GMRESにおける新しい繰り返し計算法の提案

• 里 周二

  宇都宮大学

• 米川 亨

  宇都宮大学

• 村瀬 洋

  東芝

書誌事項

タイトル別名

• Proposal of New Iterative Scheme in GMRES
• GMRES ニ オケル アタラシイ クリカエシ ケイサンホウ ノ テイアン

抄録

In the paper, GMRES is applied to various large matrices appearing in the 3D field analyses. By changing the condition of the matrices, effective pre-conditioning of the matrix is to be searched for. Also studied is a relationship between the residual norm and the precision evaluated during GMRES. The paper clarified the residual norm, which is indirectly computed in GMRES and has so far been used as a measure of precision, cannot be used as an indicator of solution's accuracy. After reasoning a deterioration of the precision, GMRES (ml), which solves matrix with a modified iterative scheme, is proposed. It is to be confirmed that GMRES(ml) is faster and more accurate than any of GMRES and its modified version, GMRES (m).

収録刊行物

• 電気学会論文誌．　Ａ

  電気学会論文誌．　Ａ 117 (6), 605-613, 1997

  一般社団法人 電気学会

キーワード

• 孤立正方形電極
• 電界解析

詳細情報

• CRID: 1390001204600550272
• NII論文ID: 130006840036
• NII論文ID: 10002822108
• NII書誌ID: AN10136312
• DOI: 10.1541/ieejfms1990.117.6_605
• ISSN: 13475533
• ISSN: 03854205
• NDL書誌ID: 4216161
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4216161
• Web Site: https://www.jstage.jst.go.jp/article/ieejfms1990/117/6/117_6_605/_pdf
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