{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T06:41:56Z","timestamp":1649054516486},"reference-count":28,"publisher":"Elsevier BV","issue":"7","license":[{"start":{"date-parts":[[1994,7,1]],"date-time":"1994-07-01T00:00:00Z","timestamp":773020800000},"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":["Parallel Computing"],"published-print":{"date-parts":[[1994,7]]},"DOI":"10.1016\/0167-8191(94)90011-6","type":"journal-article","created":{"date-parts":[[2003,9,3]],"date-time":"2003-09-03T17:52:02Z","timestamp":1062611522000},"page":"919-951","source":"Crossref","is-referenced-by-count":7,"title":["Multiplication of matrices of arbitrary shape on a data parallel computer"],"prefix":"10.1016","volume":"20","author":[{"given":"Kapil K","family":"Mathur","sequence":"first","affiliation":[]},{"given":"S","family":"Lennart Johnsson","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"3","key":"10.1016\/0167-8191(94)90011-6_BIB1","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1177\/109434209200600303","article-title":"All-to-all broadcast with applications on the Connection Machine","volume":"6","author":"Brunet","year":"1992","journal-title":"Int. J. Supercomput. Appl."},{"key":"10.1016\/0167-8191(94)90011-6_BIB2","article-title":"A cellular computer to implement the Kalman filter algorithm","author":"Cannon","year":"1969"},{"issue":"5","key":"10.1016\/0167-8191(94)90011-6_BIB3","doi-asserted-by":"crossref","first-page":"834","DOI":"10.1137\/0220052","article-title":"Embedding of grids into optimal hypercubes","volume":"20","author":"Chan","year":"1991","journal-title":"SIAM J. Comput."},{"key":"10.1016\/0167-8191(94)90011-6_BIB4","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1137\/0210049","article-title":"Parallel matrix and graph algorithms","volume":"10","author":"Dekel","year":"1981","journal-title":"SIAM J. Comput."},{"key":"10.1016\/0167-8191(94)90011-6_BIB5","article-title":"A set of level 3 basic linear algebra subprograms","author":"Dongarra","year":"1988"},{"key":"10.1016\/0167-8191(94)90011-6_BIB6","article-title":"A set of level 3 basic linear algebra subprograms: MOdel implementation and test programs","author":"Dongarra","year":"1988"},{"key":"10.1016\/0167-8191(94)90011-6_BIB7","article-title":"Optimal communication algorithms on the hypercube","author":"Fox","year":"1986"},{"key":"10.1016\/0167-8191(94)90011-6_BIB8","series-title":"Solving Problems on Concurrent Processors","author":"Fox","year":"1988"},{"key":"10.1016\/0167-8191(94)90011-6_BIB9","doi-asserted-by":"crossref","first-page":"338","DOI":"10.21136\/CMJ.1972.101102","article-title":"B-valuations of graphs","volume":"22","author":"Havel","year":"1972","journal-title":"Czech Math. J."},{"issue":"4","key":"10.1016\/0167-8191(94)90011-6_BIB10","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1016\/0743-7315(90)90131-8","article-title":"Embedding meshes in Boolean cubes graph decomposition","volume":"8","author":"Ho","year":"1990","journal-title":"J. Parallel Distributed Comput."},{"key":"10.1016\/0167-8191(94)90011-6_BIB11","series-title":"Sixth Distributed Memory Computing Conf.","first-page":"447","article-title":"Matrix multiplication on hypercubes using full bandwidth and constant storage","author":"Ho","year":"1991"},{"issue":"2","key":"10.1016\/0167-8191(94)90011-6_BIB12","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/0743-7315(87)90002-5","article-title":"Communication efficient basic linear algebra computations on hypercube architectures","volume":"4","author":"Lennart Johnsson","year":"1987","journal-title":"J. Parallel Distributed Comput."