A Test Matrix for an Inverse Eigenvalue Problem
Joint Authors
Willms, N. B.
Jones, T. H.
Gladwell, G. M. L.
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-26
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Gladwell, G. M. L.& Jones, T. H.& Willms, N. B.. 2014. A Test Matrix for an Inverse Eigenvalue Problem. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-477770
Modern Language Association (MLA)
Gladwell, G. M. L.…[et al.]. A Test Matrix for an Inverse Eigenvalue Problem. Journal of Applied Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-477770
American Medical Association (AMA)
Gladwell, G. M. L.& Jones, T. H.& Willms, N. B.. A Test Matrix for an Inverse Eigenvalue Problem. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-477770
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477770