{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T07:26:03Z","timestamp":1751873163294},"reference-count":30,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[1995,3,1]],"date-time":"1995-03-01T00:00:00Z","timestamp":794016000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Future Generation Computer Systems"],"published-print":{"date-parts":[[1995,3]]},"DOI":"10.1016\/0167-739x(94)00058-m","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T16:09:12Z","timestamp":1027613352000},"page":"167-173","source":"Crossref","is-referenced-by-count":8,"title":["Implementation of parallel block preconditionings on a transputer-based multiprocessor"],"prefix":"10.1016","volume":"11","author":[{"given":"Magolu","family":"monga-Made","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0167-739X(94)00058-M_BIB1","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1137\/0909009","article-title":"On vectorizing incomplete factorization and SSOR preconditioners","volume":"9","author":"Ashcraft","year":"1988","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"10.1016\/0167-739X(94)00058-M_BIB2","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/0377-0427(89)90372-5","article-title":"Vectorizable preconditioners for elliptic difference equations in three space dimensions","volume":"27","author":"Axelsson","year":"1989","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/0167-739X(94)00058-M_BIB3","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1002\/nme.1620270314","article-title":"On a class of preconditioned iterative methods on parallel computers","volume":"27","author":"Axelsson","year":"1989","journal-title":"Int. J. Numer. Meth. Eng."},{"key":"10.1016\/0167-739X(94)00058-M_BIB4","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0024-3795(86)90159-X","article-title":"An approximate factorization methods for block matrices suitable for vector and parallel processors","volume":"77","author":"Axelsson","year":"1986","journal-title":"Lin. Alg. Appl."},{"key":"10.1016\/0167-739X(94)00058-M_BIB5","first-page":"54","article-title":"Twelve ways to fool masses when giving performance results on parallel computers","author":"Bailey","year":"1991","journal-title":"Supercomputing Rev."},{"key":"10.1016\/0167-739X(94)00058-M_BIB6","doi-asserted-by":"crossref","unstructured":"R. Beauwens, Private communication to S. Bousri and M.M. Magolu, April 1992.","DOI":"10.1016\/0306-4549(92)90002-S"},{"key":"10.1016\/0167-739X(94)00058-M_BIB7","doi-asserted-by":"crossref","first-page":"941","DOI":"10.1137\/0725053","article-title":"Existence and conditioning properties of sparse approximate block factorizations","volume":"25","author":"Beauwens","year":"1988","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/0167-739X(94)00058-M_BIB8","series-title":"PARIX 1.2, Software Documentation","author":"Clauss","year":"1993"},{"key":"10.1016\/0167-739X(94)00058-M_BIB9","series-title":"Sparse Matrix Computations","first-page":"309","article-title":"A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations","author":"Concus","year":"1976"},{"key":"10.1016\/0167-739X(94)00058-M_BIB10","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1137\/0906018","article-title":"Block preconditioning for the conjugate gradient method","volume":"6","author":"Concus","year":"1985","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"10.1016\/0167-739X(94)00058-M_BIB11","series-title":"Iterative Methods in Linear Algebra","first-page":"339","article-title":"Implementation of ICCG algorithm on distributed memory architecture","author":"Daoudi","year":"1992"},{"key":"10.1016\/0167-739X(94)00058-M_BIB12","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1007\/BF01932738","article-title":"The effect of ordering on preconditioned conjugate gradients","volume":"29","author":"Duff","year":"1989","journal-title":"BIT"},{"key":"10.1016\/0167-739X(94)00058-M_BIB13","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/0167-8191(89)90080-X","article-title":"Positive definiteness aspects of vectorizable preconditioners","volume":"10","author":"Eijkhout","year":"1989","journal-title":"Parallel Comput."},{"key":"10.1016\/0167-739X(94)00058-M_BIB14","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/0010-4655(89)90164-1","article-title":"Ordering techniques for the preconditioned conjugate gradient method on parallel computers","volume":"53","author":"Elman","year":"1989","journal-title":"Comput. Phys. Comm."