Developing Accuracy Assured High Performance Numerical Libraries for Eigenproblems
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 topics in this year based on the results of year 2:
(i) Topic 1: Establishing high-performance implementation for UNC-HPC libraries,
(ii) Topic 2: Developing accuracy assured libraries for real symmetric eigenproblem,
(iii) Topic 3: Discussing extension to non-linear problems, and
(iv) Topic 4: Prototyping and developing AT.