Analysis Seminar
主講者: 1. Prof. Yoshio Sone (Kyoto University) 2.Prof. Hitoshi Imai (University of Tokushima)
講題: 1. Note on the reformulation of the Boltzmann equation 2. On numerical computation of rank deficit of matrices in multiple precision
時間: 2014-03-17 (Mon.)  10:00 - 13:00
地點: 數學所 722 研討室 (台大院區)
Abstract: 2. The numerical computation of rank deficit of matrices is performed in multiple precision. A simple criterion for determining rank deficit is proposed. Singular value decomposition (SVD) and Gaussian elimination with complete pivoting (GECP) are compared. GECP with equilibration (GECPE) is also considered. These methods are applied to some examples, including an example derived from an inverse problem. Numerical results show that our criterion works well and that although both SVD and GECP also work well, GECPE does not.
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