{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T14:52:41Z","timestamp":1725634361175},"publisher-location":"Berlin, Heidelberg","reference-count":42,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540527923"},{"type":"electronic","value":"9783642758331"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1990]]},"DOI":"10.1007\/978-3-642-75833-1_13","type":"book-chapter","created":{"date-parts":[[2011,11,16]],"date-time":"2011-11-16T20:22:30Z","timestamp":1321474950000},"page":"167-182","source":"Crossref","is-referenced-by-count":2,"title":["Fundamental Linear Algebra Computations on High-Performance Computers"],"prefix":"10.1007","author":[{"given":"Christian H.","family":"Bischof","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"13_CR1","doi-asserted-by":"crossref","unstructured":"Edward Anderson and Jack Dongarra. Installing and testing the initial release of LAPACK \u2014 Unix and non-Unix versions. Technical Report MCS-TM-130, Argonne National Laboratory, Mathematics and Computer Sciences Division, May 1989.","DOI":"10.2172\/5970270"},{"key":"13_CR2","unstructured":"Zhajoun Bai and Jim Demmel. LAPACK working note #8: On a block implementation of Hessenberg multishift QR iteration. Technical Report ANL-MCS-TM-127, Argonne National Laboratory, Mathematics and Computer Sciences Division, 1989."},{"key":"13_CR3","doi-asserted-by":"crossref","unstructured":"Michael Berry, Kyle Gallivan, William Harrod, William Jalby, Sy-Shin Lo, Ulrike Meier, Bernard Philippe, and Ahmed Sameh. Parallel algorithms on the Cedar system. In W.H\u00e4ndler, editor, Proceedings of CONPAR 86, pages 25\u201339. Springer-Verlag, Berlin, 1986.","DOI":"10.1007\/3-540-16811-7_150"},{"key":"13_CR4","unstructured":"Christian Bischof, James Demmel, Jack Dongarra, Jeremy Du Croz, Anne Greenbaum, Sven Hammarling, and Danny Sorensen. LAPACK Working Note #5: Provisional Contents. Technical Report ANL-88-38, Argonne National Laboratory, Mathematics and Computer Sciences Division, September 1988."},{"key":"13_CR5","unstructured":"Christian H. Bischof. Aparallel QR factorization algorithm with controlled local pivoting. Technical Report ANL\/MCS-P21-1088, Argonne National Laboratory, Mathematics and Computer Sciences Division, 1988."},{"issue":"3","key":"13_CR6","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1007\/BF00127828","volume":"3","author":"HB Christian","year":"1989","unstructured":"Christian H. Bischof. Adaptive blocking in the QR factorization. The Journal of Supercomputing, 3(3):193\u2013208, 1989.","journal-title":"The Journal of Supercomputing"},{"key":"13_CR7","doi-asserted-by":"crossref","unstructured":"Christian H. Bischof. A block QR factorization algorithm using restricted pivoting. In Proceedings SUPERCOMPUTING \u201989, pages 248\u2013256, Baltimore, MD, 1989. ACM Press.","DOI":"10.1145\/76263.76290"},{"key":"13_CR8","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1016\/0167-8191(89)90027-6","volume":"11","author":"HB Christian","year":"1989","unstructured":"Christian H. Bischof. Computing the singular value decomposition on a distributed system of vector processors. Parallel Computing, 11:171\u2013186, 1989.","journal-title":"Parallel Computing"},{"key":"13_CR9","unstructured":"Christian H. Bischof and Philippe G. Lacroute. An adaptive blocking strategy for matrix factorizations. In preparation."},{"key":"13_CR10","doi-asserted-by":"crossref","unstructured":"Christian H. Bischof and Charles F. Van Loan. The WY representation for products of Householder matrices. SIAM Journal on Scientific and Statistical Computing, 8:s2-sl3, 1987.","DOI":"10.1137\/0908009"},{"key":"13_CR11","doi-asserted-by":"crossref","unstructured":"Orlie Brewer, Jack Dongarra, and Danny Sorensen. Tools to aid in the analysis of memory access patterns for Fortran programs. Technical Report LAPACK working note #6, Argonne National Laboratory, Mathematics and Computer Sciences Division, June 1988.","DOI":"10.1016\/0167-8191(88)90016-6"},{"key":"13_CR12","unstructured":"David Callahan. Block-oriented local-memory-based linear equation solution on the Cray-2: Uniprocessor algorithms. In Proceedings International Conference on Parallel Processing. EEEE Computer Science Press, August 1986."