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On a class of Chebyshev approximation problems which arise in connection with a conjugate gradient type method

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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-642-05156-2openalex-snapshot
Matrix Iterative Analysis
inferredcites →https://doi.org/10.1007/978-3-642-85643-3openalex-snapshot
Approximation of Functions: Theory and Numerical Methods
inferredcites →https://doi.org/10.1007/978-3-642-85972-4_4openalex-snapshot
A Generalized Conjugate Gradient Method for Nonsymmetric Systems of Linear Equations
inferredcites →https://doi.org/10.1007/bf01386013openalex-snapshot
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods
inferredcites →https://doi.org/10.1007/bf01386014openalex-snapshot
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods
inferredcites →https://doi.org/10.1007/bf01390212openalex-snapshot
The analysis ofk-step iterative methods for linear systems from summability theory
inferredcites →https://doi.org/10.1007/bf02418550openalex-snapshot
Über Einen Sat’z des Herrn Serge Bernstein
inferredcites →https://doi.org/10.1016/0024-3795(84)90219-2openalex-snapshot
Richardson's iteration for nonsymmetric matrices
inferredcites →https://doi.org/10.1090/s0002-9939-1976-0402016-4openalex-snapshot
Some inequalities for polynomials
inferredcites →https://doi.org/10.1137/0109056openalex-snapshot
A Unified Approach to Certain Problems of Approximation and Minimization
inferredcites →https://doi.org/10.1137/0715053openalex-snapshot
A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0720023openalex-snapshot
Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0721026openalex-snapshot
Necessary and Sufficient Conditions for the Existence of a Conjugate Gradient Method
inferredcites →https://doi.org/10.2307/2003862openalex-snapshot
Matrix Iterative Analysis
inferredcites →https://doi.org/10.4153/cjm-1982-066-7openalex-snapshot
On an Inequality of S. Bernstein

What points at this work

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

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Quasi-Kernel Polynomials and Convergence Results for Quasi-Minimal Residual Iterations
inferred← citeshttps://doi.org/10.1007/bf01061265openalex-snapshot
Polynomial approximation of functions of matrices and applications
inferred← citeshttps://doi.org/10.1007/bf01386412openalex-snapshot
On conjugate gradient type methods and polynomial preconditioners for a class of complex non-hermitian matrices
inferred← citeshttps://doi.org/10.1007/bf01397553openalex-snapshot
The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems
inferred← citeshttps://doi.org/10.1007/bf02075452openalex-snapshot
On some approximation problems for complex polynomials
inferred← citeshttps://doi.org/10.1007/bf02678468openalex-snapshot
Explicit Generalized Zolotarev Polynomials with Complex Coefficients
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A complex extremal problem of chebyshev type
inferred← citeshttps://doi.org/10.1007/bf02836112openalex-snapshot
On polynomial approximations to f a (Z)(z-a)−1 with complex a and some applications to certain non-hermitian matrices
inferred← citeshttps://doi.org/10.1007/bfb0087896openalex-snapshot
On bernstein type inequalities and a weighted chebyshev approximation problem on ellipses
inferred← citeshttps://doi.org/10.1007/pl00005392openalex-snapshot
The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
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The conformal ‘bratwurst’ mapsand associated Faber polynomials
inferred← citeshttps://doi.org/10.1007/s11139-021-00500-0openalex-snapshot
Asymptotics of Chebyshev polynomials, V. residual polynomials
inferred← citeshttps://doi.org/10.1016/0021-9045(90)90054-topenalex-snapshot
On the constrained Chebyshev approximation problem on ellipses
inferred← citeshttps://doi.org/10.1016/0022-247x(87)90167-3openalex-snapshot
Iterative k-step methods for computing possibly repulsive fixed points in Banach spaces
inferred← citeshttps://doi.org/10.1016/j.jat.2017.07.007openalex-snapshot
The growth of polynomials outside of a compact set—The Bernstein–Walsh inequality revisited
inferred← citeshttps://doi.org/10.1016/j.jat.2021.105539openalex-snapshot
A dual-type problem to Christoffel function
inferred← citeshttps://doi.org/10.1017/s0962492900002245openalex-snapshot
Iterative solution of linear systems
inferred← citeshttps://doi.org/10.1017/s0962492915000021openalex-snapshot
Preconditioning
inferred← citeshttps://doi.org/10.1023/a:1019113314010openalex-snapshot
Upper bounds for convergence rates of acceleration methods with initial iterations
inferred← citeshttps://doi.org/10.1090/s0002-9939-09-09771-8openalex-snapshot
Extremal problems of Chebyshev type
inferred← citeshttps://doi.org/10.1137/20m1333018openalex-snapshot
Preconditioning the Mass Matrix for High Order Finite Element Approximation on Tetrahedra
inferred← citeshttps://doi.org/10.1137/21m1458594openalex-snapshot
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs
inferred← citeshttps://doi.org/10.1137/s0036142999360688openalex-snapshot
Optimal Rational Functions for the Generalized Zolotarev Problem in the Complex Plane
inferred← citeshttps://doi.org/10.1137/s106482759529382xopenalex-snapshot
An Iteration for Indefinite Systems and Its Application to the Navier--Stokes Equations
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