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Maple V: Mathematics and its Applications pp 219–227Cite as

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Solution of Banded Linear Systems of Equations in Maple Using LU Factorization

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Abstract

We describe two Maple implementations of an LU-factorization method for the solution of column diagonally dominant banded matrices. We compare the efficiency of these programs with Maple’ s built-in routine linsolve. We also give an example of the new indexing functions for Maple V Release 3. The code described in this paper is available by anonymous ftp to pineapple.apmaths.uwo.ca (129.100.23.160) in the directory pub/maple/band.

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References

  1. Robert M. Corless, “Six, Lies, and Calculators”, American Mathematical Monthly, 100, no. 4, 1993.

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  2. Robert M. Corless, David J. Jeffrey, and M. A. H. Nerenberg, “The Row Echelon Decomposition of a Matrix”, in the linalg subdirectory of the Maple Share Library, 1990.

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  3. Gene H. Golub and Charles F. Van Loan, Matrix Computations, Johns Hopkins, 1983.

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  4. William W. Hager, Applied Numerical Linear Algebra, Prentice-Hall, 1988.

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  5. Sergio Pissanetzky, Sparse Matrix Technology, Academic Press, 1984.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada

    Robert M. Corless

  2. Department of Civil Engineering, University of Western Ontario, London, Ontario, Canada

    Khaled El-Sawy

Authors
  1. Robert M. Corless
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  2. Khaled El-Sawy
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Editor information

Editors and Affiliations

  1. Rose-Hulman Institute of Technology, 5500 Wabash Avenue, Terre Haute, IN, 47803, USA

    Robert J. Lopez

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© 1994 Springer Science+Business Media New York

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Corless, R.M., El-Sawy, K. (1994). Solution of Banded Linear Systems of Equations in Maple Using LU Factorization. In: Lopez, R.J. (eds) Maple V: Mathematics and its Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0263-9_26

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  • DOI: https://doi.org/10.1007/978-1-4612-0263-9_26

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3791-0

  • Online ISBN: 978-1-4612-0263-9

  • eBook Packages: Springer Book Archive

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