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Generalized Iterative Decreasing Dimension Method

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2010

Key Words:

Author NameUniversity of AuthorFaculty of Author

AMS Codes:

Abstract (2. Language): 
In this study, we have given a generalization of the iterative decreasing dimension method given in [3] and a generalization of the iterative decreasing dimension algorithm based on this method. The algorithm is suited for implementation using computer algebra systems such as Maple and MATLAB. So we also have given symbolic and numerical examples using this algorithm and a Maple procedure for the algorithm.
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  • 5
819-830
  • English

REFERENCES

References: 

[1] G.H. Golub and J.M. Ortega. Scientific Computing : An Introduction with Parallel Computing.
Academic Press, Boston, MA, 1993.
[2] G.H. Golub and C.F. van Loan. Matrix Computations. The Johns Hopkins University Press,
Baltimore, MD, 1983.
[3] T. Keskin and K. Aydın. Iterative decreasing dimension algorithm. Comp. and Math. with
Appl., 53:1153–1158, 2007.
[4] H. Wang and J. Jiang. Solution of the system of linear algebraic equations by decreasing
dimension. App. Math. and Comput., 109:51–57, 2000.
[5] J. Zhang. Comments on Solution of the system of linear algebraic equations by decreasing
dimension. Appl. Math. and Comput., 128:95–98, 2002.

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