{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T19:52:32Z","timestamp":1743018752180,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540430438"},{"type":"electronic","value":"9783540453468"}],"license":[{"start":{"date-parts":[[2001,1,1]],"date-time":"2001-01-01T00:00:00Z","timestamp":978307200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2001,1,1]],"date-time":"2001-01-01T00:00:00Z","timestamp":978307200000},"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":[],"published-print":{"date-parts":[[2001]]},"DOI":"10.1007\/3-540-45346-6_16","type":"book-chapter","created":{"date-parts":[[2007,7,16]],"date-time":"2007-07-16T16:25:52Z","timestamp":1184603152000},"page":"166-174","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Solving Systems of Linear Algebraic Equations Using Quasirandom Numbers"],"prefix":"10.1007","author":[{"given":"Aneta","family":"Karaivanova","sequence":"first","affiliation":[]},{"given":"Rayna","family":"Georgieva","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2001,12,20]]},"reference":[{"key":"16_CR1","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1145\/146382.146385","volume":"2","author":"P. Bratley","year":"1992","unstructured":"P. Bratley, B. L. Fox, and H. Niederreiter. Implementation and tests of low discrepancy point sets, ACM Trans. on Modeling and Comp. Simul., 2, 195\u2013213, 1992.","journal-title":"ACM Trans. on Modeling and Comp. Simul."},{"key":"16_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1017\/S0962492900002804","volume":"7","author":"R. E. Caflisch","year":"1998","unstructured":"R. E. Caflisch. Monte Carlo and quasi-Monte Carlo methods, Acta Numerica, 7, 1\u201349, 1998.","journal-title":"Acta Numerica"},{"key":"16_CR3","first-page":"66","volume":"1196","author":"I. Dimov","year":"1996","unstructured":"I. Dimov and A. Karaivanova. Iterative Monte Carlo algorithms for linear algebra problems, Lecture Notes in Computer Science, 1196, Springer, 66\u201377, 1996.","journal-title":"Lecture Notes in Computer Science"},{"issue":"1\u20133","key":"16_CR4","first-page":"25","volume":"55","author":"I. Dimov","year":"2001","unstructured":"I. Dimov, V. Alexandrov, and A. Karaivanova. Resolvent Monte Carlo Methods for linear algebra problems, in The second IMACS Seminar on Monte Carlo Methods, Mathematics and Computers in Simulation, 55(1\u20133), 25\u201335, 2001.","journal-title":"The second IMACS Seminar on Monte Carlo Methods, Mathematics and Computers in Simulation"},{"key":"16_CR5","first-page":"337","volume":"XLI","author":"H. Faure","year":"1992","unstructured":"H. Faure. Discr\u00e9pance de suites associ\u00e9es \u00e1 un syst\u00e8me de num\u00e9ration (en dimension s), Acta Arithmetica, XLI, 337\u2013351, 1992.","journal-title":"Acta Arithmetica"},{"key":"16_CR6","unstructured":"J. H. Halton. Sequential Monte Carlo techniques for the solution of linear systems, TR 92-033, University of North Carolina at Chapel Hill, Department of Computer Science, 1992."},{"key":"16_CR7","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1007\/BF01386213","volume":"2","author":"J. H. Halton","year":"1960","unstructured":"J. H. Halton. On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals, Numer. Math., 2, 84\u201390, 1960.","journal-title":"Numer. Math."},{"key":"16_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-5819-7","volume-title":"Monte Carlo Methods","author":"J. M. Hammersley","year":"1964","unstructured":"J. M. Hammersley and D. C. Handscomb. Monte Carlo Methods, Chapman and Hall, London, New York, 1964."},{"key":"16_CR9","unstructured":"M. Mascagni and A. Karaivanova. Are quasirandom numbers good for anything besides integration?, in Proc. of Advances in Reactor Physics and Mathematics and Computation into the Next Millennium (PHYSOR2000), 2000, (to appear)."},{"key":"16_CR10","doi-asserted-by":"crossref","unstructured":"M. Mascagni and A. Karaivanova. Matrix computations using quasirandom sequences, in Numerical Analysis and its Applications, Lecture Notes in Computer Science, 1988, Springer, 552\u2013559, 2001.","DOI":"10.1007\/3-540-45262-1_65"},{"key":"16_CR11","doi-asserted-by":"crossref","unstructured":"H. Niederreiter. Random Number Generation and Quasi-Monte Carlo Methods, SIAM, Philadelphia, 1992.","DOI":"10.1137\/1.9781611970081"},{"key":"16_CR12","unstructured":"I. M. Sobo\u013a. Monte Carlo Numerical Methods, Nauka, Moscow, 1973, (in Russian)."},{"key":"16_CR13","first-page":"784","volume":"7","author":"I. M. Sobo\u013a","year":"1967","unstructured":"I. M. Sobo\u013a. The distribution of points in a cube and approximate evaluation of integrals, Zh. Vychisl. Mat. Mat. Fiz., 7, 784\u2013802, 1967, (in Russian).","journal-title":"Zh. Vychisl. Mat. Mat. Fiz."}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-45346-6_16","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,1,6]],"date-time":"2021-01-06T06:07:50Z","timestamp":1609913270000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-45346-6_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001]]},"ISBN":["9783540430438","9783540453468"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/3-540-45346-6_16","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2001]]},"assertion":[{"value":"20 December 2001","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}