{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T11:47:38Z","timestamp":1759146458504},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2018,4,2]],"date-time":"2018-04-02T00:00:00Z","timestamp":1522627200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001824","name":"Grantov\u00e1 Agentura Cesk\u00e9 Republiky","doi-asserted-by":"publisher","award":["GA13-06684S"],"award-info":[{"award-number":["GA13-06684S"]}],"id":[{"id":"10.13039\/501100001824","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Institute of Computer Science of the Czech Academy of Sciences","award":["RVO: 67985807"],"award-info":[{"award-number":["RVO: 67985807"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2019,3]]},"DOI":"10.1007\/s11075-018-0513-3","type":"journal-article","created":{"date-parts":[[2018,4,2]],"date-time":"2018-04-02T04:48:11Z","timestamp":1522644491000},"page":"957-987","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Properties of the block BFGS update and its application to the limited-memory block BNS method for unconstrained minimization"],"prefix":"10.1007","volume":"80","author":[{"given":"Jan","family":"Vl\u010dek","sequence":"first","affiliation":[]},{"given":"Ladislav","family":"Luk\u0161an","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,4,2]]},"reference":[{"key":"513_CR1","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/BF01582063","volume":"63","author":"RH Byrd","year":"1994","unstructured":"Byrd, R.H., Nocedal, J., Schnabel, R.B.: Representation of quasi-Newton matrices and their use in limited memory methods. Math. Program. 63, 129\u2013156 (1994)","journal-title":"Math. Program."},{"key":"513_CR2","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1145\/200979.201043","volume":"21","author":"I Bongartz","year":"1995","unstructured":"Bongartz, I., Conn, A.R., Gould, N., Toint, P.L.: CUTE: Constrained and unconstrained testing environment. ACM Trans. Math. Softw. 21, 123\u2013160 (1995)","journal-title":"ACM Trans. Math. Softw."},{"key":"513_CR3","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1137\/1021091","volume":"21","author":"JEJr Dennis","year":"1979","unstructured":"Dennis, J.E. Jr, Schnabel, R.B.: Least change secant updates for quasi-Newton methods. SIAM Rev. 21, 443\u2013459 (1979)","journal-title":"SIAM Rev."},{"key":"513_CR4","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1007\/s101070100263","volume":"91","author":"ED Dolan","year":"2002","unstructured":"Dolan, E.D., Mor\u00e9, J.J.: Benchmarking optimization software with performance profiles. Math. Program. 91, 201\u2013213 (2002)","journal-title":"Math. Program."},{"key":"513_CR5","volume-title":"Special Matrices and Their Applications in Numerical Mathematics","author":"M Fiedler","year":"2008","unstructured":"Fiedler, M.: Special Matrices and Their Applications in Numerical Mathematics, 2nd edn. Dover Publications, Mineola (2008)","edition":"2nd edn."},{"key":"513_CR6","volume-title":"Practical Methods of Optimization","author":"R Fletcher","year":"1987","unstructured":"Fletcher, R.: Practical Methods of Optimization. Wiley, Chichester (1987)"},{"key":"513_CR7","volume-title":"Motivating quasi-Newton Updates by Preconditioned Conjugate Gradient Methods, Math. Report A 150, Department of Mathematical Sciences","author":"YF Hu","year":"1991","unstructured":"Hu, Y.F., Storey, C.: Motivating quasi-Newton Updates by Preconditioned Conjugate Gradient Methods, Math. Report A 150, Department of Mathematical Sciences. Loughborough University of Technology, England (1991)"},{"key":"513_CR8","doi-asserted-by":"publisher","first-page":"503","DOI":"10.1007\/BF01589116","volume":"45","author":"DC Liu","year":"1989","unstructured":"Liu, D.C., Nocedal, J.: On the limited memory BFGS method for large scale optimization. Math. Prog. 45, 503\u2013528 (1989)","journal-title":"Math. Prog."},{"key":"513_CR9","doi-asserted-by":"crossref","first-page":"16:1","DOI":"10.1145\/1527286.1527290","volume":"36","author":"L Luk\u0161an","year":"2009","unstructured":"Luk\u0161an, L., Matonoha, C., Vl\u010dek, J.: Algorithm 896: LSA\u2014algorithms for large-scale optimization. ACM Trans. Math. Softw. 36, 16:1-16:29 (2009)","journal-title":"ACM Trans. Math. Softw."},{"key":"513_CR10","unstructured":"Luksan, L., Matonoha, C., Vlcek, J.: Sparse test problems for unconstrained optimization, report V-1064. Prague, ICS AS CR (2010)"},{"key":"513_CR11","unstructured":"Luksan, L., Matonoha, C., Vlcek, J.: Modified CUTE problems for sparse unconstrained optimization, Report V-1081. Prague, ICS AS CR (2010)"},{"key":"513_CR12","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/S0377-0427(00)00420-9","volume":"124","author":"L Luk\u0161an","year":"2000","unstructured":"Luk\u0161an, L., Spedicato, E.: Variable metric methods for unconstrained optimization and nonlinear least squares. J. Comput. Appl. Math. 124, 61\u201395 (2000)","journal-title":"J. Comput. Appl. Math."},{"key":"513_CR13","unstructured":"Luk\u0161an, L., Tuma, M., Matonoha, C., Vlcek, J., Ramesov\u00e1, N., Siska, M., Hartman, J.: UFO 2014. Interactive system for universal functional optimization, Report V-1218. Prague, ICS AS CR (2014)"},{"key":"513_CR14","doi-asserted-by":"publisher","first-page":"773","DOI":"10.1090\/S0025-5718-1980-0572855-7","volume":"35","author":"J Nocedal","year":"1980","unstructured":"Nocedal, J.: Updating quasi-Newton matrices with limited storage. Math. Comp. 35, 773\u2013782 (1980)","journal-title":"Math. Comp."},{"key":"513_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/b98874","volume-title":"Numerical Optimization","author":"J Nocedal","year":"1999","unstructured":"Nocedal, J., Wright, S.J.: Numerical Optimization. Springer-Verlag, New York (1999)"},{"key":"513_CR16","doi-asserted-by":"crossref","unstructured":"Schnabel, R.B.: Quasi-Newton methods using multiple secant equations, Technical Report CU-CS-247-83, Department of Computer Science, University of Colorado at Boulder USA (1983)","DOI":"10.21236\/ADA131444"},{"key":"513_CR17","doi-asserted-by":"crossref","first-page":"800","DOI":"10.1016\/j.amc.2012.06.042","volume":"219","author":"J Vlcek","year":"2012","unstructured":"Vlcek, J., Luksan, L.: A conjugate directions approach to improve the limited-memory BFGS method. Appl Math. Comput. 219, 800\u2013809 (2012)","journal-title":"Appl Math. Comput."},{"key":"513_CR18","doi-asserted-by":"publisher","first-page":"616","DOI":"10.1080\/10556788.2014.955101","volume":"30","author":"J Vlcek","year":"2015","unstructured":"Vlcek, J., Luksan, L.: A modified limited-memory BNS method for unconstrained minimization based on conjugate directions idea. Optim. Methods Softw. 30, 616\u2013633 (2015)","journal-title":"Optim. Methods Softw."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-018-0513-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-018-0513-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-018-0513-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,30]],"date-time":"2020-10-30T19:39:15Z","timestamp":1604086755000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-018-0513-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,2]]},"references-count":18,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,3]]}},"alternative-id":["513"],"URL":"https:\/\/doi.org\/10.1007\/s11075-018-0513-3","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,2]]},"assertion":[{"value":"30 June 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 March 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 April 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}