The scaling and squaring method is the most widely used method for computing the matrix exponential, not least because it is the method implemented in MATLAB's ...

Oct 9, 2021 · A competitive algorithm is developed for the large sparse matrix exponential. The proposed method can primarily alleviate the over-scaling problem due to the ...

To calculate the matrix exponential accurately and efficiently, many methods have been put forward, such as Taylor series expansion, Padé approximation, and the ...

Dec 6, 2021 · The FPIM is a promising method that can efficiently calculate the large-scale matrix exponential involved in vibration response and non-Fourier ...

Oct 22, 2024 · The filtering algorithm is to construct a threshold and eliminate the elements in the matrix whose absolute value is less than the threshold. ..

We developed the relationship between the exact and approximate matrix exponential. And, we propose a new algorithm for the calculation of large sparse matrix ...

Dec 30, 2017 · I want to compute the action of matrix exponential on a vector. My matrix B is of a very large size and it is sparse.

Oct 22, 2024 · This work presents a new algorithm for matrix exponential computation that significantly simplifies a Taylor scaling and squaring algorithm ...

In this paper, we address the parallelization on one of the matrix kernel in the DQMC simulations: the multiplication of matrix exponentials. The matrix is ...

Krylov subspace techniques have been shown to yield robust methods for the numerical computation of large sparse matrix exponentials and especially the ...