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An algorithm for the generalized symmetric tridiagonal eigenvalue problem
Numerical Algorithms, 1994The authors propose an algorithm to solve numerically the generalized eigenvalue problem \(Tx = \lambda Sx\); \(T\), \(S\) being symmetric tridiagonal matrices. The algorithm is based on finding zeros of the polynomial equation \(\text{det} [T - \lambda S] = 0\); the characteristic polynomial and its derivatives can be evaluated by modified three-term ...
Kuiyuan Li, Tien-Yien Li, Zhonggang Zeng
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Inclusion of Eigenvalues of General Eigenvalue Problems for Matrices
1988Inclusion of Eigenvalues of General Eigenvalue Problems for Matrices. In this paper, a procedure for calculating bounds to eigenvalues of general matrix eigenvalue problems is proposed. The procedure is based on Temple quotients and their generalization by Lehmann, in connection with interval arithmetic.
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Generalized eigenvalue problem for interval matrices
Archiv Der Mathematik, 2023Sarishti Singh +2 more
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On the Generalized Eigenvalue Problem
IMA Journal of Applied Mathematics, 1976openaire +1 more source
Generalized Eigenvalue Problems for Rectangular Matrices
IMA Journal of Applied Mathematics, 1977Jennings, L. S., Osborne, M. R.
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An analytical model for solving generalized interval eigenvalue problem
Applied Mathematical Modelling, 2018Youqin Huang
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A divide-and-conquer method for the tridiagonal generalized eigenvalue problem
Journal of Computational and Applied Mathematics, 1997L Elsner
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Iterative Solution of the Generalized Eigenvalue Problem
IMA Journal of Applied Mathematics, 1976openaire +1 more source
A generalized eigenvalue problem in the max algebra
Linear Algebra and Its Applications, 2007H Volkmer
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