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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Accurate and efficient evaluation of Schur and Jack functions
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by James Demmel and Plamen Koev PDF
Math. Comp. 75 (2006), 223-239 Request permission

Abstract:

We present new algorithms for computing the values of the Schur $s_\lambda (x_1,x_2,\ldots ,x_n)$ and Jack $J_\lambda ^\alpha (x_1,x_2,\ldots ,x_n)$ functions in floating point arithmetic. These algorithms deliver guaranteed high relative accuracy for positive data ($x_i, \alpha >0$) and run in time that is only linear in $n$.
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Additional Information
  • James Demmel
  • Affiliation: Department of Mathematics and Computer Science Division, University of California, Berkeley, California 94720
  • Email: demmel@eecs.berkeley.edu
  • Plamen Koev
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • Email: plamen@math.mit.edu
  • Received by editor(s): March 9, 2004
  • Received by editor(s) in revised form: October 14, 2004
  • Published electronically: August 31, 2005
  • Additional Notes: This material is based in part upon work supported by the LLNL Memorandum Agreement No. B504962 under DOE Contract No. W-7405-ENG-48, DOE Grants No. DE-FG03-94ER25219, DE-FC03-98ER25351 and DE-FC02-01ER25478, NSF Grant No. ASC-9813362, and Cooperative Agreement No. ACI-9619020.
    This work was partially supported by National Science Foundation Grant No. DMS-0314286.
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 75 (2006), 223-239
  • MSC (2000): Primary 65G50; Secondary 05E05
  • DOI: https://doi.org/10.1090/S0025-5718-05-01780-1
  • MathSciNet review: 2176397