TY - JOUR
T1 - On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem
AU - Lu, Linzhang
AU - Ng, Michael K.
N1 - Research supported in part by National Natural Science Foundation of China.
Research supported in part by RGC Grant Nos. 7130/02P and 7046/03P, and HKU CRCG Grant Nos 10203501, and 10204437.
Publisher Copyright:
© Springer-Verlag 2004
PY - 2004/7
Y1 - 2004/7
N2 - In this paper, we study the inverse eigenvalue problem of a specially structured Jacobi matrix, which arises from the discretization of the differential equation governing the axial of a rod with varying cross section (Ram and Elhay 1998 Commum. Numer. Methods Engng. 14 597-608). We give a sufficient and some necessary conditions for such inverse eigenvalue problem to have solutions. Based on these results, a simple method for the reconstruction of a Jacobi matrix from eigenvalues is developed. Numerical examples are given to demonstrate our results.
AB - In this paper, we study the inverse eigenvalue problem of a specially structured Jacobi matrix, which arises from the discretization of the differential equation governing the axial of a rod with varying cross section (Ram and Elhay 1998 Commum. Numer. Methods Engng. 14 597-608). We give a sufficient and some necessary conditions for such inverse eigenvalue problem to have solutions. Based on these results, a simple method for the reconstruction of a Jacobi matrix from eigenvalues is developed. Numerical examples are given to demonstrate our results.
UR - http://www.scopus.com/inward/record.url?scp=3543036984&partnerID=8YFLogxK
UR - https://link.springer.com/article/10.1007/s00211-004-0525-x#article-info
U2 - 10.1007/s00211-004-0525-x
DO - 10.1007/s00211-004-0525-x
M3 - Journal article
AN - SCOPUS:3543036984
SN - 0029-599X
VL - 98
SP - 167
EP - 176
JO - Numerische Mathematik
JF - Numerische Mathematik
IS - 1
ER -
