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An algorithm for calculating the electromagnetic fields distribution in multilayer structure is developed relying on Abeles matrices method for wave propagation in isotropic stratified media.
Saadatmandi and Dehghan [17] and Doha et al. [18] extended the operational matrices method and derived operational matrices of fractional derivatives for orthogonal polynomials and used it for solving different types of FDEs.
Babolian et al. introduced the operational matrices method by using piecewise constant orthogonal functions and homotopy perturbation method for solving nonlinear Volterra integral equations of the first kind separately in [10] and [11].
Due to the complexity of the studied matrices, method performance was evaluated in a representative variety of both rinse-off and leave-on samples, demonstrating to have a broad linear range (R2 > 0.9964).
4. In the gray-level co-occurrence matrices method (GLCM) [43, 44], each matrix represents the joint probability distributions between the gray-level values of pairs of pixels at a predetermined distance (1 pixel) and orientation (0°, 45°, 90°, and 135°).
Moreover, the general model transformation and bounding technique may be the sources of conservatism results; to further improve the performance of delay-dependent stability criteria, much effort has been devoted recently to the development of the free weighting matrices method [24], in which neither the bounding technique nor model transformation is employed.
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For the matrix exponential of small matrices, methods such as Schur decomposition and Padé approximants may be applied [ 31].
How the modern punch matrix method came into being remains unknown, Mr. Needham said.
Transfer matrix method.
Fig. 7 Convergence of the matrix method.
Generally, there are two methods, namely transfer matrix method and assemble matrix method, for obtaining the dispersion relations in laminates.
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