The convolution of two rational transfer functions is also rational, but a formula for the convolution has never been derived. This paper introduces a formula for the convolution of two rational ...

Abstract: Several generalisations to the classical Gauss quadrature formulae have been developed over the last few years. When the integrand has singularities near the interval of integration, ...

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This note presents nearly-best rational approximations for the functions $I_0(x)$ and $I_1(x)$, with relative errors ranging down to $10^{-23}$. Journal Information ...

State-space models (SSMs) are crucial in deep learning for sequence modeling. They represent systems where the output depends on both current and past inputs. SSMs are widely applied in signal ...

For a rational matrix function Φ with poles outside the unit circle, we estimate the degree of the unique superoptimal approximation 𝒜Φ by matrix functions analytic in the unit disk. We obtain sharp ...