{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T22:57:16Z","timestamp":1725663436966},"publisher-location":"Berlin, Heidelberg","reference-count":15,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540530657"},{"type":"electronic","value":"9783540465973"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1990]]},"DOI":"10.1007\/3-540-53065-7_92","type":"book-chapter","created":{"date-parts":[[2012,2,25]],"date-time":"2012-02-25T21:52:47Z","timestamp":1330206767000},"page":"108-119","source":"Crossref","is-referenced-by-count":10,"title":["Divide and conquer: A new parallel algorithm for the solution of a tridiagonal linear system of equations"],"prefix":"10.1007","author":[{"given":"Stefan","family":"Bondeli","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2005,6,2]]},"reference":[{"issue":"1","key":"10_CR1","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1137\/0709008","volume":"9","author":"I. Babuska","year":"1972","unstructured":"Babuska I.: Numerical stability in problems of linear algebra, SIAM J. Numer. Anal. 9 (1)(1972) 53\u201377.","journal-title":"SIAM J. Numer. Anal."},{"key":"10_CR2","doi-asserted-by":"crossref","unstructured":"Bondeli S.: A new Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations, Report 130, Departement f\u00fcr Informatik, ETH Z\u00fcrich 1990.","DOI":"10.1007\/3-540-53065-7_92"},{"key":"10_CR3","volume-title":"Parallel Processing","author":"D.J. Evans","year":"1982","unstructured":"Evans D.J.: Parallel Processing, Cambridge University Press, Cambridge 1982."},{"key":"10_CR4","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1145\/321250.321259","volume":"12","author":"R. Hockney","year":"1965","unstructured":"Hockney R.: A Fast Direct Solution of Poisson's Equation using Fourier Analysis, J. ACM 12 (1965) 95\u2013113.","journal-title":"J. ACM"},{"key":"10_CR5","volume-title":"Parallel Computers","author":"R. Hockney","year":"1981","unstructured":"Hockney R., Jesshope C.: Parallel Computers, Adam Hilger Ltd., Bristol, 1981."},{"key":"10_CR6","volume-title":"Parallel Computers 2","author":"R. Hockney","year":"1988","unstructured":"Hockney R., Jesshope C.: Parallel Computers 2, Adam Hilger Ltd., Bristol, 1988."},{"issue":"3","key":"10_CR7","doi-asserted-by":"publisher","first-page":"354","DOI":"10.1137\/0908040","volume":"8","author":"S.L. Johnsson","year":"1987","unstructured":"Johnsson S.L.: Solving tridiagonal Systems on ensemble Architectures, SIAM J. SCI. STAT. Comput., Vol. 8, No 3, (May 1987) 354\u2013389.","journal-title":"SIAM J. SCI. STAT. Comput."},{"key":"10_CR8","unstructured":"Lakshmivarahan S., Dhall S.K.: A new class of parallel algorithms for solving linear tridiagonal systems, 1986 315\u2013324."},{"key":"10_CR9","doi-asserted-by":"crossref","unstructured":"Lambiotte J., Voigt R.: The Solution of Tridiagonal Linear Systems on the CDC STAR-100 Computer, ACM Trans. Math. Soft. 1, 308\u2013329.","DOI":"10.1145\/355656.355658"},{"key":"10_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-2112-3","volume-title":"Introduction to Parallel and Vector Solution of Linear Systems","author":"J. Ortega","year":"1988","unstructured":"Ortega J., Introduction to Parallel and Vector Solution of Linear Systems, Plenum Press, New York 1988."},{"issue":"11","key":"10_CR11","doi-asserted-by":"publisher","first-page":"1008","DOI":"10.1145\/182.358469","volume":"26","author":"W.P. Petersen","year":"1983","unstructured":"Petersen W.P.: Vector Fortran for Numerical Problems on CRAY-1, Communications of the ACM 26 (11)(1983) 1008\u20131021.","journal-title":"Communications of the ACM"},{"key":"10_CR12","unstructured":"Schoenauer W.: Scientific Computing on Vector Computers, North-Holland 1987."},{"issue":"4","key":"10_CR13","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1145\/355656.355657","volume":"1","author":"H.S. Stone","year":"1975","unstructured":"Stone H.S., Parallel tridiagonal equation solvers ACM Trans. Math. Softw. 1 (4)(1975) 289\u2013307.","journal-title":"Math. Softw."},{"key":"10_CR14","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/0167-8191(87)90005-6","volume":"5","author":"H.A. Vorst van der","year":"1987","unstructured":"van der Vorst H.A.: Large tridiagonal and block tridiagonal linear systems on vector and parallel computers, Parallel Computing 5 (1987) 45\u201354.","journal-title":"Parallel Computing"},{"issue":"2","key":"10_CR15","doi-asserted-by":"publisher","first-page":"170","DOI":"10.1145\/355945.355947","volume":"7","author":"H.H. Wang","year":"1981","unstructured":"Wang H.H.: A Parallel Method for Tridiagonal Equations, ACM Trans. math. Software 7 (2)(1981) 170\u2013183.","journal-title":"ACM Trans. math. Software"}],"container-title":["Lecture Notes in Computer Science","CONPAR 90 \u2014 VAPP IV"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-53065-7_92.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,17]],"date-time":"2020-11-17T21:26:21Z","timestamp":1605648381000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-53065-7_92"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990]]},"ISBN":["9783540530657","9783540465973"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/3-540-53065-7_92","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1990]]}}}