{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T19:54:08Z","timestamp":1778615648542,"version":"3.51.4"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,8,2]],"date-time":"2019-08-02T00:00:00Z","timestamp":1564704000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,8,2]],"date-time":"2019-08-02T00:00:00Z","timestamp":1564704000000},"content-version":"vor","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":[[2020,7]]},"DOI":"10.1007\/s11075-019-00783-x","type":"journal-article","created":{"date-parts":[[2019,8,2]],"date-time":"2019-08-02T13:05:49Z","timestamp":1564751149000},"page":"847-870","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Two-step inexact Newton-type method for inverse singular value problems"],"prefix":"10.1007","volume":"84","author":[{"given":"Wei","family":"Ma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao-shan","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,8,2]]},"reference":[{"key":"783_CR1","unstructured":"Alonso, P., Flores-Becerra, G., Vidal, A.M.: Sequential and parallel algorithms for the inverse Toeplitz singular value problem. Proc CSC, pp. 91\u201396 (2006)"},{"issue":"6","key":"783_CR2","doi-asserted-by":"publisher","first-page":"2531","DOI":"10.1137\/060656346","volume":"29","author":"ZJ Bai","year":"2007","unstructured":"Bai, Z.J., Chu, Delin, Sun, D.F.: A dual optimization approach to inverse quadratic eigenvalue problems with partial eigenstructure. SIAM J. Sci. Comput. 29 (6), 2531\u20132561 (2007)","journal-title":"SIAM J. Sci. Comput."},{"key":"783_CR3","doi-asserted-by":"publisher","first-page":"187","DOI":"10.3934\/naco.2012.2.187","volume":"2","author":"ZJ Bai","year":"2012","unstructured":"Bai, Z.J., Jin, X.Q., Vong, S.W.: On some inverse singular value problems with Toeplitz-related structure. Numerical Algebra, Control and Optimization 2, 187\u2013192 (2012)","journal-title":"Numerical Algebra, Control and Optimization"},{"key":"783_CR4","doi-asserted-by":"publisher","first-page":"344","DOI":"10.1016\/j.cam.2005.06.050","volume":"198","author":"ZJ Bai","year":"2007","unstructured":"Bai, Z.J., Morini, B., Xu, S.F.: On the local convergence of an iterative approach for inverse singular value problems. J. Comput. Appl. Math. 198, 344\u2013360 (2007)","journal-title":"J. Comput. Appl. Math."},{"key":"783_CR5","doi-asserted-by":"publisher","first-page":"527","DOI":"10.1016\/j.laa.2008.03.008","volume":"429","author":"ZJ Bai","year":"2008","unstructured":"Bai, Z.J., Xu, S.F.: An inexact Newton-type method for inverse singular value problems. Linear Algebra Appl. 429, 527\u2013547 (2008)","journal-title":"Linear Algebra Appl."},{"key":"783_CR6","doi-asserted-by":"publisher","first-page":"987","DOI":"10.1080\/03081087.2018.1440521","volume":"67","author":"XS Chen","year":"2019","unstructured":"Chen, X.S., Sun, H.W.: On the unsolvability for inverse singular vlaue problems almost everywhere. Linear and Multilinear Algebra 67, 987\u2013994 (2019)","journal-title":"Linear and Multilinear Algebra"},{"key":"783_CR7","doi-asserted-by":"publisher","unstructured":"Chen, X.S., Wen, C.T., Sun, H.W.: Two-step Newton type method for solving inverse eigenvalue problems. Numer. Linear Algebra Appl. \n                  https:\/\/doi.org\/10.1002\/nla.e2185","DOI":"10.1002\/nla.e2185"},{"key":"783_CR8","doi-asserted-by":"publisher","first-page":"885","DOI":"10.1137\/0729054","volume":"29","author":"MT Chu","year":"1992","unstructured":"Chu, M.T.: Numerical methods for inverse singular value problems. SIAM J. Numer. Anal. 29, 885\u2013903 (1992)","journal-title":"SIAM J. Numer. Anal."},{"key":"783_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1017\/S0962492902000016","volume":"11","author":"MT Chu","year":"2002","unstructured":"Chu, M.T., Golub, G.H.: Structured inverse eigenvalue problems. Acta Numer. 11, 1\u201371 (2002)","journal-title":"Acta Numer."},{"key":"783_CR10","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198566649.001.0001","volume-title":"Inverse Eigenvalue Problems: Theory, Algorithms, and Applications","author":"MT Chu","year":"2005","unstructured":"Chu, M.T., Golub, G.H.: Inverse Eigenvalue Problems: Theory, Algorithms, and Applications. Oxford University Press, Oxford (2005)"},{"key":"783_CR11","first-page":"81","volume":"5","author":"G Flores-Becerra","year":"2006","unstructured":"Flores-Becerra, G., Garcia, V.M., Vidal, A.M.: Parallelization of a method for the solution of the inverse additive singular value problem. WSEAS Transactions on Mathematics 5, 81\u201388 (2006)","journal-title":"WSEAS Transactions on Mathematics"},{"key":"783_CR12","doi-asserted-by":"publisher","first-page":"634","DOI":"10.1137\/0724043","volume":"24","author":"S Friedland","year":"1987","unstructured":"Friedland, S., Nocedal, J., Overton, M.L.: The formulation and analysis of numerical methods for inverse eigenvalue problems. SIAM J. Numer. Anal. 24, 634\u2013667 (1987)","journal-title":"SIAM J. Numer. Anal."},{"key":"783_CR13","volume-title":"Matrix Computations","author":"GH Golub","year":"1996","unstructured":"Golub, G.H., Van Loan, C.F.: Matrix Computations, 3rd edn. The Johns Hopkins University Press, Baltimore (1996)","edition":"3rd edn."