Development and acceleration of multiple precision arithmetic toolbox MuPAT for Scilab
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- Kikkawa Satoko
- Graduate School of Science, Tokyo University of Science
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- Saito Tsubasa
- Graduate School of Science, Tokyo University of Science
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- Ishiwata Emiko
- Tokyo University of Science
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- Hasegawa Hidehiko
- University of Tsukuba
Abstract
MuPAT enables the users to easily treat quadruple and octuple precision arithmetics as well as double precision arithmetic on Scilab. Using external C routines, we have also developed a high speed implementation MuPAT_c for Windows, Mac OS, and Linux. MuPAT_c reduced the computation time especially for all octuple precision arithmetic and inner product of quadruple precision arithmetic. MuPAT_c can run 90-1200 times faster than MuPAT. We applied three different precisions to tridiagonalization by the Lanczos method and confirmed that a high precision arithmetic was essential for the Lanczos method to get accurate eigenvalues of real symmetric matrices.
Journal
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- JSIAM Letters
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JSIAM Letters 5 (0), 9-12, 2013
The Japan Society for Industrial and Applied Mathematics
