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What is Orthogonal Rational Functions Generation about?

This paper addresses the computation of recurrence coefficients for orthogonal rational functions through an inverse eigenvalue problem involving Hessenberg matrices. Two main procedures are proposed: one using rational Arnoldi iteration and another based on updating techniques, with the latter demonstrating numerical stability. The study also extends to biorthogonal rational functions, leading to a tridiagonal matrix formulation that offers efficiency but may introduce numerical instability.

Author

kangniu

Language

EN