},{"key":"13_CR13","unstructured":"Steven Carr and Ken Kennedy. Blocking linear algebra codes for memory hierarchies. In Proceedings of the Fourth SIAM Conference on Parallel Processing for Scientific Computing. SIAM, Philadelphia, 1990. to appear."},{"key":"13_CR14","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/0167-8191(87)90006-8","volume":"5","author":"AK Dave","year":"1987","unstructured":"A.K. Dave and I. S. Duff. Sparse matrix calculations on the CRAY-2. Parallel Computing, 5:55\u201364, July 1987.","journal-title":"Parallel Computing"},{"key":"13_CR15","unstructured":"P. Deift, J. Demmel, L.-C. Li, and C. Tomei. The bidiagonal singular value decomposition. Technical Report MCS-TM-133, Argonne National Laboratory, Mathematics and Computer Sciences Division, August 1989."},{"key":"13_CR16","unstructured":"James Demmel and W. Kahan. Computing small singular values of bidiagonal matrices with guaranteed high accuracy. Technical Report MCS-TM-110, Argonne National Laboratory, Mathematics and Computer Sciences Division, February 1989."},{"key":"13_CR17","doi-asserted-by":"crossref","unstructured":"J. Dongarra, J. R. Bunch, C. B. Moler, and G. W. Stewart. UNPACK Users\u2019Guide. SIAM Press, 1979.","DOI":"10.1137\/1.9781611971811"},{"key":"13_CR18","doi-asserted-by":"crossref","unstructured":"Jack Dongarra, Jeremy Du Croz, Iain Duff, and Sven Hammarling. A set of level 3 basic linear algebra subprograms. Technical Report MCS-P1-0888, Argonne National Laboratory, Mathematics and Computer Sciences Division, August 1988.","DOI":"10.1145\/36318.36319"},{"key":"13_CR19","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1016\/0167-8191(87)90016-0","volume":"5","author":"D Jack","year":"1987","unstructured":"Jack Dongarra and Danny Sorensen. A portable environment for developing parallel programs. Parallel Computing, 5(1&2):175\u2013186, 1987.","journal-title":"Parallel Computing"},{"key":"13_CR20","unstructured":"Jack J. Dongarra, Orlie Brewer, Samuel Fineberg, and James Arthur Kohl. A tool to aid in the design, implementation, and understanding of matrix algorithms for parallel processors. Technical Report CS-89-91, Computer Science Department, The University of Tennessee, 1989."},{"issue":"1","key":"13_CR21","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/42288.42291","volume":"14","author":"JD Jack","year":"1988","unstructured":"Jack J. Dongarra, Jeremy Du Croz, Sven Hammarling, and Richard J. Hanson. An extended set of Fortran basic linear algebra subprograms. ACM Transactions on Mathematical Software, 14(1):1\u201317, 1988.","journal-title":"ACM Transactions on Mathematical Software"},{"key":"13_CR22","unstructured":"Jack J. Dongarra and Iain S. Duff. Advanced computer architectures. Technical Report ANL-MCS-TM57, Argonne National Laboratory, Mathematics and Computer Sciences Division, 1987. Revision 1."},{"key":"13_CR23","unstructured":"Jack J. Dongarra, Sven J. Hammarling, and Danny C. Sorensen. Block reduction of matrices to condensed form for eigenvalue computations. Technical Report ANL-MCS-TM99, Argonne National Laboratory, Mathematics and Computer Sciences Division, September 1987."},{"key":"13_CR24","doi-asserted-by":"crossref","unstructured":"Jack J. Dongarra and Danny C. Sorensen. Linear algebra on high-performance computers. In Udo Schendel, editor, High-Performance Computers 85, pages 3\u201332, Amsterdam, 1986. North-Holland.","DOI":"10.1016\/0096-3003(86)90126-8"},{"key":"13_CR25","unstructured":"Augustin Dubrulle. On the optimum blocking parameter in the block solution of triangular linear systems. Technical Report G320-3526, IBM Palo Alto Scientific Center, May 1989."},{"key":"13_CR26","unstructured":"Kyle Gallivan, William Jalby, Ulrike Meier, and Ahmed Sameh. The impact of hierarchical memory systems on linear algebra algorithm design. Technical Report 625, University of Illinois at Urbana-Champaign, Center for Supercomputing Research and Development, September 1987."},{"issue":"1","key":"13_CR27","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1137\/1032002","volume":"32","author":"G Kyle","year":"1990","unstructured":"Kyle Gallivan, Robert Plemmons, and Ahmed Sameh. Parallel algorithms for dense linear algebra computations. SIAM Review, 32(1):54\u2013135, 1990.","journal-title":"SIAM Review"},{"key":"13_CR28","doi-asserted-by":"crossref","unstructured":"B. Garbow, J. Boyle, J. Dongarra, and C. Moler. Matrix Eigensystem Routines \u2014 EISPACK Guide Extension, volume 51 of Lecture Notes in Computer Science. Springer-Verlag, New York, 1977.","DOI":"10.1007\/3-540-08254-9"},{"key":"13_CR29","unstructured":"George A. Geist and Michael T. Heath. Parallel Cholesky factorization on a hypercube multiprocessor.Technical Report ORNL-6190, Oak Ridge National Laboratory, Engineering Physics and Mathematics Division, 1985."