相加的血縁行列の逆行列を用いた傾斜勾配法による混合モデル方程式の解法の比較

• 佐藤 正寛

  農業生物資源研究所

書誌事項

タイトル別名

• Comparison of Algorithms with Setting up Inverse of Additive Relationship Matrix for Solving Mixed Model Equations Using Scaled Conjugate Gradient Iteration.
• ソウカテキ ケツエン ギョウレツ ノ ギャクギョウレツ オ モチイタ ケイシャ コウバイホウ ニ ヨル コンゴウ モデル ホウテイシキ ノ カイホウ ノ ヒカク

抄録

A semi-indirect approach, where not the whole equations but inverse of additive relationship matrix was set up, was proposed in order to compute the solutions to mixed model equations. The semi-indirect and direct algorithms for solving mixed model equations using scaled conjugate gradient iteration were compared for 8 data sets generated by the Monte Carlo simulation. Data sets 1 through 4 contained a single dependent variable with about 2, 000, 000 animals. Data sets 5 through 8 consisted of five traits with about 400, 000 animals. The ordering of mixed model equations was fixed effects followed by additive genetic random effects. In direct algorithm implemented with single precision, the scaled conjugate gradient program did not converge for several data sets. The CPU time using the new technique was not different from that by the direct approach. The semi-indirect approach required smaller size of memory than the direct approach. Advantage of semiindirect approach depends on the model; more complicated models will produce clearer differences.

収録刊行物

• 日本養豚学会誌

  日本養豚学会誌 40 (3), 149-154, 2003

  日本養豚学会

キーワード

• Relationship matrix
• Conjugate gradient
• Mixed model equations

詳細情報

• CRID: 1390282679684663424
• NII論文ID: 10011341170
• NII書誌ID: AN10202971
• DOI: 10.5938/youton.40.149
• ISSN: 1881655X
• ISSN: 0913882X
• NDL書誌ID: 6713859
• Web Site: https://agriknowledge.affrc.go.jp/RN/2010681051
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6713859
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • IRDB
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可