Turkish Journal of Mathematics
DOI
-
Abstract
This paper is devoted to the study of the properties of eigenvalues and eigenvectors of quadratic pencil \lambda^2C - \lambdaR - J , where C is a positive diagonal matrix, R is an arbitrary real diagonal matrix, J is a ,, tridiagonal" real symmetric and positive matrix. The obtained results are then used to solve the corresponding system of differential equations with boundary and initial conditions. Kev Words: Quadratic pencijs, eigenvalues, eigenvectors.
First Page
409
Last Page
422
Recommended Citation
GUSEINOV, G.Sh. and OTURANÇ, G. (1997) "On the Theory of a Certain Class of Quadratic Pencils of Matrices and Its Applications," Turkish Journal of Mathematics: Vol. 21: No. 4, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol21/iss4/3