},{"key":"13_CR30","unstructured":"Gene H. Golub and Charles F. Van Loan. Matrix Computations. The Johns Hopkins Press, Baltimore, Maryland, 2nd edition, 1989."},{"key":"13_CR31","unstructured":"Kai Hwang and Fay\u00e9 A. Briggs. Computer Architecture and Parallel Processing. McGraw-Hill, New York, 1984."},{"key":"13_CR32","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1016\/0024-3795(86)90169-2","volume":"77","author":"I Ilse","year":"1986","unstructured":"Ilse Ipsen, Youcef Saad, and Martin Schultz. Dense linear systems on a ring of processors. Linear Algebra and Its Applications, 77:205\u2013239, 1986.","journal-title":"Linear Algebra and Its Applications"},{"key":"13_CR33","unstructured":"Bo Kagstrom and Charles Van Loan. GEMM-based level-3 BLAS, December 1989."},{"issue":"3","key":"13_CR34","doi-asserted-by":"publisher","first-page":"308","DOI":"10.1145\/355841.355847","volume":"5","author":"CL Lawson","year":"1979","unstructured":"C. L. Lawson, R. J. Hanson, R. J. Kincaid, and F. T. Krogh. Basic linear algebra subprograms for Fortran usage. ACM Transactions on Mathematical Software, 5(3):308\u2013323, September 1979.","journal-title":"ACM Transactions on Mathematical Software"},{"issue":"3","key":"13_CR35","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1137\/0909032","volume":"9","author":"L Guangye","year":"1988","unstructured":"Guangye Li and Thomas F. Coleman. A parallel triangular solver for a hypercube multiprocessor. SIAM Journal on Scientific and Statistical Computing, 9(3):485\u2013502, 1988.","journal-title":"SIAM Journal on Scientific and Statistical Computing"},{"key":"13_CR36","unstructured":"Peter Mayes and Guiseppe Radicati di Brozolo. Banded Cholesky factorization using level 3 blas. Technical Report MCS-TM-134, Argonne National Laboratory, Mathematics and Computer Sciences Division, August 1989."},{"key":"13_CR37","unstructured":"Cleve Moler. Matrix computation on distributed memory multiprocessors. In Michael T. Heath, editor, Hypercube Multiprocessors 1986, Philadelphia, 1986. SIAM Press."},{"key":"13_CR38","doi-asserted-by":"crossref","unstructured":"Robert Schreiber. Block Algorithms for Parallel Machines, pages 197\u2013207. Number 13 in IMA Volumes in Mathematics and its Applications. Springer-Verlag, Berlin, 1988.","DOI":"10.1007\/978-1-4684-6357-6_12"},{"key":"13_CR39","unstructured":"Robert Schreiber and Jack Dongarra. Automatic blocking of nested loops. on preparation."},{"issue":"l","key":"13_CR40","first-page":"53","volume":"10","author":"S Robert","year":"1989","unstructured":"Robert Schreiber and Charles Van Loan. A storage efficient WY representation for products of Householder transformations. SIAM Journal on Scientific and Statistical Computing, 10(l):53\u201357, 1989.","journal-title":"SIAM Journal on Scientific and Statistical Computing"},{"key":"13_CR41","doi-asserted-by":"crossref","DOI":"10.1007\/3-540-07546-1","volume-title":"Matrix Eigensystem Routines \u2014 EISPACK Guide","author":"B Smith","year":"1976","unstructured":"B. Smith, J. Boyle, J. Dongarra, B. Garbow, Y. Ikebe, V. Klema, and C. B. Moler. Matrix Eigensystem Routines \u2014 EISPACK Guide. Springer-Verlag, New York, second edition, 1976.","edition":"2"},{"key":"13_CR42","unstructured":"Harold Stone. High-Performance Computer Architecture. Addison-Wesley, Reading, Massachusetts, 1987."}],"container-title":["Informatik-Fachberichte","Supercomputer \u201990"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-75833-1_13.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,16]],"date-time":"2021-12-16T20:36:11Z","timestamp":1639686971000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-75833-1_13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990]]},"ISBN":["9783540527923","9783642758331"],"references-count":42,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-75833-1_13","relation":{},"ISSN":["0343-3005"],"issn-type":[{"type":"print","value":"0343-3005"}],"subject":[],"published":{"date-parts":[[1990]]}}}