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非Ｈｅｒｍｉｔｅ线性方程组的若干预处理迭代算法.

Authors :: 张迎春
 李　英
 肖曼玉
 谢公南
Source :: Applied Mathematics & Mechanics (1000-0887). Mar2019, Vol. 40 Issue 3, p237-249. 13p.
Publication Year :: 2019
Abstract: Ｎｏｎ⁃Ｈｅｒｍｉｔｉａｎｌｉｎｅａｒｅｑｕａｔｉｏｎｓｈａｖｅｅｘｔｅｎｓｉｖｅａｐｐｌｉｃａｔｉｏｎｉｎｓｃｉｅｎｔｉｆｉｃａｎｄｅｎｇｉｎｅｅｒｉｎｇｃａｌｃｕｌａｔｉｏｎｓａｎｄａｒｅｅｘｐｅｃｔｅｄｔｏｂｅｓｏｌｖｅｄｗｉｔｈｈｉｇｈｅｆｆｉｃｉｅｎｃｙ．Ｔｏａｃｃｅｌｅｒａｔｅｔｈｅｃｏｎｖｅｒｇｅｎｃｅｒａｔｅｏｆｏｒｉｇｉｎａｌａｌｇｏｒｉｔｈｍｓ，ａｐｒｅｃｏｎｄｉｔｉｏｎｉｎｇｔｅｃｈｎｉｑｕｅｗａｓｄｅｖｅｌｏｐｅｄａｎｄａｐｐｌｉｅｄｔｏｓｏｍｅｉｔｅｒａｔｉｖｅｍｅｔｈｏｄｓｃｈｏｓｅｎｔｏｓｏｌｖｅｔｈｅｎｏｎ⁃Ｈｅｒｍｉｔｉａｎｌｉｎｅａｒｅｑｕａｔｉｏｎｓａｎｄｃｏｍｐｌｅｘｌｉｎｅａｒｓｙｓｔｅｍｓｗｉｔｈｍｕｌｔｉｐｌｅｒｉｇｈｔ⁃ｈａｎｄｓｉｄｅｓ．Ｓｅｖｅｒａｌｎｕｍｅｒｉｃａｌｅｘｐｅｒｉｍｅｎｔｓｓｈｏｗｔｈａｔｔｈｅｐｒｅｃｏｎｄｉｔｉｏｎｅｄｉｔｅｒａｔｉｖｅｍｅｔｈｏｄｓａｒｅｓｕｐｅｒｉｏｒｔｏｔｈｅｏｒｉｇｉｎａｌｍｅｔｈｏｄｓｉｎｔｅｒｍｓｏｆｂｏｔｈｔｈｅｃｏｎｖｅｒｇｅｎｃｅｒａｔｅａｎｄｔｈｅｎｕｍｂｅｒｏｆｉｔｅｒａｔｉｏｎｓ．Ｉｎａｄｄｉｔｉｏｎ，ｔｈｅｐｒｅｃｏｎｄｉｔｉｏｎｅｄｇｅｎｅｒａｌｉｚｅｄｃｏｎｊｕｇａｔｅＡ⁃ ｏｒｔｈｏｇｏｎａｌｒｅｓｉｄｕａｌｓｑｕａｒｅｄｍｅｔｈｏｄ（ＧＣＯＲＳ２）ｈａｓｂｅｔｔｅｒｃｏｎｖｅｒｇｅｎｔｂｅｈａｖｉｏｒａｎｄｓｔａｂｉｌｉｔｙｔｈａｎｏｔｈｅｒｐｒｅｃｏｎｄｉｔｉｏｎｅｄｍｅｔｈｏｄｓ． [ABSTRACT FROM AUTHOR]