{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T16:12:51Z","timestamp":1725552771945},"publisher-location":"Berlin, Heidelberg","reference-count":17,"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_84","type":"book-chapter","created":{"date-parts":[[2006,5,9]],"date-time":"2006-05-09T18:53:17Z","timestamp":1147200797000},"page":"640-647","source":"Crossref","is-referenced-by-count":3,"title":["Comparison of the Computational Cost of a Monte Carlo and Deterministic Algorithm for Computing Bilinear Forms of Matrix Powers"],"prefix":"10.1007","author":[{"given":"Christian","family":"Weihrauch","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ivan","family":"Dimov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Simon","family":"Branford","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vassil","family":"Alexandrov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"3-4","key":"84_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":"84_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":"84_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":"84_CR4","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1016\/S0378-4754(00)00243-3","volume":"55","author":"I. Dimov","year":"2001","unstructured":"Dimov, I., Alexandrov, V., Karaivanova, A.: Parallel resolvent Monte Carlo algorithms for linear algebra problems. J. Mathematics and Computers in Simulation\u00a055, 25\u201335 (2001)","journal-title":"J. Mathematics and Computers in Simulation"},{"key":"84_CR5","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":"84_CR6","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":"84_CR7","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":"84_CR8","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1142\/9789814291071_0022","volume-title":"Recent Advances in Numerical Methods and Applications","author":"I. Dimov","year":"1999","unstructured":"Dimov, I., Karaivanova, A.: A Power Method with Monte Carlo Iterations. In: Iliev, O., Kaschiev, M., Sendov, B.l., Vassilevski, P. (eds.) Recent Advances in Numerical Methods and Applications, pp. 239\u2013247. World Scientific, Singapore (1999)"},{"key":"84_CR9","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":"84_CR10","unstructured":"Sobol, I.M.: Monte Carlo numerical methods, Nauka, Moscow (1973)"},{"key":"84_CR11","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":"84_CR12","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1016\/0377-0427(93)90024-6","volume":"48","author":"I. Dimov","year":"1993","unstructured":"Dimov, I., Tonev, O.: Monte Carlo Algorithms: Performance Analysis for Some Computer Architectures. Journal of Computational and Applied Mathematics\u00a048, 253\u2013277 (1993)","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"#cr-split#-84_CR13.1","unstructured":"Dimov, I.: Monte Carlo Algorithms for Linear Problems. Pliska (Studia Mathematica Bulgarica)\u00a013 (2000);"},{"key":"#cr-split#-84_CR13.2","unstructured":"Proceedings of the 9th International Summer School on Probability Theory and Mathematical Statistics, Sozopol, pp. 57-77 (1997)"},{"key":"#cr-split#-84_CR14.1","unstructured":"Dimov, I., Karaivanova, A., Yordanova, P.: Monte Carlo Algorithms for calculating eigenvalues. In: Second International Conference on Monte Carlo and Quasi-Monte Carlo methods in scientific computing, University of Salzburg, July 8-12 (1996);"},{"key":"#cr-split#-84_CR14.2","unstructured":"Niederreiter, H., Hellekalek, P., Larcher, G., Zinterhof, P. (eds.): Proceedings of MC & QMC 1996. Springer Notes in Statistics, pp. 205\u2013220 (1997)"},{"key":"84_CR15","series-title":"Sorting and Searching","volume-title":"The Art of Computer Programming","author":"D. Knuth","year":"1997","unstructured":"Knuth, D.: The Art of Computer Programming, 3rd edn. Sorting and Searching, vol.\u00a03. Addison-Wesley, Reading (1997)","edition":"3"}],"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_84","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,1,17]],"date-time":"2019-01-17T22:56:53Z","timestamp":1547765813000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11758532_84"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540343837","9783540343844"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/11758532_84","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}