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On the Third and Fourth Zolotarev Problems in the Complex Plane

https://doi.org/10.1137/0732009

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-94-009-6466-2_11openalex-snapshot

Applications of Transformation Theory: A Legacy from Zolotarev (1847–1878)

inferredcites →https://doi.org/10.1007/978-94-009-7121-9_3openalex-snapshot

On Complex Rational Approximation

inferredcites →https://doi.org/10.1007/bf01229337openalex-snapshot

Optimality and uniqueness conditions in complex rational Chebyshev approximation with examples

inferredcites →https://doi.org/10.1007/bf01263066openalex-snapshot

Optimal ray sequences of rational functions connected with the Zolotarev problem

inferredcites →https://doi.org/10.1007/bf01890036openalex-snapshot

A characterization of best complex rational approximants in a fundamental case

inferredcites →https://doi.org/10.1007/bf02108464openalex-snapshot

On computing best Chebyshev complex rational approximants

inferredcites →https://doi.org/10.1016/0021-9045(78)90081-3openalex-snapshot

Nonuniqueness of best complex rational approximations to real functions on real intervals

inferredcites →https://doi.org/10.1016/0021-9045(81)90093-9openalex-snapshot

The length of the alternation set as a factor in determining when a best real rational approximation is also a best complex rational approximation

inferredcites →https://doi.org/10.1016/0021-9045(83)90099-0openalex-snapshot

Nonuniqueness of best rational Chebyshev approximations on the unit disk

inferredcites →https://doi.org/10.1016/0021-9045(92)90059-wopenalex-snapshot

Near-circularity for the rational Zolotarev problem in the complex plane

inferredcites →https://doi.org/10.1016/0041-5553(77)90036-2openalex-snapshot

On a Zolotarev problem in the method of alternating directions

inferredcites →https://doi.org/10.1016/0306-4549(92)90016-5openalex-snapshot

Optimum parameters for two-variable ADI iteration

inferredcites →https://doi.org/10.1016/0377-0427(93)90291-iopenalex-snapshot

Fejér-Walsh points for rational functions and their use in the ADI iterative method

inferredcites →https://doi.org/10.1016/b978-0-12-407475-0.50021-8openalex-snapshot

The ADI Minimax Problem for Complex Spectra

inferredcites →https://doi.org/10.1070/sm1969v007n04abeh001107openalex-snapshot

ZOLOTAREV PROBLEMS CONNECTED WITH RATIONAL FUNCTIONS

inferredcites →https://doi.org/10.1070/sm1993v076n01abeh003408openalex-snapshot

$ L_p$ EXTENSIONS OF GONCHAR'S INEQUALITY FOR RATIONAL FUNCTIONS

inferredcites →https://doi.org/10.1090/mmono/079openalex-snapshot

Elements of the Theory of Elliptic Functions

inferredcites →https://doi.org/10.1137/0728045openalex-snapshot

Alternating Direction Implicit Iteration for Systems with Complex Spectra

inferredcites →https://doi.org/10.1137/0728074openalex-snapshot

Optimal Alternating Direction Implicit Parameters for Nonsymmetric Systems of Linear Equations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Smith-Type Methods for Balanced Truncation of Large Sparse Systems

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The Peaceman–Rachford Model Problem

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Model Problems and Preconditioning

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Polynomials Versus Finite Blaschke Products

inferred← citeshttps://doi.org/10.1007/s002110050372openalex-snapshot

Optimum parameters for the generalized ADI method

inferred← citeshttps://doi.org/10.1016/j.cam.2014.08.028openalex-snapshot

Chebyshev–Blaschke products: Solutions to certain approximation problems and differential equations

inferred← citeshttps://doi.org/10.1016/j.camwa.2007.04.048openalex-snapshot

Trail to a Lyapunov equation solver

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Fast and inverse-free algorithms for deflating subspaces

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On the generalized ADI method for the matrix equation X−AXB=C

inferred← citeshttps://doi.org/10.1109/iecon51785.2023.10312537openalex-snapshot

Modelling Periodic Measurement Data Having a Piecewise Polynomial Trend Using the Method of Variable Projection

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On Optimal Convergence Rate of the Rational Krylov Subspace Reduction for Electromagnetic Problems in Unbounded Domains

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Superfast Direct Inversion of the Nonuniform Discrete Fourier Transform via Hierarchically Semiseparable Least Squares

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Computation of Zolotarev Rational Functions

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

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Low-Rank Solution of Lyapunov Equations

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Low Rank Solution of Lyapunov Equations

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Minimax separation of the Cauchy kernel

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