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On solving energy-dependent partitioned eigenvalue problem by genetic algorithm: The case of real symmetric Hamiltonian matrices

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Abstract

An energy-dependent partitioning scheme is explored for extracting a small number of eigenvalues of a real symmetric matrix with the help of genetic algorithm. The proposed method is tested with matrices of different sizes (30 × 30 to 1000 × 1000). Comparison is made with Löwdin’s strategy for solving the problem. The relative advantages and disadvantages of the GA-based method are analyzed

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References

  1. J H Wilkinson,The algebraic eigenvalue problem (Oxford University Press, London, 1965)

    MATH  Google Scholar 

  2. J H Holland,Adaptation in natural and artificial systems (University of Michigan Press, Ann Arbor, MI, 1975)

    Google Scholar 

  3. D E Goldberg,Genetic algorithms in search, optimisation and machine learning (Addison Wesley, Reading, MA, 1989)

    Google Scholar 

  4. S Nandy, P Chaudhury and S P Bhattacharyya,Int. J. Quantum Chem. 90, 188 (2002)

    Article  Google Scholar 

  5. S Nandy, P Chaudhury and S P Bhattacharyya,J. Chem. Sci. 116, 285 (2004)

    Article  Google Scholar 

  6. P O Löwdin,J. Chem. Phys. 19, 1396 (1951)

    Article  MathSciNet  ADS  Google Scholar 

  7. P O Löwdin,Int. J. Quantum Chem. 2, 167 (1968)

    Article  Google Scholar 

  8. J P Killingbeck and G Jolicard,J. Phys. A36, 12105-R180 (2003)

    Google Scholar 

  9. R K Nesbet,J. Comp. Phys. 43, 311 (1965)

    Google Scholar 

  10. W J Kerner,J. Comput. Phys. 85, 1 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  11. W Butscher and W E Kammer,J. Comp. Phys. 20, 313 (1976)

    Article  MathSciNet  Google Scholar 

  12. J A R Coope and D W Sabo,J. Comp. Phys. 23, 404 (1977)

    Article  MATH  MathSciNet  Google Scholar 

Download references

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Author notes

  1. Subbajit Nandy

    Present address: Andrew’s High (H.S.) School, 700 031, Kolkata, India

Authors and Affiliations

  1. Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, 700 032, Kolkata, India

    Rahul Sharma, Subbajit Nandy & S. P. Bhattacharyya

Authors
  1. Rahul Sharma
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  2. Subbajit Nandy
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  3. S. P. Bhattacharyya
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Correspondence to S. P. Bhattacharyya.

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Sharma, R., Nandy, S. & Bhattacharyya, S.P. On solving energy-dependent partitioned eigenvalue problem by genetic algorithm: The case of real symmetric Hamiltonian matrices. Pramana - J Phys 66, 1125–1130 (2006). https://doi.org/10.1007/BF02708466

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  • DOI: https://doi.org/10.1007/BF02708466

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