},{"key":"783_CR14","doi-asserted-by":"publisher","first-page":"125001(24pp)","DOI":"10.1088\/0266-5611\/28\/12\/125001","volume":"28","author":"W Ma","year":"2012","unstructured":"Ma, W., Bai, Z.J.: A regularized directional derivative-based Newton method for inverse singular value problems. Inverse Prob. 28, 125001(24pp) (2012)","journal-title":"Inverse Prob."},{"key":"783_CR15","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1016\/j.camwa.2007.11.030","volume":"56","author":"E Monta\u00f1o","year":"2008","unstructured":"Monta\u00f1o, E., Salas, M., Soto, R.L.: Nonnegative matrices with prescribed extremal singular values. Comput. Math. Appl. 56, 30\u201342 (2008)","journal-title":"Comput. Math. Appl."},{"key":"783_CR16","first-page":"289","volume":"27","author":"E Monta\u00f1o","year":"2008","unstructured":"Monta\u00f1o, E., Salas, M., Soto, R.L.: Positive matrices with prescribed singular values. Proyecciones 27, 289\u2013305 (2008)","journal-title":"Proyecciones"},{"key":"783_CR17","volume-title":"Iterative Solution of Nonlinear Equations in Several Variables","author":"JM Ortega","year":"1970","unstructured":"Ortega, J.M., Rheinboldt, W.C.: Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York (1970)"},{"key":"783_CR18","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1007\/3-540-44862-4_14","volume":"2658","author":"T Politi","year":"2003","unstructured":"Politi, T.: A discrete approach for the inverse singular value problem in some quadratic group. Lecture Notes in Comput. Sci. 2658, 121\u2013130 (2003)","journal-title":"Lecture Notes in Comput. Sci."},{"key":"783_CR19","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1016\/0024-3795(94)90491-X","volume":"197\u2013198","author":"JF Queir\u00f3","year":"1994","unstructured":"Queir\u00f3, J.F.: An inverse problem for singular values and the Jacobian of the elementary symmetric functions. Linear Algebra Appl. 197\u2013198, 277\u2013282 (1994)","journal-title":"Linear Algebra Appl."},{"key":"783_CR20","volume-title":"Iterative Methods for Sparse Linear Systems","author":"Y Saad","year":"1996","unstructured":"Saad, Y.: Iterative Methods for Sparse Linear Systems. PWS Publishing Company, Boston (1996)"},{"key":"783_CR21","doi-asserted-by":"publisher","first-page":"837","DOI":"10.1109\/TMTT.2011.2108311","volume":"59","author":"C Saunders","year":"2011","unstructured":"Saunders, C., Hu, J., Christoffersen, C., Steer, M.: Inverse singular value method for enforcing passivity in reduced-order models of distributed structures for transient and steady-state simulation. IEEE Trans. Microwave Theory and Techniques 59, 837\u2013847 (2011)","journal-title":"IEEE Trans. Microwave Theory and Techniques"},{"key":"783_CR22","volume-title":"Matrix Perturbation Theory","author":"GW Stewart","year":"1990","unstructured":"Stewart, G.W., Sun, J.G.: Matrix Perturbation Theory. Academic, San Diego (1990)"},{"key":"783_CR23","doi-asserted-by":"publisher","first-page":"2916","DOI":"10.1109\/TIT.2004.836698","volume":"50","author":"JA Tropp","year":"2004","unstructured":"Tropp, J.A., Dhillon, I.S., Heath, R.W.: Finite-step algorithms for constructing optimal CDMA signature sequences. IEEE Trans. Inform. Theory 50, 2916\u20132921 (2004)","journal-title":"IEEE Trans. Inform. Theory"},{"key":"783_CR24","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1137\/100815748","volume":"32","author":"SW Vong","year":"2011","unstructured":"Vong, S.W., Bai, Z.J., Jin, X.Q.: A Ulm-like method for inverse singular value problems. SIAM J. Matrix. Anal. Appl. 32, 412\u2013429 (2011)","journal-title":"SIAM J. Matrix. Anal. Appl."},{"key":"783_CR25","volume-title":"An Introduction to Inverse Algebric Eigenvalue Problems","author":"SF Xu","year":"1998","unstructured":"Xu, S.F.: An Introduction to Inverse Algebric Eigenvalue Problems. Peking University Press and Vieweg Publishing, Beijing (1998)"},{"key":"783_CR26","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1007\/s11075-011-9526-x","volume":"60","author":"SF Yuan","year":"2012","unstructured":"Yuan, S.F., Liao, A.P., Yao, G.Z.: Parameterized inverse singular value problem for anti-bisymmetric matrices. Numer. Algorithms 60, 501\u2013522 (2012)","journal-title":"Numer. Algorithms"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-019-00783-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-019-00783-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-019-00783-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,16]],"date-time":"2020-09-16T10:31:37Z","timestamp":1600252297000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-019-00783-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8,2]]},"references-count":26,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,7]]}},"alternative-id":["783"],"URL":"https:\/\/doi.org\/10.1007\/s11075-019-00783-x","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,8,2]]},"assertion":[{"value":"24 January 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 July 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 August 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}