)","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"260_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/b98874","volume-title":"Numerical Optimization","author":"J Nocedal","year":"1999","unstructured":"Nocedal, J., Wright, S.J.: Numerical Optimization. Springer, New York (1999)"},{"key":"260_CR11","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/BF02162161","volume":"10","author":"CH Reinsch","year":"1967","unstructured":"Reinsch, C.H.: Smoothing by spline functions. Numer. Math. 10, 177\u2013183 (1967)","journal-title":"Numer. Math."},{"key":"260_CR12","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1007\/BF02169154","volume":"16","author":"CH Reinsch","year":"1971","unstructured":"Reinsch, C.H.: Smoothing by spline functions II. Numer. Math. 16, 451\u2013454 (1971)","journal-title":"Numer. Math."},{"key":"260_CR13","doi-asserted-by":"crossref","first-page":"1842","DOI":"10.1137\/S1064827500378167","volume":"23","author":"M Rojas","year":"2002","unstructured":"Rojas, M., Sorensen, D.C.: A trust-region approach to regularization of large-scale discrete forms of ill-posed problems. SIAM J. Sci. Comput. 23, 1842\u20131860 (2002)","journal-title":"SIAM J. Sci. Comput."},{"key":"260_CR14","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1137\/0719026","volume":"19","author":"DC Sorensen","year":"1982","unstructured":"Sorensen, D.C.: Newton\u2019s method with a model trust region modification. SIAM J. Numer. Anal. 19, 409\u2013426 (1982)","journal-title":"SIAM J. Numer. Anal."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-016-0260-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-016-0260-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-016-0260-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,9,21]],"date-time":"2017-09-21T11:30:39Z","timestamp":1505993439000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-016-0260-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1,3]]},"references-count":14,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,10]]}},"alternative-id":["260"],"URL":"https:\/\/doi.org\/10.1007\/s11075-016-0260-2","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1,3]]}}}