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Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices
- Source :
- Journal of Applied Mathematics, Vol 2014 (2014)
- Publication Year :
- 2014
- Publisher :
- Wiley, 2014.
-
Abstract
- We consider the following inverse eigenvalue problem: to construct a special kind of matrix (real symmetric doubly arrow matrix) from the minimal and maximal eigenvalues of all its leading principal submatrices. The necessary and sufficient condition for the solvability of the problem is derived. Our results are constructive and they generate algorithmic procedures to construct such matrices.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 1110757X and 16870042
- Volume :
- 2014
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.5a64f4a64a19468e919fd59894c1f315
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2014/513513