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- W4384818782 abstract "This paper proposes a new splitting method for approximating the exponential of skew-symmetric and skew-Hermitian matrix A . Our point of departure is the splitting methods for approximation of the matrix exponential, which we modify and combine with new low-cost analytic formula for some sparse matrix exponential. Our motivation is to create and test a fast exponential approximation method in the context of a balance between speed and quality of approximation. We propose a cross splitting of the matrix A and use it in incomplete form for reducing computational complexity of exponential stage. We have also derived an analytical formula for a cross-type sparse skew-symmetric and skew-Hermitian matrix exponential, similar to the Euler-Rodrigues relation, well known for skew-symmetric matrices in R 3 . We evaluate this approximation problem in the context of computational cost and the speed of the algorithms used in technology. A number of numerical experiments conclude the optimization problem of the Independent Components Analysis type, the results of which confirm the effectiveness of the proposed method in technical applications." @default.
- W4384818782 created "2023-07-21" @default.
- W4384818782 creator A5021889245 @default.
- W4384818782 date "2023-07-19" @default.
- W4384818782 modified "2023-09-24" @default.
- W4384818782 title "Incomplete Cross Splitting in the Approximation of Skew-Symmetric Matrix Exponential" @default.
- W4384818782 doi "https://doi.org/10.22541/au.168980227.72567794/v1" @default.
- W4384818782 hasPublicationYear "2023" @default.
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