Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (2): 356-363.

• Articles • Previous Articles     Next Articles

Construction of Jacobi Matrix from its Submatrix and Spectrum and |its Expansion

 WEI Ying, DAI Hua   

  1. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016
  • Received:2008-10-27 Revised:2011-09-15 Online:2012-04-25 Published:2012-04-25
  • Supported by:

    国家自然科学基金(11071118)资助

Abstract:

This paper considers the following problem: how to construct a Jacobi matrix from its spectrum and a submatrix. The numerical algorithms are given. Then we expand the result to the method of expanding a spring mass system to double dimension and the inverse  problem of constructing  a tridiagonal quadratic pencil.

Key words: Inverse problem, Jacobi matrix, Quadratic pencil, Spring mass system, Submatrix

CLC Number: 

  • 15A54
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