},{"key":"10.1016\/0167-8191(94)90011-6_BIB13","article-title":"Algorithms for multiplying matrices of arbitrary shapes using shared memory primitives on a Boolean cube","author":"Lennart Johnsson","year":"1987"},{"issue":"9","key":"10.1016\/0167-8191(94)90011-6_BIB14","doi-asserted-by":"crossref","first-page":"1249","DOI":"10.1109\/12.29465","article-title":"Spanning graphs for optimum broadcasting and personalized communication in hypercubes","volume":"38","author":"Lennart Johnsson","year":"1989","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/0167-8191(94)90011-6_BIB15","series-title":"Sixth Distributed Memory Computing Conf.","first-page":"299","article-title":"Maximizing channel utilization for all-to-all personalized communication on Boolean cubes","author":"Lennart Johnsson","year":"1991"},{"issue":"1","key":"10.1016\/0167-8191(94)90011-6_BIB16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0743-7315(92)90039-P","article-title":"Generalized shuffle permutations on Boolean cubes","volume":"16","author":"Lennart Johnsson","year":"1992","journal-title":"J. Parallel Distributed Comput."},{"key":"10.1016\/0167-8191(94)90011-6_BIB17","unstructured":"S. Lennart Johnsson and K.K. mathur, Distributed BLAS, Technical report, Thinking Machines Corp., in preparation."},{"issue":"4","key":"10.1016\/0167-8191(94)90011-6_BIB18","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1177\/109434209200600403","article-title":"Local Basic Linear Algebra Subroutines (LBLAS) for distributed memory architectures and languages with an array syntax","volume":"6","author":"Lennart Johnsson","year":"1992","journal-title":"Int. J. Supercomput. Appl."},{"issue":"3","key":"10.1016\/0167-8191(94)90011-6_BIB19","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1145\/355841.355847","article-title":"Basic linear algebra subprograms for Fortran usage","volume":"5","author":"Lawson","year":"1979","journal-title":"ACM TOMS"},{"key":"10.1016\/0167-8191(94)90011-6_BIB20","article-title":"Matrix multiplication on a three-dimensional array","author":"Mathur","year":"1991"},{"key":"10.1016\/0167-8191(94)90011-6_BIB21","series-title":"6th SIAM Conf. on Parallel Processing for Scientific Computing","article-title":"All-to-all communication algorithms for distributed BLAS","author":"Mathur","year":"1993"},{"issue":"4","key":"10.1016\/0167-8191(94)90011-6_BIB22","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1109\/TC.1982.1676004","article-title":"Optimal BPC permutations on a cube connected SIMD computer","volume":"C-31","author":"Nassimi","year":"1992","journal-title":"IEEE Trans. Comput."},{"key":"10.1016\/0167-8191(94)90011-6_BIB23","series-title":"Combinatorial Algorithms","author":"Reingold","year":"1977"},{"key":"10.1016\/0167-8191(94)90011-6_BIB24","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1137\/0204038","article-title":"Preserving proximity in arrays","volume":"4","author":"Rosenberg","year":"1975","journal-title":"SIAM J. Comput."},{"key":"10.1016\/0167-8191(94)90011-6_BIB25","series-title":"Hypercube Multiprocessors 1987","article-title":"Passing messages in link-bound hypercubes","author":"Stout","year":"1987"},{"key":"10.1016\/0167-8191(94)90011-6_BIB26","series-title":"CMSSL for Fortran","author":"Thinking Machines Corp","year":"1990"},{"key":"10.1016\/0167-8191(94)90011-6_BIB27","series-title":"CM Fortran Optimization Notes: Slicewise Model Version","author":"Thinking Machines Corp","year":"1991"},{"key":"10.1016\/0167-8191(94)90011-6_BIB28","series-title":"Scientific Applications of the Connection Machine","first-page":"174","article-title":"Parallel matrix multiplication on the Connection Machine","author":"Tichy","year":"1989"}],"container-title":["Parallel Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0167819194900116?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0167819194900116?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,6,10]],"date-time":"2021-06-10T14:20:52Z","timestamp":1623334852000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0167819194900116"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,7]]},"references-count":28,"journal-issue":{"issue":"7","published-print":{"date-parts":[[1994,7]]}},"alternative-id":["0167819194900116"],"URL":"https:\/\/doi.org\/10.1016\/0167-8191(94)90011-6","relation":{},"ISSN":["0167-8191"],"issn-type":[{"value":"0167-8191","type":"print"}],"subject":[],"published":{"date-parts":[[1994,7]]}}}