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Solving rank one perturbed linear Diophantine systems by the ABS method

Amini, K ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1080/10556780500247766
  3. Publisher: 2006
  4. Abstract:
  5. We show how to update the general solution of linear Diophantine systems obtained by the integer ABS method when the coefficient matrix is subjected to a rank one change
  6. Keywords:
  7. Integer programming ; Matrix algebra ; Numerical methods ; Optimization ; Optimization ; ABS methods ; Coefficient matrix ; Diophantine systems ; Rank one update ; Linear systems ; Software engineering ; Diophantine system ; General solutions
  8. Source: Optimization Methods and Software ; Volume 21, Issue 5 , 2006 , Pages 819-831 ; 10556788 (ISSN)
  9. URL: https://www.tandfonline.com/doi/abs/10.1080/10556780500247766