{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T05:56:49Z","timestamp":1757311009655,"version":"3.37.3"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2021,6,12]],"date-time":"2021-06-12T00:00:00Z","timestamp":1623456000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,6,12]],"date-time":"2021-06-12T00:00:00Z","timestamp":1623456000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11701197"],"award-info":[{"award-number":["11701197"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2021,7]]},"DOI":"10.1007\/s40314-021-01549-9","type":"journal-article","created":{"date-parts":[[2021,6,12]],"date-time":"2021-06-12T17:02:42Z","timestamp":1623517362000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Alternating projection method for doubly stochastic inverse eigenvalue problems with partial eigendata"],"prefix":"10.1007","volume":"40","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9042-6539","authenticated-orcid":false,"given":"Meixiang","family":"Chen","sequence":"first","affiliation":[]},{"given":"Zhifeng","family":"Weng","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,6,12]]},"reference":[{"key":"1549_CR1","doi-asserted-by":"publisher","first-page":"318","DOI":"10.1016\/j.laa.2017.10.005","volume":"537","author":"I Adelia","year":"2018","unstructured":"Adelia I, Taheria M, Moghadama MM (2018) A recursive method for constructing doubly stochastic matrices and inverse eigenvalue problem. Linear Algebra Appl 537:318\u2013331","journal-title":"Linear Algebra Appl"},{"issue":"6","key":"1549_CR2","doi-asserted-by":"publisher","first-page":"2531","DOI":"10.1137\/060656346","volume":"29","author":"ZJ Bai","year":"2007","unstructured":"Bai ZJ, Chu DL, Sun DF (2007) A dual optimization approach of inverse quadratic eigenvalue problems with partial eigenstructure. SIAM J Sci Comput 29(6):2531\u20132561","journal-title":"SIAM J Sci Comput"},{"issue":"2","key":"1549_CR3","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1137\/050639831","volume":"29","author":"ZJ Bai","year":"2007","unstructured":"Bai ZJ, Chu DL, Tan RCE (2007) Computing the nearest doubly stochastic matrix with a prescribed entry. SIAM J Sci Comput 29(2):635\u2013655","journal-title":"SIAM J Sci Comput"},{"key":"1549_CR4","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1137\/S0036144593251710","volume":"38","author":"HH Bauschke","year":"1996","unstructured":"Bauschke HH, Borwein JM (1996) On projection algorithms for solving convex feasibility problems. SIAM Rev 38:367\u2013426","journal-title":"SIAM Rev"},{"key":"1549_CR5","doi-asserted-by":"publisher","first-page":"448","DOI":"10.1090\/S0002-9939-1959-0105008-8","volume":"10","author":"W Cheney","year":"1959","unstructured":"Cheney W, Goldstein A (1959) Proximity maps for convex sets. Proc Am Math Soc 10:448\u2013450","journal-title":"Proc Am Math Soc"},{"key":"1549_CR6","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 MT, Golub GH (2005) Inverse eigenvalue problems: theory, algorithms, and applications. Oxford University Press, Oxford"},{"key":"1549_CR7","doi-asserted-by":"publisher","first-page":"995","DOI":"10.1137\/S0895479803404484","volume":"25","author":"MT Chu","year":"2004","unstructured":"Chu MT, Kuo YC, Lin WW (2004) On inverse quadratic eigenvalue problems with partially prescribed eigenstructure. SIAM J Matrix Anal Appl 25:995\u20131020","journal-title":"SIAM J Matrix Anal Appl"},{"key":"1549_CR8","volume-title":"Optimization and nonsmooth analysis","author":"FH Clarke","year":"1983","unstructured":"Clarke FH (1983) Optimization and nonsmooth analysis. Wiley, New York"},{"key":"1549_CR9","volume-title":"Numerical methods for unconstrained optimization and nonlinear equations","author":"JE Dennis","year":"1983","unstructured":"Dennis JE, Schnabel RB (1983) Numerical methods for unconstrained optimization and nonlinear equations. Prentice-Hall, Hoboken"},{"key":"1549_CR10","doi-asserted-by":"publisher","DOI":"10.1137\/9781611971941","volume-title":"Alternating projection methods","author":"R Escalante","year":"2011","unstructured":"Escalante R, Raydan M (2011) Alternating projection methods. Society for Industrial and Applied Mathematics, Philadelphia"},{"key":"1549_CR11","volume-title":"Stochastic models in biology","author":"NW Goel","year":"1974","unstructured":"Goel NW, Richter-Dyn N (1974) Stochastic models in biology. Academic Press, New York"},{"key":"1549_CR12","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511810817","volume-title":"Matrix analysis","author":"RA Horn","year":"1985","unstructured":"Horn RA, Johnson CR (1985) Matrix analysis. Cambridge University