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- W3049603440 abstract "A real square matrix is Perron-like if it has a real eigenvalue $s$, called the principal eigenvalue of the matrix, and $mbox{Re},mu<s$ for any other eigenvalue $mu$. Nonnegative matrices and symmetric ones are typical examples of this class of matrices. The main purpose of this paper is to develop a set of new schemes to compute the principal eigenvalues of Perron-like matrices and the associated generalized eigenspaces by using polynomial approximations of matrix exponentials. Numerical examples show that these schemes are effective in practice." @default.
- W3049603440 created "2020-08-21" @default.
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- W3049603440 date "2020-08-16" @default.
- W3049603440 modified "2023-09-25" @default.
- W3049603440 title "New Schemes for Solving the Principal Eigenvalue Problems of Perron-like Matrices via Polynomial Approximations of Matrix Exponentials" @default.
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- W3049603440 doi "https://doi.org/10.48550/arxiv.2008.06850" @default.
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