{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,27]],"date-time":"2026-10-27T18:45:54Z","timestamp":1793126754749,"version":"4.5.0"},"publisher-location":"Berlin, Heidelberg","reference-count":29,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540189916","type":"print"},{"value":"9783540388883","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1988]]},"DOI":"10.1007\/3-540-18991-2_27","type":"book-chapter","created":{"date-parts":[[2012,2,25]],"date-time":"2012-02-25T14:51:44Z","timestamp":1330181504000},"page":"456-474","source":"Crossref","is-referenced-by-count":62,"title":["The LINPACK Benchmark: An explanation"],"prefix":"10.1007","author":[{"given":"Jack J.","family":"Dongarra","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2005,5,27]]},"reference":[{"key":"27_CR1","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1093\/comjnl\/3.1.28","volume":"3","author":"D. W. Barron","year":"1960","unstructured":"D.W. Barron and H.P.F. Swinnerton-Dyer, \u201cSolution of Simultaneous Linear Equations Using a Magnetic-Tape Store,\u201d Computer J., vol. 3, pp. 28\u201333, 1960.","journal-title":"Computer J."},{"key":"27_CR2","doi-asserted-by":"crossref","unstructured":"M. Berry, K. Gallivan, W. Harrod, W. Jalby, S. Lo, U. Meier, B. Philippe, and A. Sameh, \u201cParallel Algorithms on the CEDAR System,\u201d CSRD Report No. 581, 1986.","DOI":"10.1007\/3-540-16811-7_150"},{"key":"27_CR3","doi-asserted-by":"crossref","unstructured":"C. Bischof and C. Van Loan, \u201cThe WY Representation for Products of Householder Matrices,\u201d SIAM SISSC, vol. 8, 2, March, 1987.","DOI":"10.1137\/0908009"},{"key":"27_CR4","unstructured":"I. Bucher and T. Jordan, \u201cLinear Algebra Programs for use on a Vector Computer with a Secondary Solid State Storage Device,\u201d in Advances in Computer Methods for Partical Differential Equations, ed. R. Vichnevetsky and R Stepleman, pp. 546\u2013550, IMACS, 1984."},{"key":"27_CR5","unstructured":"D.A. Calahan, \u201cBlock-Oriented Local-Memory-Based Linear Equation Solution on the CRAY-2: Uniprocessor Algorithms,\u201d Proceedings International Conference on Parallel Processing, pp. 375\u2013378, IEEE Computer Society Press, August 1986."},{"key":"27_CR6","unstructured":"B. Chartres, \u201cAdaption of the Jacobi and Givens Methods for a Computer with Magnetic Tape Backup Store,\u201d University of Sydney Technical Report No. 8, 1960."},{"key":"27_CR7","doi-asserted-by":"crossref","unstructured":"A.K. Dave and I.S. Duff, \u201cSparse Matrix Calculations on the CRAY-2,\u201d AERE Harwell Report CSS 197 (to appear Parallel Computing), 1986.","DOI":"10.1016\/0167-8191(87)90006-8"},{"key":"27_CR8","doi-asserted-by":"crossref","unstructured":"J.J. Dongarra, \u201cPerformance of Various Computers Using Standard Linear Equations Software in a Fortran Environment,\u201d Argonne National Laboratory MCS-TM-23, April, 1987.","DOI":"10.1177\/003754978704900202"},{"key":"27_CR9","volume-title":"LINPACK Users' Guide","author":"J. J. Dongarra","year":"1976","unstructured":"J.J. Dongarra, J. Bunch, C. Moler, and G. Stewart, LINPACK Users' Guide, SIAM Pub., Philadelphia, 1976."},{"key":"27_CR10","doi-asserted-by":"crossref","unstructured":"J.J. Dongarra, J. DuCroz, I. Duff, and S. Hammarling, \u201cA Proposal for a Set of Level 3 Basic Linear Algebra Subprograms,\u201d Argonne National Laboratory Report, ANL-MCS-TM-88, April 1987.","DOI":"10.1145\/36318.36319"},{"key":"27_CR11","unstructured":"J.J. Dongarra, J. DuCroz, S. Hammarling, and R. Hanson, \u201cAn Extended Set of Fortran Basic Linear Algebra Subprograms,\u201d Argonne National Laboratory Report, ANL-MCS-TM-41 (Revision 3), November 1986."},{"key":"27_CR12","unstructured":"J.J. Dongarra, J. DuCroz, S. Hammarling, and R. Hanson, \u201cAn Extended Set of Basic Linear Algebra Subprograms: Model Implementation and Test Programs,\u201d Argonne National Laboratory Report, ANL-MCS-TM-81, November, 1986."},{"key":"27_CR13","unstructured":"J.J. Dongarra and I.S. Duff, \u201cAdvanced Architecture Computers,\u201d Argonne National Laboratory Report, ANL-MCS-TM-57 (Revision 1), January, 1987."},{"issue":"3","key":"27_CR14","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1145\/1271.319413","volume":"10","author":"J. J. Dongarra","year":"1984","unstructured":"J.J. Dongarra and S. C. Eisenstat, \u201cSqueezing the Most out of an Algorithm in Cray Fortran,\u201d ACM Trans. Math. Software, vol. 10, 3, pp. 221\u2013230, 1984.","journal-title":"ACM Trans. Math. Software"},{"issue":"1","key":"27_CR15","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1137\/1026003","volume":"26","author":"J. J. Dongarra","year":"1984","unstructured":"J.J. Dongarra, F. Gustavson, and A. Karp, \u201cImplementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline Machine,\u201d SIAM Review, vol. 26, 1, pp. 91\u2013112, Jan. 1984.","journal-title":"SIAM Review"},{"issue":"1","key":"27_CR16","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1137\/0907023","volume":"7","author":"J. J. Dongarra","year":"1986","unstructured":"J.J. Dongarra and T. Hewitt, \u201cImplementing Dense Linear Algebra Algorithms Using Multitasking on the CRAY X-MP-4,\u201d SIAM J. Sci Stat. Comp., vol. 7, 1, pp. 347\u2013350, January, 1986.","journal-title":"SIAM J. Sci Stat. Comp."