期刊
LINEAR ALGEBRA AND ITS APPLICATIONS
卷 435, 期 3, 页码 537-559出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2010.09.021
关键词
Matrix exponential; Chebyshev polynomial; Legendre polynomial; Laguerre polynomial
Many different algorithms have been suggested for computing the matrix exponential. In this paper, we put forward the idea of expanding in either Chebyshev, Legendre or Laguerre orthogonal polynomials. In order for these expansions to converge quickly, we cluster the eigenvalues into diagonal blocks and accelerate using shifting and scaling. (C) 2010 Elsevier Inc. All rights reserved.
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