A Test Matrix for an Inverse Eigenvalue Problem

G. M. L. Gladwell, T. H. Jones and N. B. Willms

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: 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, {21l+} 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.

Date: 2014
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https://doi.org/10.1155/2014/515082

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:515082

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