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An inverse eigenvalue problem for symmetrical tridiagonal matrices
- Source :
-
Computers & Mathematics with Applications . Sep2007, Vol. 54 Issue 5, p699-708. 10p. - Publication Year :
- 2007
-
Abstract
- Abstract: We consider the following inverse eigenvalue problem: to construct a symmetrical tridiagonal matrix from the minimal and maximal eigenvalues of all its leading principal submatrices. We give a necessary and sufficient condition for the existence of such a matrix and for the existence of a nonnegative symmetrical tridiagonal matrix. Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix. [Copyright &y& Elsevier]
- Subjects :
- *EIGENVALUES
*SYMMETRIC matrices
*MATRIX inversion
*ALGORITHMS
*NONNEGATIVE matrices
Subjects
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 54
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 25827088
- Full Text :
- https://doi.org/10.1016/j.camwa.2006.12.035