A new algorithm for solving ill-conditioned linear systems

Hyoung Joong Kim

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1373-1376
Number of pages4
JournalIEEE Transactions on Magnetics
Volume32
Issue number3 PART 2
DOIs
Publication statusPublished - 1996
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

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