{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T12:24:38Z","timestamp":1763641478402},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2011,9,14]],"date-time":"2011-09-14T00:00:00Z","timestamp":1315958400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2012,3]]},"DOI":"10.1007\/s00211-011-0415-y","type":"journal-article","created":{"date-parts":[[2011,9,13]],"date-time":"2011-09-13T03:09:57Z","timestamp":1315883397000},"page":"387-431","source":"Crossref","is-referenced-by-count":9,"title":["Nonnegative inverse eigenvalue problems with partial eigendata"],"prefix":"10.1007","volume":"120","author":[{"given":"Zheng-Jian","family":"Bai","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefano","family":"Serra-Capizzano","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhi","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,9,14]]},"reference":[{"key":"415_CR1","doi-asserted-by":"crossref","unstructured":"Bapat, R.B., Raghavan, T.E.S.: Nonnegative matrices and applications. In: Encyclopedia of Mathematics and its Applications, vol. 64. Cambridge University Press, Cambridge (1997)","DOI":"10.1017\/CBO9780511529979"},{"key":"415_CR2","doi-asserted-by":"crossref","unstructured":"Berman, A., Plemmons, R.J.: Nonnegative matrices in the mathematical sciences. In: Classics in Applied Mathematics, vol. 9. SIAM, Philadelphia (1994)","DOI":"10.1137\/1.9781611971262"},{"key":"415_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1394-9","volume-title":"Perturbation Analysis of Optimization Problems","author":"J.F. Bonnans","year":"2000","unstructured":"Bonnans J.F., Shapiro A.: Perturbation Analysis of Optimization Problems. Springer, New York (2000)"},{"key":"415_CR4","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1137\/S1052623495280615","volume":"7","author":"B. Chen","year":"1997","unstructured":"Chen B., Harker P.T.: Smooth approximations to nonlinear complementarity problems. SIAM J. Optim. 7, 403\u2013420 (1997)","journal-title":"SIAM J. Optim."},{"key":"415_CR5","doi-asserted-by":"crossref","first-page":"3990","DOI":"10.1016\/j.cam.2011.02.005","volume":"235","author":"X. Chen","year":"2011","unstructured":"Chen X., Liu D.L.: Isospectral flow method for nonnegative inverse eigenvalue problem with prescribed structure. J. Comput. Appl. Math. 235, 3990\u20134002 (2011)","journal-title":"J. Comput. Appl. Math."},{"key":"415_CR6","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/S0024-3795(03)00393-8","volume":"379","author":"M.T. Chu","year":"2004","unstructured":"Chu M.T., Diele F., Sgura I.: Gradient flow method for matrix completion with prescribed eigenvalues. Linear Algebra Appl. 379, 85\u2013112 (2004)","journal-title":"Linear Algebra Appl."},{"key":"415_CR7","doi-asserted-by":"crossref","first-page":"1372","DOI":"10.1137\/0522088","volume":"22","author":"M.T. Chu","year":"1991","unstructured":"Chu M.T., Driessel K.R.: Constructing symmetric nonnegative matrices with prescribed eigenvalues by differential equations. SIAM J. Math. Anal. 22, 1372\u20131387 (1991)","journal-title":"SIAM J. Math. Anal."},{"key":"415_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/CBO9780511550140.001","volume":"11","author":"M.T. 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":"415_CR9","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780198566649.001.0001","volume-title":"Inverse Eigenvalue Problems: Theory, Algorithms, and Applications","author":"M.T. Chu","year":"2005","unstructured":"Chu M.T., Golub G.H.: Inverse Eigenvalue Problems: Theory, Algorithms, and Applications. Oxford University Press, Oxford (2005)"},{"key":"415_CR10","doi-asserted-by":"crossref","first-page":"1027","DOI":"10.1137\/S0895479896292418","volume":"19","author":"M.T. Chu","year":"1998","unstructured":"Chu M.T., Guo Q.: A numerical method for the inverse stochastic spectrum problem. SIAM J. Matrix Anal. Appl. 19, 1027\u20131039 (1998)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"415_CR11","volume-title":"Optimization and Nonsmooth Analysis","author":"F.H. Clarke","year":"1983","unstructured":"Clarke F.H.: Optimization and Nonsmooth Analysis. Wiley, New York (1983)"},{"key":"415_CR12","volume-title":"Numerical Methods for Linear Control Systems: Design and Analysis","author":"B.N. Datta","year":"2003","unstructured":"Datta B.N.: Numerical Methods for Linear Control Systems: Design and Analysis. Elsevier, Amsterdam (2003)"},{"key":"415_CR13","first-page":"407","volume":"75","author":"T. De Luca","year":"1996","unstructured":"De Luca T., Facchinei F., Kanzow C.: A semismooth equation approach to the solution of nonlinear complementarity problems. Math. Program. 75, 407\u2013439 (1996)","journal-title":"Math. Program."},{"key":"415_CR14","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1007\/BF01584073","volume":"1","author":"B.C. Eaves","year":"1971","unstructured":"Eaves B.C.: On the basic theorem for complemenarity. Math. Program. 1, 68\u201375 (1971)","journal-title":"Math. Program."},{"key":"415_CR15","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1016\/j.laa.2003.10.019","volume":"379","author":"P.D. Egleston","year":"2004","unstructured":"Egleston P.D., Lenker T.D., Narayan S.K.: The nonnegative inverse eigenvalue problem. Linear Algebra Appl. 379, 475\u2013490 (2004)","journal-title":"Linear Algebra Appl."},{"key":"415_CR16","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1137\/S1052623494279110","volume":"7","author":"F. Facchinei","year":"1997","unstructured":"Facchinei F., Soares J.: A new merit function for nonlinear complementarity problems and a related algorithm. SIAM J. Optim. 7, 225\u2013247 (1997)","journal-title":"SIAM J. Optim."},{"key":"415_CR17","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1080\/02331939208843795","volume":"24","author":"A. Fischer","year":"1992","unstructured":"Fischer A.: A special Newton-type optimization method. Optimization 24, 269\u2013284 (1992)","journal-title":"Optimization"},{"key":"415_CR18","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1080\/10556789508805627","volume":"6","author":"A. Fischer","year":"1995","unstructured":"Fischer A.: On the local superlinear convergence of a Newton-type method for LCP under weak conditions. Optim. Methods Softw. 6, 83\u2013107 (1995)","journal-title":"Optim. Methods Softw."},{"key":"415_CR19","first-page":"513","volume":"76","author":"A. Fischer","year":"1997","unstructured":"Fischer A.: Solution of monotone complementarity problems with Lipschitzian functions. Math. Program. 76, 513\u2013532 (1997)","journal-title":"Math. Program."},{"key":"415_CR20","doi-asserted-by":"crossref","first-page":"470","DOI":"10.1137\/0914029","volume":"14","author":"R.W. Freund","year":"1993","unstructured":"Freund R.W.: A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. SIAM J. Sci. Comput. 14, 470\u2013482 (1993)","journal-title":"SIAM J. Sci. Comput."},{"key":"415_CR21","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1007\/BF01385726","volume":"60","author":"R.W. Freund","year":"1991","unstructured":"Freund R.W., Nachtigal N.M.: QMR: a quasi-minimal residual method for non-Hermitian linear systems. Numer. Math. 60, 315\u2013339 (1991)","journal-title":"Numer. Math."},{"key":"415_CR22","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-8508-8","volume-title":"Finite Element Model Updating in Structural Dynamics","author":"M.I. Friswell","year":"1995","unstructured":"Friswell M.I., Mottershead J.E.: Finite Element Model Updating in Structural Dynamics. Kluwer, Dordrecht (1995)"},{"key":"415_CR23","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/BF00249054","volume":"5","author":"C. Geiger","year":"1996","unstructured":"Geiger C., Kanzow C.: On the resolution of monotone complementarity problems. Comput. Optim. Appl. 5, 155\u2013173 (1996)","journal-title":"Comput. Optim. Appl."