有向丸めの変更を使用しないタイトな行列積の包含方法  [in Japanese] Tight Enclosure of Matrix Multiplication without Directed Rounding  [in Japanese]

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Abstract

This paper is concerned with interval arithmetic, especially, an enclosure of a matrix product is focused on. Using level 3 operations of matrix computations, an algorithm outputting a tight enclosure for matrix multiplication is proposed. Most of the algorithms for this purpose require switches of rounding modes defined in the IEEE standard 754. However some programing enviroments have not supported them. Our proposed method demands only rounding-to-nearest mode, so that it is very portable.

Journal

  • Bulletin of the Japan Society for Industrial and Applied Mathematics

    Bulletin of the Japan Society for Industrial and Applied Mathematics 21(3), 186-196, 2011

    The Japan Society for Industrial and Applied Mathematics

References:  16

Codes

  • NII Article ID (NAID)
    110009426222
  • NII NACSIS-CAT ID (NCID)
    AN10288886
  • Text Lang
    JPN
  • Article Type
    ART
  • ISSN
    09172270
  • NDL Article ID
    11263477
  • NDL Source Classification
    ZM31(科学技術--数学)
  • NDL Call No.
    Z15-726
  • Data Source
    CJP  NDL  NII-ELS  J-STAGE 
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