@article{oai:nagoya.repo.nii.ac.jp:00008527,
 author = {阿部, 邦美 and ABE, KUNIYOSHI and 曽我部, 知広 and SOGABE, TOMOHIRO and 藤野, 清次 and FUJINO, SEIJI and 張, 紹良 and ZHANG, SHAO-LIANG},
 journal = {情報処理学会論文誌},
 month = {},
 note = {我々は非対称行列用共役残差法の残差多項式の係数の計算方法を積型反復解法に取り入れることによって新たな積型反復解法を提案する.すなわち,残差,近似解を生成するための漸化式は従来の積型反復解法と同一のものを用い,従来の双共役勾配法の残差多項式の係数の代わりに非対称行列用共役残差法の残差多項式の係数を用いてアルゴリズムを更新する.数値実験では,非対称行列用CR法に基づく積型反復解法が従来の積型反復解法よりも有効であることを示す., We propose a product-type Krylov subspace method based on the conjugate residual (CR) method for nonsymmetric coefficient matrices. The recurrence formulas for updating an approximation and a residual vector are the same as those of the original product-type Krylov subspace method, while the recurrence coefficients α_κ and β_κ are determined so as to compute the coefficients of the residual polynomial of CR for nonsymmetric coefficient matrices. Numerical experiments show that our proposed product-type Krylov subspace method is more effective than the original.},
 pages = {11--21},
 title = {非対称行列用共役残差法に基づく積型反復解法(数値アルゴリズム)},
 volume = {48},
 year = {2007}
}