},{"key":"415_CR24","volume-title":"Inverse Problems in Vibration","author":"G.M.L. Gladwell","year":"2004","unstructured":"Gladwell G.M.L.: Inverse Problems in Vibration. Kluwer, Dordrecht (2004)"},{"key":"415_CR25","doi-asserted-by":"crossref","first-page":"178","DOI":"10.1137\/S0363012994276494","volume":"35","author":"H.Y. Jiang","year":"1997","unstructured":"Jiang H.Y., Qi L.Q.: A new nonsmooth equations approach to nonlinear complementarity problems. SIAM J. Control Optim. 35, 178\u2013193 (1997)","journal-title":"SIAM J. Control Optim."},{"key":"415_CR26","doi-asserted-by":"crossref","first-page":"851","DOI":"10.1137\/S0895479894273134","volume":"17","author":"C. Kanzow","year":"1996","unstructured":"Kanzow C.: Some noninterior continuation methods for linear complementarity problems. SIAM J. Matrix Anal. Appl. 17, 851\u2013868 (1996)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"415_CR27","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1007\/s10107-005-0629-9","volume":"104","author":"F.W. Meng","year":"2005","unstructured":"Meng F.W., Sun D.F., Zhao G.Y.: Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization. Math. Program. 104, 561\u2013581 (2005)","journal-title":"Math. Program."},{"key":"415_CR28","doi-asserted-by":"crossref","first-page":"957","DOI":"10.1137\/0315061","volume":"15","author":"R. Mifflin","year":"1977","unstructured":"Mifflin R.: Semismooth and semiconvex functions in constrained optimization. SIAM J. Control Optim. 15, 957\u2013972 (1977)","journal-title":"SIAM J. Control Optim."},{"key":"415_CR29","volume-title":"Nonnegative Matrices","author":"H. Minc","year":"1988","unstructured":"Minc H.: Nonnegative Matrices. Wiley, New York (1988)"},{"key":"415_CR30","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":"415_CR31","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1137\/050634529","volume":"28","author":"R. Orsi","year":"2006","unstructured":"Orsi R.: Numerical methods for solving inverse eigenvalue problems for nonnegative matrices. SIAM J. Matrix Anal. Appl. 28, 190\u2013212 (2006)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"415_CR32","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1287\/moor.28.1.39.14258","volume":"28","author":"J.S. Pang","year":"2003","unstructured":"Pang J.S., Sun D.F., Sun J.: Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems. Math. Oper. Res. 28, 39\u201363 (2003)","journal-title":"Math. Oper. Res."},{"key":"415_CR33","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1287\/moor.22.2.301","volume":"22","author":"L.Q. Qi","year":"1997","unstructured":"Qi L.Q., Jiang H.Y.: Semismooth Karush-Kuhn-Tucker equations and convergence analysis of Newton methods and quasi-Newton methods for solving these equations. Math. Oper. Res. 22, 301\u2013325 (1997)","journal-title":"Math. Oper. Res."},{"key":"415_CR34","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/BF01581275","volume":"58","author":"L.Q. Qi","year":"1993","unstructured":"Qi L.Q., Sun J.: A nonsmooth version of Newton\u2019s method. Math. Program. 58, 353\u2013367 (1993)","journal-title":"Math. Program."},{"key":"415_CR35","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1287\/moor.5.1.43","volume":"5","author":"S.M. Robinson","year":"1980","unstructured":"Robinson S.M.: Strongly regular generalized equations. Math. Oper. Res. 5, 43\u201362 (1980)","journal-title":"Math. Oper. Res."