Introduction of Double Divide and Conquer and the Recent Progress

نویسندگان

  • TARO KONDA
  • YOSHIMASA NAKAMURA
چکیده

Abstract. An algorithm dubbed double Divide and Conquer is recently proposed, which first computes only singluar values by a part of Divide and Conquer and then computes the corresponding singular vectors by the twisted factorization. It accurately computes bidiagonal SVD in O(n) flops and is suited for parallelization when singular values are isolated. However, the twisted factorization can fail if singular values are tightly clustered. In this paper, we discuss the adaptation of a reorthogonalization process for double Divide and Conquer to cope with such matrices.

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تاریخ انتشار 2009