%0 Book Section %1 noKey %A Dallmann, Alexander %A Beck, Philip-Daniel %A von Gudenberg, JürgenWolff %B Parallel Processing and Applied Mathematics %D 2014 %E Wyrzykowski, Roman %E Dongarra, Jack %E Karczewski, Konrad %E Waśniewski, Jerzy %I Springer Berlin Heidelberg %K cuda enclosures from:dallmann linear_systems myown %P 582-590 %R 10.1007/978-3-642-55195-6_55 %T Finding Enclosures for Linear Systems Using Interval Matrix Multiplication in CUDA %U http://dx.doi.org/10.1007/978-3-642-55195-6_55 %V 8385 %X In this paper we present CUDA kernels that compute an interval matrix product. Starting from a naive implementation we investigate possible speedups using commonly known techniques from standard matrix multiplication. We also evaluate the achieved speedup when our kernels are used to accelerate a variant of an existing algorithm that finds an enclosure for the solution of a linear system. Moreover the quality of our enclosure is discussed. %@ 978-3-642-55194-9

@incollection{noKey, abstract = {In this paper we present CUDA kernels that compute an interval matrix product. Starting from a naive implementation we investigate possible speedups using commonly known techniques from standard matrix multiplication. We also evaluate the achieved speedup when our kernels are used to accelerate a variant of an existing algorithm that finds an enclosure for the solution of a linear system. Moreover the quality of our enclosure is discussed.}, added-at = {2016-11-04T03:10:05.000+0100}, author = {Dallmann, Alexander and Beck, Philip-Daniel and von Gudenberg, JürgenWolff}, biburl = {https://www.bibsonomy.org/bibtex/248e8ffa701bf1fa52475f779f0f2e700/dmir}, booktitle = {Parallel Processing and Applied Mathematics}, description = {Finding Enclosures for Linear Systems Using Interval Matrix Multiplication in CUDA - Springer}, doi = {10.1007/978-3-642-55195-6_55}, editor = {Wyrzykowski, Roman and Dongarra, Jack and Karczewski, Konrad and Waśniewski, Jerzy}, interhash = {eb00db33535254ae6cc32872eb3f8ed2}, intrahash = {48e8ffa701bf1fa52475f779f0f2e700}, isbn = {978-3-642-55194-9}, keywords = {cuda enclosures from:dallmann linear_systems myown}, language = {English}, pages = {582-590}, publisher = {Springer Berlin Heidelberg}, series = {Lecture Notes in Computer Science}, timestamp = {2024-01-18T10:31:52.000+0100}, title = {Finding Enclosures for Linear Systems Using Interval Matrix Multiplication in CUDA}, url = {http://dx.doi.org/10.1007/978-3-642-55195-6_55}, volume = 8385, year = 2014 }