Finding Enclosures for Linear Systems Using Interval Matrix Multiplication in CUDA

نویسندگان

  • Alexander Dallmann
  • Philip-Daniel Beck
  • Jürgen Wolff von Gudenberg
چکیده

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.

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تاریخ انتشار 2013