ON BLOCK MATRICES ASSOCIATED WITH DISCRETE TRIGONOMETRIC TRANSFORMS AND THEIR USE IN THE THEORY OF WAVE PROPAGATION |
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| Authors: | Nikolaos LTsitsas School of Applied Mathematical Physical Sciences National Technical University of Athens Iroon Polytechniou GR- Athens Greece |
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| Institution: | Nikolaos L.Tsitsas School of Applied Mathematical and Physical Sciences,National Technical University of Athens,Iroon Polytechniou 9,GR-15780,Athens,Greece |
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| Abstract: | Block matrices associated with discrete Trigonometric transforms (DTT's) arise in the mathematical modelling of several applications of wave propagation theory including discretizations of scatterers and radiators with the Method of Moments,the Boundary Element Method,and the Method of Auxiliary Sources.The DTT's are represented by the Fourier,Hartley,Cosine,and Sine matrices,which are unitary and offer simultaneous diagonalizations of specific matrix algebras.The main tool for the investigation of the afor... |
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| Keywords: | Discrete Trigonometric transforms Block matrices Efficient inversion algorithms Wave radiation and scattering Numerical methods in wave propagation theory |
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