Name
Abstract | ||
|---|---|---|
When floating point arithmetic is used in numerical computation, cancellation of significant digits, round-off errors and information loss cannot be avoided. In some cases it becomes necessary to use multiple precision arithmetic; however some operations of this arithmetic are difficult to implement within conventional computing environments. In this paper we consider implementation of a quadruple precision arithmetic environment QuPAT (Quadruple Precision Arithmetic Toolbox) using the interactive numerical software package Scilab as a toolbox. Based on Double-Double (DD) arithmetic, QuPAT uses only a combination of double precision arithmetic operations. QuPAT has three main characteristics: (1) the same operator is used for both double and quadruple precision arithmetic; (2) both double and quadruple precision arithmetic can be used at the same time, and also mixed precision arithmetic is available; (3) QuPAT is independent of which hardware and operating systems are used. Finally we show the effectiveness of QuPAT in the case of analyzing a convergence property of the GCR(m) method for a system of linear equations. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/978-3-642-12165-4_5 | ICCSA |
Keywords | Field | DocType |
floating point arithmetic,quadruple precision arithmetic,quadruple precision arithmetic toolbox,quadruple precision arithmetic environment,conventional computing environment,mixed precision arithmetic,interactive numerical software package,double precision arithmetic operation,multiple precision arithmetic,numerical computation,linear equations,operating system,numerical software | Quadruple-precision floating-point format,Floating point,Computer science,Arbitrary-precision arithmetic,Affine arithmetic,Double-precision floating-point format,Arithmetic,Algorithm,Machine epsilon,Saturation arithmetic,Extended precision | Conference |
Volume | ISSN | ISBN |
6017 | 0302-9743 | 3-642-12164-0 |
Citations | PageRank | References |
4 | 1.50 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tsubasa Saito | 1 | 13 | 4.04 |
| Emiko Ishiwata | 2 | 34 | 9.71 |
| Hidehiko Hasegawa | 3 | 27 | 5.83 |