The corner-modified symmetric Toeplitz matrix can be considered as a symmetric Toplitz matrix plus two rank-one matrices. Based on the decomposition of Toeplitz inversion and order-reduction algorithm, two new algorit...
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The corner-modified symmetric Toeplitz matrix can be considered as a symmetric Toplitz matrix plus two rank-one matrices. Based on the decomposition of Toeplitz inversion and order-reduction algorithm, two new algorithms for the product of symmetric Toplitz inversion and the vector are proposed. Also, we give two fast algorithms for the solution of corner-modified symmetric Toeplitz linear system. The structured perturbation analysis of the symmetric Toplitz matrix inversion is presented next. We exploit the proposed methods for image encryption and decryption, which can be performed via the fast (corner-modified) symmetric Toeplitz matrix-vector multiplications, and (corner-modified) symmetric Toeplitz linear solvers. Numerical experiments demonstrate that our proposed algorithms are accurate and effective, especially in high-order systems (often over 2(12)).
To obtain order-reduced model of high-frequency transformer windings, firstly voltage transfer functions are derived from short-circuit admittance parameters which are calculated from the distributed parameters or mea...
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ISBN:
(纸本)9781424427239
To obtain order-reduced model of high-frequency transformer windings, firstly voltage transfer functions are derived from short-circuit admittance parameters which are calculated from the distributed parameters or measured parameters of transformer windings in this paper. Secondly, voltage transfer functions are fitted with rational functions by vector fitting method. Lastly common Pade algorithm, Routh algorithm and optimal Pade approximation algorithm are order-reduced for rational voltage transfer functions to obtain approximate model of transformer windings. Simulation results show optimal Pade approximation algorithm not only can reserve main magnitude-phase characteristics of high-frequency model, but also can simplify high-frequency model. So this algorithm is the fittest algorithm for gaining order-reduced model at present.
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