[[1 線形方程式の解法の選択]]&br;
[[2 参考文献および参考書の記述]]&br;
線形方程式, &math(Ax=b); >>> 実対称/複素エルミート, &math(A=A^H); >>> 正定値 >>> CG 法
線形方程式, &math(Ax=b); >>> 実対称/複素エルミート, &math(A=A^H); >>> 不定値 >>> CR 法
#contents

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*参考文献および参考書 [#vc40ce99]

[10] Magnes R. Hestenes and Eduard Stiefel, Methods of conjugate gradients for solving linear systems,
Journal of Research of the National Bureau of Standards 1952; 49(6):409–436.
*概要 [#y944675d]

[2] Richard Barrett, Michael W. Berry, Tony F. Chan, James Demmel, June Donato, Jack Dongarra,
Victor Eijkhout, Roldan Pozo, Charles Romine and Henk A. van der Vorst, Templates for the
Solution of Linear Systems: Building Blocks for Iterative Methods, SIAM: Philadelphia, PA,
1993.&br;
P14–17
*参考文献および参考書 [#t1b3c233]

**原著論文 [#r3a47c2b]
[22] Eduard Stiefel, Relaxationsmethoden bester strategie zur l¨osung linearer gleichungssysteme, Commentarii Mathematici Helvetici 1952; 29(1):157–179.

**教科書 [#o9b766b8]
[14] Yousef Saad, Iterative Methods for Sparse Linear Systems, 2nd ed., SIAM: Philadelphia, PA,
2003.&br;
P187–194
P194

[27] Henk A. van der Vorst, Iterative Krylov Methods for Large Linear Systems, Cambridge University
Press: New York, NY, 2003.&br;
P37–47

[23] Masaaki Sugihara and Kazuo Murota, Theoretical Numerical Linear Algebra, Iwanami Press:
Tokyo, 2009, (in Japanese).&br;
P148–153&br;
P31–35
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