},{"key":"27_CR17","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1002\/spe.4380090307","volume":"9","author":"J. J. Dongarra","year":"1979","unstructured":"J.J. Dongarra and A. Hinds, \u201cUnrolling Loops in Fortran,\u201d Software-Practice and Experience, vol. 9, pp. 219\u2013226, 1979.","journal-title":"Software-Practice and Experience"},{"key":"27_CR18","unstructured":"J.J. Dongarra and D.C. Sorensen, \u201cLinear Algebra on High-Performance Computers,\u201d in Proceedings Parallel Computing 85, ed. U. Schendel, pp. 3\u201332, North Holland, 1986."},{"issue":"4","key":"27_CR19","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1145\/355972.355980","volume":"7","author":"J. DuCroz","year":"1981","unstructured":"J. DuCroz, S. Nugent, J. Reid, and D. Taylor, \u201cSolving Large Full Sets of Linear Equations in a Paged Virtual Store,\u201d TOMS, vol. 7,4, pp. 527\u2013536, 1981.","journal-title":"TOMS"},{"key":"27_CR20","series-title":"Lecture Notes in Mathematics","first-page":"71","volume-title":"Full Matrix Techniques in Sparse Gaussian Elimination","author":"I. S. Duff","year":"1981","unstructured":"I.S. Duff, \u201cFull Matrix Techniques in Sparse Gaussian Elimination,\u201d Numerical Analysis Proceedings, Dundee 1981, Lecture Notes in Mathematics 912, pp. 71\u201384, Springer-Verlag, Berlin, 1981."},{"key":"27_CR21","first-page":"882","volume":"6","author":"A. George","year":"1985","unstructured":"A. George and H. Rashwan, \u201cAuxiliary Storage Methods for Solving Finite Element Systems,\u201d SIAM SISSC, vol. 6, pp. 882\u2013910, 1985.","journal-title":"SIAM SISSC"},{"key":"27_CR22","volume-title":"Parallel Computers","author":"R. W. Hockney","year":"1981","unstructured":"R.W. Hockney and C.R. Jesshope, Parallel Computers, p. Adam Hilger Ltd, Bristol, 1981."},{"key":"27_CR23","unstructured":"IBM, \u201cEngineering and Scientific Subroutine Library,\u201d IBM, vol. Program Number: 5668-863, 1986."},{"key":"27_CR24","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1002\/spe.4380010203","volume":"1","author":"D. Knuth","year":"1971","unstructured":"D. Knuth, \u201cAn Empirical Study of Fortran Programs,\u201d Software-Practice and Experience, vol. 1, pp. 105\u2013133, 1971.","journal-title":"Software-Practice and Experience"},{"key":"27_CR25","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1145\/355841.355847","volume":"5","author":"C. Lawson","year":"1979","unstructured":"C. Lawson, R. Hanson, D. Kincaid, and F. Krogh, \u201cBasic Linear Algebra Subprograms for Fortran Usage,\u201d ACM Transactions on Mathematical Software, vol. 5, pp. 308\u2013323, 1979.","journal-title":"ACM Transactions on Mathematical Software"},{"issue":"3","key":"27_CR26","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1145\/362875.362879","volume":"12","author":"A. C. McKellar","year":"1969","unstructured":"A.C. McKellar and E.G. Coffman Jr., \u201cOrganizing Matrices and Matrix Operations for Paged Memory Systems,\u201d CACM, vol. 12,3, pp. 153\u2013165, 1969.","journal-title":"CACM"},{"key":"27_CR27","doi-asserted-by":"crossref","unstructured":"D. Pager, \u201cSome Notes on Speeding Up Certain Loops by Software, Firmware, and Hardware Means,\u201d IEEE Trans. on Comp., pp. 97\u2013100, January 1972.","DOI":"10.1109\/T-C.1972.223438"},{"key":"27_CR28","unstructured":"Y. Robert and P. Sguazzero, \u201cThe LU Decomposition Algorithm and Its Efficient Fortran Implementation on the IBM 3090 Vector Multiprocessor,\u201d IBM ECSEC Report ICE-0006, March 1987."},{"key":"27_CR29","unstructured":"R. Schreiber, \u201cEngineering and Scientific Subroutine Library, Module Design Specification,\u201d SAXPY Computer Corporation, 255 San Geronimo Way, Sunnyvale, CA 94086, vol. 1, 1986."}],"container-title":["Lecture Notes in Computer Science","Supercomputing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-18991-2_27.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,30]],"date-time":"2021-12-30T21:18:38Z","timestamp":1640899118000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-18991-2_27"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1988]]},"ISBN":["9783540189916","9783540388883"],"references-count":29,"URL":"https:\/\/doi.org\/10.1007\/3-540-18991-2_27","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[1988]]}}}