• Corpus ID: 246016058

Hermite-Padé approximation and integrability

  title={Hermite-Pad{\'e} approximation and integrability},
  author={Adam Doliwa and Artur Siemaszko},
We show that solution to the Hermite–Padé type I approximation problem leads in a natural way to a subclass of solutions of the Hirota (discrete Kadomtsev–Petviashvili) system and of its adjoint linear problem. Our result explains the appearence of various ingredients of the integrable systems theory in application to multiple orthogonal polynomials, numerical algorthms, random matrices, and in other branches of mathematical physics and applied mathematics where the Hermite–Padé approximation… 
1 Citations

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    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2009
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