Art

J-GLOBAL ID：200902167794424768   Reference number：97A0352189

MRTR Method: An Iterative Method Based on the Three-Term Recurrence Formula of CG-Type for Nonsymmetric Matrix.

MRTR法:CG型の三項漸化式に基づく非対称行列のための反復解法

Author (3)： ABE KUNIYOSHI (名古屋大 大学院) ,  ZHANG S-L (筑波大 電子・情報工学系) ,  MITSUI TAKETOMO (名古屋大 大学院)
Material： 日本応用数理学会論文誌  (Transactions of the Japan Society for Industrial and Applied Mathematics)
Volume： 7  Issue： 1  Page： 37-50  Publication year： Mar. 1997 
JST Material Number： L1010A  ISSN： 0917-2246  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： JAPANESE (JA)

Thesaurus term： gradient method ,...
Semi thesaurus term： numerical experiment

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JST classification (1)： Numerical computation  (JE02000J)

Reference (14)：

• BROWN, P. N. GMRES on(nearly)Singular Systems. Res. Report, 2/94/73, Dept. Math. Statis. Utah Univ. 1994
• EISENSTAT, S. C. Variational Iterative Methods for Nonsymmetric Systems of Linear Equations. SIAM J. Numer. Anal. 1983, 20, 345-357
• FLETCHER, R. Conjugate Gradient Methods for Indefinite Systems. Lecture Notes in Mathematics. 1976, 506, 73-89
• HESTENES, M. R. Methods of Conjugate Gradients for Solving Linear Systems. J. Res. Nat. Bur. Standards. 1952, 49, 409-435
• LANCZOS, C. Solution of Systems of Linear Equations by Minimized Iterations. J. Res. Nat. Bur. Standards. 1952, 49, 33-53

Terms in the title (4)： CG ,  漸化式 ,  対称行列 ,  反復解法