Accurate and High Performance Computational Methods for Numerical Linear Algebra

2016 Fiscal Year Final Research Report

• Project/Area Number: 25730076
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: High performance computing
• Research Institution: Shibaura Institute of Technology
• Principal Investigator: Ozaki Katsuhisa 芝浦工業大学, システム理工学部, 准教授 (90434282)
• Project Period (FY): 2013-04-01 – 2017-03-31
• Keywords: 誤差解析 / ハイパフォーマンスコンピューティング / 数値解析

Outline of Final Research Achievements

Floating-point arithmetic is widely used for scientific computing. Because information of binary floating-point numbers is finite, rounding error may occur. If rounding errors accumulate, then an inaccurate result may be obtained. If a problem is large scale, then the problem of rounding errors will be more serious. We proposed accurate and high performance computational methods for numerical linear algebra, especially, matrix multiplication, LU decomposition, and Cholesky decomposition.

Free Research Field

数値解析