CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1995, Vol. 12 ›› Issue (4): 467-474.

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THE INVERSE EIGEN-PROBLEM FOR SYMMETRIC TRIDIAGONAL MATRICES AND PERIODIC SYMMETRIC TRIDIAGONAL MATRICES

Yin Qingxiang   

  1. Department of Mathematics, Yancheng Teachers Collect, Jiangsu 224002
  • Received:1994-03-27 Revised:1995-04-02 Online:1995-12-25 Published:1995-12-25

Abstract: This paper deals with the reconstruction of symmetric tridiagonal matrices and periodic symmetlic tridiagonal matrices from eigen-pairs of the matrix and its largest leading principal matrix. The necessary and sufficient conditions for the existence and uniqueness of the solution are given. Some numerical algorithms are presented.

Key words: computational methed, numerical algebra, characteristic value, inverse problem

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