Open Access
2014 A Test Matrix for an Inverse Eigenvalue Problem
G. M. L. Gladwell, T. H. Jones, N. B. Willms
J. Appl. Math. 2014(SI04): 1-6 (2014). DOI: 10.1155/2014/515082


We present a real symmetric tridiagonal matrix of order n whose eigenvalues are {2k}k=0n-1 which also satisfies the additional condition that its leading principle submatrix has a uniformly interlaced spectrum, {2l+1}l=0n-2. The matrix entries are explicit functions of the size n, and so the matrix can be used as a test matrix for eigenproblems, both forward and inverse. An explicit solution of a spring-mass inverse problem incorporating the test matrix is provided.


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G. M. L. Gladwell. T. H. Jones. N. B. Willms. "A Test Matrix for an Inverse Eigenvalue Problem." J. Appl. Math. 2014 (SI04) 1 - 6, 2014.


Published: 2014
First available in Project Euclid: 1 October 2014

zbMATH: 07131656
MathSciNet: MR3216129
Digital Object Identifier: 10.1155/2014/515082

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI04 • 2014
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