TY - JOUR
T1 - A Piecewise Modified Matrix Padé-type Approximation of Hybrid Order in the Interval [0, 1]
AU - Beibei Wu
JO - Journal of Information and Computing Science
VL - 4
SP - 314
EP - 320
PY - 2024
DA - 2024/01
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22706.html
KW -  matrix Padé-type approximation, piecewise interpolation, matrix exponential.  

AB -  In  this  paper,  we  introduce  a  piecewise  modified  matrix  Padé-type  approximation  of  hybrid 
order  in  the  interval  [0,  1].  It  yields  highly  accurate  results  and  exact  values  at  some  given  points.  The 
accuracy of this approximation increases as the order or the node increases. This method can be applied to 
approximate the exponential function. The explicit formula for computing the matrix exponential is presented. 
A numerical example is given to illustrate the effectiveness of this method.