@techreport{oai:ipsj.ixsq.nii.ac.jp:00029256,
 author = {片桐, 孝洋 and Takahiro, Katagiri},
 issue = {80(2002-HPC-091)},
 month = {Aug},
 note = {本論文では実対称三重対角行列の固有ベクトル計算時において，強制的に副対角要素を零にすることで対角ブロック行列化し、問題レベルの並列性を増加させる強制対角ブロック化の効果を検証する．HITACHI SR8000/MPP 128PE  Fujitsu VPP800/63 32ノードを用い，理論上強制対角ブロック化の効果が期待できるように作成した試験行列を用いた数値実験の結果、演算量と通信時間を削減することで78 000倍程度の速度向上が達成できる例があることを確認した．, In this paper, we examine the effect of endiagonal-blocked method(EBM) for computing eigenvecters with real symmetric tridiagonal matrices. By using the EBM, small values of  sub-diagonal elements are enforced with zero elements. This changes the matrices into block diagonal elements are enforced with zero elements. This changes the matrices into block diagonal matrices, and hence the parallelizm of problem is dramatically increased. For the results of  using 128 PEs of the HITACHI SR8000 MPP and 32 nodes of the Fujitsu VPP800/63, we observed case that more than 78,000 times speed-up was obstained by reducing the computation complexity and communication time, when we applied a test matrix which was suitable for EBM theoretically.},
 title = {並列固有ベクトル計算における強制対角ブロック化の効果},
 year = {2002}
}