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Remarks on inverse of matrix polynomials

Fischer, Cyril, Náprstek, Jiří (2017)

Programs and Algorithms of Numerical Mathematics

Analysis of a non-classically damped engineering structure, which is subjected to an external excitation, leads to the solution of a system of second order ordinary differential equations. Although there exists a large variety of powerful numerical methods to accomplish this task, in some cases it is convenient to formulate the explicit inversion of the respective quadratic fundamental system. The presented contribution uses and extends concepts in matrix polynomial theory and proposes an implementation...

Représentation conforme et courbes presque lipschitziennes

Michel Zinsmeister (1984)

Annales de l'institut Fourier

Nous étudions la représentation conforme des domaines simplement connexes du plan dont le bord est une courbe presque lipschitzienne au sens de G. David, ainsi que le problème de l’approximation de ces domaines par des domaines de Lavrentiev.

Representations of Inverse Functions by the Integral Transform with the Sign Kernel

Yamada, Masato, Matsuura, Tsutomu, Saitoh, Saburou (2007)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: Primary 30C40In this paper we give practical and numerical representations of inverse functions by using the integral transform with the sign kernel, and show corresponding numerical experiments by using computers. We derive a very simple formula from a general idea for the representation of the inverse functions, based on the theory of reproducing kernels.

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