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Orthogonal decomposition of derivatives and antiderivatives for easy evaluation of extended Gram matrix

Abstract : Simple and efficient algorithms for orthogonal decomposition of derivatives and antiderivatives of a function with rational Laplace transform are proposed. Based on a new theorem related to Routh alpha-beta expansion, they enable direct evaluation of the extended Gram matrix which has proved to be very useful in model-reduction applications.
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https://hal.archives-ouvertes.fr/hal-00174253
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Submitted on : Friday, February 21, 2014 - 2:56:47 PM
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Mihai Telescu, Pascale Bréhonnet, Noël Tanguy, Pierre Vilbé, Léon-Claude Calvez. Orthogonal decomposition of derivatives and antiderivatives for easy evaluation of extended Gram matrix. Signal Processing, Elsevier, 2006, 86 (11), pp.3486-3489. ⟨10.1016/j.sigpro.2006.06.007⟩. ⟨hal-00174253⟩

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