Design and implementation of multiple-precision arithmetic environment in MATLAB for reliable numerical computations

In the present study a new multiple-precision arithmetic environment in MATLAB is developed based on exflib, a fast multiple-precision arithmetic in the programming language C, C++ and FORTRAN. We discuss design and implementation of interface between MATLAB and exflib without any modifications to exflib. Although the proposed design incurs the overhead in execution, it is more accurate and faster than Variable Precision Arithmetic (VPA), which is the official multiple-precision arithmetic environment in MATLAB. We also exhibit an efficiency of the proposed environment for reliable computation to overcome the difficulties caused by rounding errors.