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jh190015-NAJ Developing Accuracy Assured High Performance Numerical Libraries for Eigenproblems
課題代表者 片桐孝洋(名古屋大学) /
Takahiro Katagiri(Nagoya University)
概要 Eigenproblem is one of essential numerical problems for several numerical simulations. Its accuracy, however, is not well-assured in many conventional numerical computations. Basic Linear Algebra Subprograms (BLAS) is a frequently used to perform linear algebra computations. Ensuring the accuracy of the computational results of BLAS operations is a still crucial problem now. Even in solving linear equations using LAPACK is also a typical example, because LAPACK is rich in BLAS operations, especially matrix-matrix multiplication (MMM) operations for solving linear equations.
With respect to this background, we focus on the following three topics:
(1) Developing an accuracy assured numerical libraries for eigenproblems;
(2) Development of high-performance implementation and auto-tuning (AT) technology for the developed accuracy assured numerical libraries;
(3) Discussing an extension for non-liner problems based on obtained knowledge of accuracy assured algorithms.
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JHPCN : Japan High Performance Computing and Networking plus Large-scale Data Analyzing and Information Systems
Update:2018.4.1