},{"key":"10.1016\/0167-739X(94)00058-M_BIB15","doi-asserted-by":"crossref","first-page":"1111","DOI":"10.1016\/S0167-8191(05)80029-8","article-title":"Performance parameters and benchmarking of supercomputers","volume":"17","author":"Hockney","year":"1991","journal-title":"Parallel Comput."},{"key":"10.1016\/0167-739X(94)00058-M_BIB16","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1090\/S0025-5718-1966-0234618-4","article-title":"Estimates for some computational techniques in Linear Algebra","volume":"20","author":"Kaniel","year":"1966","journal-title":"Math. Comp."},{"key":"10.1016\/0167-739X(94)00058-M_BIB17","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/0168-9274(91)90096-I","article-title":"Conditioning analysis of sparse block approximate factorizations","volume":"8","author":"Magolu","year":"1991","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/0167-739X(94)00058-M_BIB18","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1007\/BF01385499","article-title":"Modified block-approximate factorization strategies","volume":"61","author":"Magolu","year":"1992","journal-title":"Numer. Math."},{"key":"10.1016\/0167-739X(94)00058-M_BIB19","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1016\/0377-0427(92)90208-F","article-title":"Lower eigenvalue bounds for singular pencils of matrices","volume":"39","author":"Magolu","year":"1992","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/0167-739X(94)00058-M_BIB20","series-title":"Iterative Methods in Linear Algebra","first-page":"519","article-title":"Sparse block approximate factorizations for singular problems","author":"Magolu","year":"1992"},{"key":"10.1016\/0167-739X(94)00058-M_BIB21","article-title":"Sparse approximate block factorizations for solving symmetric positive (semi)definite linear systems","author":"Magolu","year":"1992"},{"key":"10.1016\/0167-739X(94)00058-M_BIB22","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/0024-3795(93)90320-N","article-title":"Analytical bounds for block approximate factorization methods","volume":"179","author":"Magolu","year":"1993","journal-title":"Lin. Alg. Appl."},{"key":"10.1016\/0167-739X(94)00058-M_BIB23","series-title":"Incomplete Decomposition (ILU) \u2014 Algorithms, Theory and Applications","first-page":"78","article-title":"Empirically modified block incomplete factorizations","volume":"Vol. 41","author":"Magolu","year":"1993"},{"key":"10.1016\/0167-739X(94)00058-M_BIB24","article-title":"Taking advantage of the potentialities of dynamically modified block incomplete factorizations","author":"Magolu","year":"1993"},{"key":"10.1016\/0167-739X(94)00058-M_BIB25","unstructured":"M.M. Magolu, Ordering strategies for modified block incomplete factorizations, SIAM J. Sci. Comput., to appear."},{"key":"10.1016\/0167-739X(94)00058-M_BIB26","unstructured":"M.M. Magolu, Ordering techniques for parallelizable block preconditionings, in preparation."},{"key":"10.1016\/0167-739X(94)00058-M_BIB27","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1016\/0024-3795(91)90395-D","article-title":"On the conditioning analysis of block approximate factorization methods","volume":"154\u2013156","author":"Magolu","year":"1991","journal-title":"Lin. Alg. Appl."},{"key":"10.1016\/0167-739X(94)00058-M_BIB28","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1007\/BF01934919","article-title":"The block preconditioned conjugate gradient method on vector computers","volume":"24","author":"Meurant","year":"1984","journal-title":"BIT"},{"key":"10.1016\/0167-739X(94)00058-M_BIB29","author":"Nakamura","year":"1977"},{"key":"10.1016\/0167-739X(94)00058-M_BIB30","doi-asserted-by":"crossref","first-page":"1174","DOI":"10.1137\/0910071","article-title":"High performance preconditioning","volume":"10","author":"van der Vorst","year":"1989","journal-title":"SIAM J. Sci. Statist. Comput."}],"container-title":["Future Generation Computer Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0167739X9400058M?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0167739X9400058M?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,26]],"date-time":"2019-04-26T10:29:34Z","timestamp":1556274574000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0167739X9400058M"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,3]]},"references-count":30,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1995,3]]}},"alternative-id":["0167739X9400058M"],"URL":"https:\/\/doi.org\/10.1016\/0167-739x(94)00058-m","relation":{},"ISSN":["0167-739X"],"issn-type":[{"value":"0167-739X","type":"print"}],"subject":[],"published":{"date-parts":[[1995,3]]}}}