Verified computation of the matrix exponential
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-018-9609-5
Abstract: Two numerical algorithms for computing interval matrices containing the matrix exponential are proposed. The first algorithm is based on a numerical spectral decomposition and requires only cubic complexity under some assumptions. The second algorithm is… read more here.
Keywords: matrix exponential; verified computation; computation matrix;
Irregular N2SLS and LASSO estimation of the matrix exponential spatial specification model
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DOI: 10.1016/j.jeconom.2018.06.005
Abstract: In this paper, we consider estimation of the matrix exponential spatial specification model with the Durbin and endogenous regressors. We find that the nonlinear two-stage least squares (N2SLS) estimator is in general consistent and asymptotically… read more here.
Keywords: estimation; exponential spatial; spatial specification; matrix exponential ... See more keywords
A Chebyshev collocation based sequential matrix exponential method for the generalized density evolution equation
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DOI: 10.1016/j.probengmech.2021.103118
Abstract: Abstract In perspective of global approximation, this study presents a numerical method for the generalized density evolution equation (GDEE) based on spectral collocation. A sequential matrix exponential solution based on the Chebyshev collocation points is… read more here.
Keywords: method generalized; matrix exponential; method; sequential matrix ... See more keywords
The Non-Eigenvalue Form of Liouville’s Formula and α-Matrix Exponential Solutions for Combined Matrix Dynamic Equations on Time Scales
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DOI: 10.3390/math7100962
Abstract: In this paper, the non-eigenvalue forms of Liouville’s formulas for delta, nabla and α -diamond matrix dynamic equations on time scales are given and proved. Meanwhile, a diamond matrix exponential function (or α -matrix exponential… read more here.
Keywords: matrix dynamic; matrix exponential; time scales; non eigenvalue ... See more keywords