{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T18:20:58Z","timestamp":1725646858310},"publisher-location":"Berlin, Heidelberg","reference-count":10,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540343837"},{"type":"electronic","value":"9783540343844"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11758532_83","type":"book-chapter","created":{"date-parts":[[2006,5,9]],"date-time":"2006-05-09T18:53:17Z","timestamp":1147200797000},"page":"632-639","source":"Crossref","is-referenced-by-count":3,"title":["Error Analysis of a Monte Carlo Algorithm for Computing Bilinear Forms of Matrix Powers"],"prefix":"10.1007","author":[{"given":"Ivan","family":"Dimov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vassil","family":"Alexandrov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Simon","family":"Branford","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christian","family":"Weihrauch","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"3-4","key":"83_CR1","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1515\/mcma.2004.10.3-4.213","volume":"10","author":"V. Alexandrov","year":"2004","unstructured":"Alexandrov, V., Atanassov, E., Dimov, I.: Parallel Quasi-Monte Carlo Methods for Linear Algebra Problems. Monte Carlo Methods and Applications\u00a010(3-4), 213\u2013219 (2004)","journal-title":"Monte Carlo Methods and Applications"},{"key":"83_CR2","unstructured":"Dimov, I.: Minimization of the Probable Error for Some Monte Carlo methods. In: Proc. Int. Conf. on Mathematical Modeling and Scientific Computation, Albena, Bulgaria, Sofia, pp. 159\u2013170. Publ. House of the Bulgarian Academy of Sciences (1991)"},{"key":"83_CR3","first-page":"57","volume":"13","author":"I. Dimov","year":"2000","unstructured":"Dimov, I.: Monte Carlo Algorithms for Linear Problems. Pliska (Studia Mathematica Bulgarica)\u00a013, 57\u201377 (2000)","journal-title":"Pliska (Studia Mathematica Bulgarica)"},{"key":"83_CR4","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1016\/S0377-0427(98)00043-0","volume":"92","author":"I. Dimov","year":"1997","unstructured":"Dimov, I., Dimov, T., Gurov, T.: A New Iterative Monte Carlo Approach for Inverse Matrix Problem. Journal of Computational and Applied Mathematics\u00a092, 15\u201335 (1997)","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"83_CR5","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1016\/S0378-4754(98)00101-3","volume":"47","author":"I.T. Dimov","year":"1998","unstructured":"Dimov, I.T., Alexandrov, V.: A New Highly Convergent Monte Carlo Method for Matrix Computations. Mathematics and Computers in Simulation\u00a047, 165\u2013181 (1998)","journal-title":"Mathematics and Computers in Simulation"},{"issue":"1","key":"83_CR6","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1515\/mcma.1998.4.1.33","volume":"4","author":"I. Dimov","year":"1998","unstructured":"Dimov, I., Karaivanova, A.: Parallel computations of eigenvalues based on a Monte Carlo approach. Journal of Monte Carlo Method and Applications\u00a04(1), 33\u201352 (1998)","journal-title":"Journal of Monte Carlo Method and Applications"},{"key":"83_CR7","volume-title":"Matrix computations","author":"G.V. Golub","year":"1996","unstructured":"Golub, G.V., Van Loon, C.F.: Matrix computations, 3rd edn. Johns Hopkins Univ. Press, Baltimore (1996)","edition":"3"},{"key":"83_CR8","unstructured":"Sobol, I.M.: Monte Carlo numerical methods, Nauka, Moscow (1973)"},{"key":"83_CR9","volume-title":"A Handbook of Numerical matrix Inversion and Solution of Linear Equations","author":"J.R. Westlake","year":"1968","unstructured":"Westlake, J.R.: A Handbook of Numerical matrix Inversion and Solution of Linear Equations. John Wiley & Sons, Inc., New York (1968)"},{"key":"83_CR10","first-page":"369","volume-title":"Monte Carlo and Quasi-Monte Carlo Methods","author":"M. Mascagni","year":"2000","unstructured":"Mascagni, M., Karaivanova, A.: A Parallel Quasi-Monte Carlo Method for Computing Extremal Eigenvalues. In: Monte Carlo and Quasi-Monte Carlo Methods, pp. 369\u2013380. Springer, Heidelberg (2000)"}],"container-title":["Lecture Notes in Computer Science","Computational Science \u2013 ICCS 2006"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11758532_83","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,13]],"date-time":"2019-03-13T22:51:43Z","timestamp":1552517503000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11758532_83"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540343837","9783540343844"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/11758532_83","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}