採択課題 【詳細】
| jh190015-NAJ | Developing Accuracy Assured High Performance Numerical Libraries for Eigenproblems |
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| 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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