},{"key":"415_CR36","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1007\/BFb0121018","volume":"22","author":"S.M. Robinson","year":"1984","unstructured":"Robinson S.M.: Local structure of feasible sets in nonlinear programming. Part II: nondegeneracy. Math. Program. Study 22, 217\u2013230 (1984)","journal-title":"Math. Program. Study"},{"key":"415_CR37","doi-asserted-by":"crossref","DOI":"10.1515\/9781400873173","volume-title":"Convex Analysis","author":"R.T. Rockafellar","year":"1970","unstructured":"Rockafellar R.T.: Convex Analysis. Princeton, New Jersey (1970)"},{"key":"415_CR38","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational Analysis","author":"R.T. Rockafellar","year":"1998","unstructured":"Rockafellar R.T., Wets R.J.B.: Variational Analysis. Springer, Berlin (1998)"},{"key":"415_CR39","doi-asserted-by":"crossref","first-page":"856","DOI":"10.1137\/0907058","volume":"7","author":"Y. Saad","year":"1986","unstructured":"Saad Y., Schultz M.H.: GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856\u2013869 (1986)","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"415_CR40","volume-title":"Non-negative Matrices and Markov Chains, 2nd rev. edn","author":"E. Senata","year":"2006","unstructured":"Senata E.: Non-negative Matrices and Markov Chains, 2nd rev. edn. Springer, New York (2006)"},{"key":"415_CR41","doi-asserted-by":"crossref","first-page":"2554","DOI":"10.1023\/A:1022940300114","volume":"115","author":"A. Shapiro","year":"2003","unstructured":"Shapiro A.: Sensitivity analysis of generalized equations. J. Math. Sci. 115, 2554\u20132565 (2003)","journal-title":"J. Math. Sci."},{"key":"415_CR42","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1137\/0910004","volume":"10","author":"P. Sonneveld","year":"1989","unstructured":"Sonneveld P.: CGS: a fast Lanczos-type solver for nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 10, 36\u201352 (1989)","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"415_CR43","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1287\/moor.1060.0195","volume":"31","author":"D.F. Sun","year":"2006","unstructured":"Sun D.F.: The strong second-order sufficient condition and constraint nondegeneracy in nonlinear semidefinite programming and their implications. Math. Oper. Res. 31, 761\u2013776 (2006)","journal-title":"Math. Oper. Res."},{"key":"415_CR44","first-page":"150","volume":"27","author":"D.F. Sun","year":"2002","unstructured":"Sun D.F., Sun J.: Semismooth matrix valued functions Math. Oper. Res. 27, 150\u2013169 (2002)","journal-title":"Oper. Res."},{"key":"415_CR45","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1007\/BF01385757","volume":"65","author":"J.G. Sun","year":"1993","unstructured":"Sun J.G.: Backward perturbation analysis of certain characteristic subspaces. Numer. Math. 65, 357\u2013382 (1993)","journal-title":"Numer. Math."},{"key":"415_CR46","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1137\/0913035","volume":"13","author":"H.A. Vorst van der","year":"1992","unstructured":"van der Vorst H.A.: Bi-CGSTAB: a fast and smoothly converging variant of the BI-CG for the solution of nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 13, 631\u2013644 (1992)","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"415_CR47","volume-title":"An Introduction to Inverse Eigenvalue Problems","author":"S.F. Xu","year":"1998","unstructured":"Xu S.F.: An Introduction to Inverse Eigenvalue Problems. Peking University Press and Vieweg Publishing, Beijing (1998)"},{"key":"415_CR48","first-page":"469","volume":"76","author":"N. Yamashita","year":"1997","unstructured":"Yamashita N., Fukushima M.: Modified Newton methods for solving semismooth reformulations of monotone complementarity problems. Math. Program. 76, 469\u2013491 (1997)","journal-title":"Math. Program."}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-011-0415-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-011-0415-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-011-0415-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,15]],"date-time":"2019-06-15T08:06:13Z","timestamp":1560585973000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-011-0415-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,9,14]]},"references-count":48,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2012,3]]}},"alternative-id":["415"],"URL":"https:\/\/doi.org\/10.1007\/s00211-011-0415-y","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,9,14]]}}}