RISC RISC Research Institute for Symbolic Computation  
  • @article{RISC2392,
    author = {R. Pirastu and K. Siegl},
    title = {{Parallel Computation and Indefinite Summation: A MAPLE Application for the Rational Case}},
    language = {english},
    abstract = {The problem of computing a {\em closed form} for sum expressions of special functions arises in many parts of mathematics and computer science, especially in combinatorics and complexity analysis. Here we discuss two algorithms for indefinite summation of rational functions, due to Abramow and Paule. We describe some improvements and a parallel implementation on a workstation network of SGI machines in \pmaple\ (speak: parallel Maple). Our best implementation achieves a speedup up to eight with respect to the fastest available sequential implementation. Finally, further applications of parallel computing in this field are outlined.},
    journal = {J. Symbolic Comput.},
    volume = {20},
    pages = {603--616},
    isbn_issn = {ISSN 0747-7171},
    year = {1995},
    refereed = {yes},
    length = {14}