Optimal Rational Functions for the Generalized Zolotarev Problem in the Complex Plane

DOI10.1137/S0036142999360688zbMath0993.30022OpenAlexW2066409146MaRDI QIDQ2706369

B. Le Bailly, Jean-Philippe Thiran

Publication date: 19 March 2001

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142999360688

zbMATH Keywords

rational functionZolotarev problemcomplex Chebyshev approximationgeneralized ADI method

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Iterative numerical methods for linear systems (65F10) Approximation by rational functions (41A20) Elliptic functions and integrals (33E05)

Related Items (6)

Improved ParaDiag via low-rank updates and interpolation ⋮ On the generalized ADI method for the matrix equation \(X- AXB\)=\(C\) ⋮ On convergence of Krylov subspace approximations of time-invariant self-adjoint dynamical systems ⋮ Low-Rank Updates and a Divide-And-Conquer Method for Linear Matrix Equations ⋮ Zolotarev Iterations for the Matrix Square Root ⋮ Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection

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