A new algorithm for solving ill-conditioned linear systems

被引：2

作者：

Kim, HJ ^{[1
]}

Choi, K ^{[1
]}

Lee, HB ^{[1
]}

Jung, HK ^{[1
]}

Hahn, SY ^{[1
]}

机构：

[1] SEOUL NATL UNIV,SEOUL 151742,SOUTH KOREA

来源：

IEEE TRANSACTIONS ON MAGNETICS | 1996年 / 32卷 / 03期

关键词：

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A new algorithm is presented for solving ill-conditioned linear equations. This method is radically different from conventional methods. We improve the condition of the linear equation first and then solve the well-conditioned one. The approximate solution is modified to get the exact solution. Numerical simulations show that the proposed method is effective enough to be applied to the practical finite element problems. Mathematical soundness of the algorithm is also shown. Several implementation techniques are discussed. It can be used not only for solving ill-conditioned equations but also for inverse problems and many other areas.

引用

页码：1373 / 1376

页数：4

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