Press, Cambridge"},{"key":"1549_CR13","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1016\/S0024-3795(03)00366-5","volume":"379","author":"SK Hwang","year":"2004","unstructured":"Hwang SK, Pyo SS (2004) The inverse eigenvalue problem for symmetric doubly stochastic matrices. Linear Algebra Appl 379:77\u201383","journal-title":"Linear Algebra Appl"},{"key":"1549_CR14","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1016\/j.laa.2013.12.005","volume":"445","author":"Y Lei","year":"2014","unstructured":"Lei Y, Xu W, Lu Y, Niu Y, Gu X (2014) On the symmetric doubly stochastic inverse eigenvalue problem. Linear Algebra Appl 445:181\u2013205","journal-title":"Linear Algebra Appl"},{"key":"1549_CR15","first-page":"238","volume":"255","author":"JJ Moreau","year":"1962","unstructured":"Moreau JJ (1962) D$$\\acute{\\rm e}$$composition orthogonale d\u2019un espace hilbertien selon deux cones mutuellement polaires. C R Acad Sci 255:238\u2013240","journal-title":"C R Acad Sci"},{"key":"1549_CR16","doi-asserted-by":"publisher","first-page":"353","DOI":"10.1007\/BF01581275","volume":"58","author":"L Qi","year":"1993","unstructured":"Qi L, Sun J (1993) A nonsmooth version of Newton\u2019s method. Math Progr 58:353\u2013367","journal-title":"Math Progr"},{"key":"1549_CR17","doi-asserted-by":"publisher","first-page":"360","DOI":"10.1137\/050624509","volume":"28","author":"H Qi","year":"2006","unstructured":"Qi H, Sun DF (2006) A quadratically convergent Newton method for computing the nearest correlation matrix. SIAM J Matrix Anal Appl 28:360\u2013385","journal-title":"SIAM J Matrix Anal Appl"},{"key":"1549_CR18","doi-asserted-by":"publisher","first-page":"876","DOI":"10.1214\/aoms\/1177703591","volume":"35","author":"R Sinkhorn","year":"1964","unstructured":"Sinkhorn R (1964) A relationship between arbitrary positive matrices and doubly stochastic matrices. Ann Math Stat 35:876\u2013879","journal-title":"Ann Math Stat"},{"key":"1549_CR19","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1007\/BF01385757","volume":"65","author":"JG Sun","year":"1993","unstructured":"Sun JG (1993) Backward perturbation analysis of certain characteristic subspaces. Numer Math 65:357\u2013382","journal-title":"Numer Math"},{"key":"1549_CR20","volume-title":"Stochastic processes in physics and chemistry","author":"NG Van Kampen","year":"2007","unstructured":"Van Kampen NG (2007) Stochastic processes in physics and chemistry, 3rd edn. Elsevier, Amsterdam","edition":"3"},{"issue":"1","key":"1549_CR21","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1137\/15M1023051","volume":"37","author":"TT Yao","year":"2016","unstructured":"Yao TT, Bai ZJ, Zhao Z (2016) A Riemannian Fletcher\u2013Reeves conjugate gradient method for doubly stochastic inverse eigenvalue problems. SIAM J Matrix Anal Appl 37(1):215\u2013234","journal-title":"SIAM J Matrix Anal Appl"},{"key":"1549_CR22","first-page":"1","volume":"e2221","author":"TT Yao","year":"2018","unstructured":"Yao TT, Bai ZJ, Zhao Z (2018) A Riemannian variant of the Fletcher-Reeves conjugate gradient method for stochastic inverse eigenvalue problems with partial eigendata. Numer Linear Algebra e2221:1\u201319","journal-title":"Numer Linear Algebra"},{"key":"1549_CR23","doi-asserted-by":"publisher","first-page":"2015","DOI":"10.1137\/140992576","volume":"54","author":"Z Zhao","year":"2016","unstructured":"Zhao Z, Jin XQ, Bai ZJ (2016) A geometric nonlinear conjugate gradient method for stochastic inverse eigenvalue problems. SIAM J Numer Anal 54:2015\u20132035","journal-title":"SIAM J Numer Anal"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-021-01549-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-021-01549-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-021-01549-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,10]],"date-time":"2021-07-10T10:29:12Z","timestamp":1625912952000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-021-01549-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,12]]},"references-count":23,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,7]]}},"alternative-id":["1549"],"URL":"https:\/\/doi.org\/10.1007\/s40314-021-01549-9","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"type":"print","value":"2238-3603"},{"type":"electronic","value":"1807-0302"}],"subject":[],"published":{"date-parts":[[2021,6,12]]},"assertion":[{"value":"19 February 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 May 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 June 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 June 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"164"}}