{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T14:04:14Z","timestamp":1772805854513,"version":"3.50.1"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2019,4,10]],"date-time":"2019-04-10T00:00:00Z","timestamp":1554854400000},"content-version":"tdm","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":[[2020,2]]},"DOI":"10.1007\/s11075-019-00697-8","type":"journal-article","created":{"date-parts":[[2019,4,10]],"date-time":"2019-04-10T19:13:47Z","timestamp":1554923627000},"page":"653-668","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A new preconditioner for elliptic PDE-constrained optimization problems"],"prefix":"10.1007","volume":"83","author":[{"given":"Hamid","family":"Mirchi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0228-8565","authenticated-orcid":false,"given":"Davod Khojasteh","family":"Salkuyeh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,4,10]]},"reference":[{"key":"697_CR1","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1007\/s00607-010-0125-9","volume":"91","author":"Z-Z Bai","year":"2011","unstructured":"Bai, Z.-Z.: Block preconditioners for elliptic PDE-constrained optimization problems. Computing 91, 379\u2013395 (2011)","journal-title":"Computing"},{"key":"697_CR2","doi-asserted-by":"publisher","first-page":"418","DOI":"10.1006\/jcph.2002.7176","volume":"182","author":"M Benzi","year":"2002","unstructured":"Benzi, M.: Preconditioning techniques for large linear systems: a survey. J. Comput. Phys. 182, 418\u2013477 (2002)","journal-title":"J. Comput. Phys."},{"key":"697_CR3","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198528678.001.0001","volume-title":"Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics, Numer. Math. Sci. Comput.","author":"H Elman","year":"2005","unstructured":"Elman, H., Silvester, D., Wathen, A.: Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics, Numer. Math. Sci. Comput. Oxford University Press, Oxford (2005)"},{"key":"697_CR4","doi-asserted-by":"publisher","first-page":"1376","DOI":"10.1137\/S1064827598345667","volume":"23","author":"NIM Gould","year":"2001","unstructured":"Gould, N.I.M., Hribar, M.E., Nocedal, J.: On the solution of equality constrained quadratic programming problems arising in optimization. SIAM J. Sci. Comput. 23, 1376\u20131395 (2001)","journal-title":"SIAM J. Sci. Comput."},{"key":"697_CR5","doi-asserted-by":"publisher","first-page":"2795","DOI":"10.1016\/j.camwa.2018.01.009","volume":"75","author":"Y-F Ke","year":"2018","unstructured":"Ke, Y.-F., Ma, C.-F.: Some preconditioners for elliptic PDE-constrained optimization problems. Computers and Mathematics with Applications 75, 2795\u20132813 (2018)","journal-title":"Computers and Mathematics with Applications"},{"key":"697_CR6","volume-title":"Optimal Control of Systems","author":"JL Lions","year":"1968","unstructured":"Lions, J.L.: Optimal Control of Systems. Springer, New York (1968)"},{"key":"697_CR7","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1137\/0712047","volume":"12","author":"CC Paige","year":"1975","unstructured":"Paige, C.C., Saunders, M.A.: Solution of sparse indefinite systems of linear equations. SIAM J. Numer. Anal. 12, 617\u2013629 (1975)","journal-title":"SIAM J. Numer. Anal."},{"key":"697_CR8","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1137\/080727154","volume":"32","author":"T Rees","year":"2010","unstructured":"Rees, T., Dollar, H.S., Wathen, A.J.: Optimal solvers for PDE-constrained optimization. SIAM J. Sci. Comput. 32, 271\u2013298 (2010)","journal-title":"SIAM J. Sci. Comput."},{"key":"697_CR9","doi-asserted-by":"publisher","first-page":"977","DOI":"10.1002\/nla.693","volume":"17","author":"T Rees","year":"2010","unstructured":"Rees, T., Stoll, M.: Block-triangular preconditioners for PDE-constrained optimization. Numer. Linear Algebra Appl. 17, 977\u2013996 (2010)","journal-title":"Numer. Linear Algebra Appl."},{"key":"697_CR10","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718003","volume-title":"Iterative methods for sparse linear systems","author":"Y Saad","year":"2003","unstructured":"Saad, Y.: Iterative methods for sparse linear systems, 2nd. SIAM, Philadelphia (2003)","edition":"2nd"},{"key":"697_CR11","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1137\/0914028","volume":"14","author":"Y Saad","year":"1993","unstructured":"Saad, Y.: A flexible inner-outer preconditioned GMRES algorithm. SIAM J. Sci. Comput. 14, 461\u2013469 (1993)","journal-title":"SIAM J. Sci. Comput."},{"key":"697_CR12","doi-asserted-by":"publisher","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. Statist. Comput. 7, 856\u2013869 (1986)","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"697_CR13","doi-asserted-by":"publisher","first-page":"370","DOI":"10.4208\/jcm.1301-m4234","volume":"31","author":"G-F Zhang","year":"2013","unstructured":"Zhang, G.-F., Zheng, Z.: Block-symmetric and block-lower-triangular preconditioners for PDE-constrained optimization problems. J. Comput. Math. 31, 370\u2013381 (2013)","journal-title":"J. Comput. Math."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-019-00697-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-019-00697-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-019-00697-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T20:15:23Z","timestamp":1721160923000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-019-00697-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,4,10]]},"references-count":13,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,2]]}},"alternative-id":["697"],"URL":"https:\/\/doi.org\/10.1007\/s11075-019-00697-8","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,4,10]]},"assertion":[{"value":"14 December 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 March 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 April 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}