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Article Navigation >  Nuclear Physics Review  > 2009  >  26(5): 165-167

ZHAO Yu-min. Eigenvalues of Large Matrices[J]. Nuclear Physics Review, 2009, 26(5): 165-167. doi: 10.11804/NuclPhysRev.26.S1.165
Citation: ZHAO Yu-min. Eigenvalues of Large Matrices[J]. Nuclear Physics Review, 2009, 26(5): 165-167. doi: 10.11804/NuclPhysRev.26.S1.165
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Eigenvalues of Large Matrices

doi: 10.11804/NuclPhysRev.26.S1.165

  • 1 Department of Physics, Shanghai Jiaotong University, Shanghai 200240, China; 2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Research Facility in Lanzhou, Lanzhou 730000, China

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  • Corresponding author: ZHAO Yu-min
  • Received Date: 1900-01-01
  • Rev Recd Date: 1900-01-01
  • Publish Date: 2020-05-11
  • We recently performed a series of improvement on evaluation of eigenvalues without complicated iterations. In this work we first discuss evaluation of the lowest eigenvalue for given systems, by which one conveniently obtains the value of the lowest eigenvalue based on the dimension and width of given matrix. We also discuss a strong correlation between eigenvalues and diagonal matrix elements for large matrices, by which one is able to predict eigenvalues approximately without iterations.
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Eigenvalues of Large Matrices

doi: 10.11804/NuclPhysRev.26.S1.165
  • 1 Department of Physics, Shanghai Jiaotong University, Shanghai 200240, China; 2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Research Facility in Lanzhou, Lanzhou 730000, China
    Corresponding author: ZHAO Yu-min
  • Received Date: 1900-01-01
  • Rev Recd Date: 1900-01-01
  • Publish Date: 2020-05-11

Abstract: We recently performed a series of improvement on evaluation of eigenvalues without complicated iterations. In this work we first discuss evaluation of the lowest eigenvalue for given systems, by which one conveniently obtains the value of the lowest eigenvalue based on the dimension and width of given matrix. We also discuss a strong correlation between eigenvalues and diagonal matrix elements for large matrices, by which one is able to predict eigenvalues approximately without iterations.

ZHAO Yu-min. Eigenvalues of Large Matrices[J]. Nuclear Physics Review, 2009, 26(5): 165-167. doi: 10.11804/NuclPhysRev.26.S1.165
Citation: ZHAO Yu-min. Eigenvalues of Large Matrices[J]. Nuclear Physics Review, 2009, 26(5): 165-167. doi: 10.11804/NuclPhysRev.26.S1.165
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