{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,20]],"date-time":"2025-02-20T05:16:24Z","timestamp":1740028584416,"version":"3.37.3"},"reference-count":0,"publisher":"IOS Press","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"abstract":"<jats:p>The LAPACK routines GEQRT2 and GEQRT3 can be used to compute the QR decomposition of a matrix of size m&amp;times;n as well as the storage-efficient representation of the orthogonal factor. A GPU-accelerated algorithm is presented that expands a blocked CPU-GPU hybrid QR decomposition to compute the triangular matrix T. The storage-efficient representation is used in particular to access blocks of the matrix Q without having to generate all of it. The algorithm is presented in two variants using one and two GPUs, respectively. To avoid redundant computations or communication between devices, a scheme is developed to additionally computeduring the iteration. As a result the algorithm outperforms the standard LAPACK routine by a factor of 3 for square matrices on a single GPU and by a factor of 5 on two GPUs.<\/jats:p>","DOI":"10.3233\/978-1-61499-843-3-329","type":"book-chapter","created":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T15:30:51Z","timestamp":1739979051000},"source":"Crossref","is-referenced-by-count":0,"title":["GPU-Accelerated and Storage-Efficient Implementation of the QR Decomposition"],"prefix":"10.3233","author":[{"family":"Benner Peter","sequence":"additional","affiliation":[]},{"family":"K&ouml;hler Martin","sequence":"additional","affiliation":[]},{"family":"Penke Carolin","sequence":"additional","affiliation":[]}],"member":"7437","container-title":["Advances in Parallel Computing","Parallel Computing is Everywhere"],"original-title":[],"deposited":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T15:38:18Z","timestamp":1739979498000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.medra.org\/servlet\/aliasResolver?alias=iospressISBN&isbn=978-1-61499-842-6&spage=329&doi=10.3233\/978-1-61499-843-3-329"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/978-1-61499-843-3-329","relation":{},"ISSN":["0927-5452"],"issn-type":[{"value":"0927-5452","type":"print"}],"subject":[],"published":{"date-parts":[[2018]]}}}