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An Effective Compressed Sparse Preconditioner for Large Scale Biomolecular Simulations

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Computational and Information Science (CIS 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3314))

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Abstract

The natural preconditioner defined by local potentials is effective in the truncated Newton method for minimizing large scale biomolecular potential energy functions. This paper extends its definition, and proposes an algorithm for generating the sparse pattern of the preconditioner from the primary structure of a molecular system with N atoms. It shows that the implementation of the new compressed sparse preconditioner requires only a linear order of N memory locations.

This work was supported by the National Science Foundation through grant DMS-0241236, and, in part, by the Graduate School Research Committee Award (343267-101-4) of the University of Wisconsin-Milwaukee.

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References

  • Brooks, B.R., Bruccoleri, R.E., Olafson, B.D., States, D.J., Swaminathan, S., Karplus, M.: CHARMM: A program for macromolecular energy, minimization, and dynamics calculations. J. Comp. Chem. 4, 187–217 (1983)

    Article  Google Scholar 

  • Dembo, R.S., Steihaug, T.: Truncated-Newton algorithms for large-scale unconstrained optimization. Math. Prog. 26, 190–212 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  • Derreumaux, P., Zhang, G., Brooks, B., Schlick, T.: A truncated-Newton method adapted for CHARMM and biomolecular applications. J. Comp. Chem. 15, 532–552 (1994)

    Article  Google Scholar 

  • Perahia, D., Mouawad, L.: Computation of low-frequency normal modes in macromolecules: improvements to the method of diagonalization in a mixed basis and application to hemoglobin. Computers & Chemistry 19, 241–245 (1995)

    Article  Google Scholar 

  • Schultz, M.H., Eisenstat, S.C., Sherman, A.H.: Algorithms and data structures for sparse symmetric Gaussian elimination. SIAM J. Sci. Statist. Comput. 2, 225–237 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  • Schlick, T., Fogelson, A.: TNPACK — A truncated Newton minimization package for large-scale problems: I. Algorithm and usage. ACM Trans. Math. Softw. 14, 46–70 (1992)

    Article  Google Scholar 

  • Schlick, T., Overton, M.L.: A powerful truncated Newton method for potential energy functions. J. Comp. Chem. 8, 1025–1039 (1987)

    Article  MathSciNet  Google Scholar 

  • Xie, D., Schlick, T.: Efficient implementation of the truncated-Newton algorithm for large-scale chemistry applications. SIAM J. OPT. 10, 132–154 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  • Xie, D., Schlick, T.: Remark on Algorithm 702—The updated truncated Newton minimization package. ACM Trans. on Math. Software 25, 108–122 (1999)

    Article  MATH  Google Scholar 

  • Xie, D., Schlick, T.: A more lenient stopping rule for line search algorithms. Optimization Methods and Software 17, 683–700 (2002)

    Article  MATH  MathSciNet  Google Scholar 

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Xie, D. (2004). An Effective Compressed Sparse Preconditioner for Large Scale Biomolecular Simulations. In: Zhang, J., He, JH., Fu, Y. (eds) Computational and Information Science. CIS 2004. Lecture Notes in Computer Science, vol 3314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30497-5_11

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  • DOI: https://doi.org/10.1007/978-3-540-30497-5_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24127-0

  • Online ISBN: 978-3-540-30497-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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