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A generalized ADI iterative method
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Approximation theory and numerical linear algebra
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Foundations of Modern Potential Theory
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Applications of Transformation Theory: A Legacy from Zolotarev (1847–1878)
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A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations
inferredcites →https://doi.org/10.1007/bf01397475openalex-snapshot
Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration
inferredcites →https://doi.org/10.1007/bf02162159openalex-snapshot
On the rate of convergence of optimal ADI processes
inferredcites →https://doi.org/10.1007/bfb0060018openalex-snapshot
On the effects of scaling of the peaceman-rachford method
inferredcites →https://doi.org/10.1007/s002110050016openalex-snapshot
An adaptive Chebyshev iterative method\newline for nonsymmetric linear systems based on modified moments
inferredcites →https://doi.org/10.1016/0021-9045(72)90001-9openalex-snapshot
Rational approximation and n-dimensional diameter
inferredcites →https://doi.org/10.1016/0021-9045(73)90046-4openalex-snapshot
Rational interpolation with restricted poles
inferredcites →https://doi.org/10.1016/0024-3795(80)90169-xopenalex-snapshot
Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
inferredcites →https://doi.org/10.1016/0024-3795(91)90397-fopenalex-snapshot
Implementation of an adaptive algorithm for Richardson's method
inferredcites →https://doi.org/10.1016/0024-3795(92)90031-5openalex-snapshot
Krylov-subspace methods for the Sylvester equation
inferredcites →https://doi.org/10.1016/0024-3795(92)90374-jopenalex-snapshot
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
inferredcites →https://doi.org/10.1016/0168-9274(87)90044-4openalex-snapshot
The smoothing properties of the alternating direction implicit method in multigrid iterations
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(91)90027-hopenalex-snapshot
A parallel alternating direction implicit preconditioning 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/10.1016/s0065-2458(08)60620-8openalex-snapshot
Alternating Direction Implicit Methods
inferredcites →https://doi.org/10.1070/sm1969v007n04abeh001107openalex-snapshot
ZOLOTAREV PROBLEMS CONNECTED WITH RATIONAL FUNCTIONS
inferredcites →https://doi.org/10.1070/sm1989v062n02abeh003242openalex-snapshot
EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
inferredcites →https://doi.org/10.1090/coll/020openalex-snapshot
Interpolation and Approximation by Rational Functions in the Complex Domain
inferredcites →https://doi.org/10.1090/qam/42792openalex-snapshot
The principle of minimized iterations in the solution of the matrix eigenvalue problem
inferredcites →https://doi.org/10.1090/s0002-9947-1959-0105814-4openalex-snapshot
Implicit Alternating Direction Methods
inferredcites →https://doi.org/10.1090/s0025-5718-1971-0303754-8openalex-snapshot
On the effects of scaling of the Peaceman-Rachford method
inferredcites →https://doi.org/10.1098/rsta.1960.0001openalex-snapshot
Matrix and other direct methods for the solution of systems of linear difference equations
inferredcites →https://doi.org/10.1109/tac.1979.1102170openalex-snapshot
A Hessenberg-Schur method for the problem AX + XB= C
inferredcites →https://doi.org/10.1137/0103003openalex-snapshot
The Numerical Solution of Parabolic and Elliptic Differential Equations
inferredcites →https://doi.org/10.1137/0110025openalex-snapshot
Optimum Alternating-Direction-Implicit Iteration Parameters for a Model Problem
inferredcites →https://doi.org/10.1137/0111012openalex-snapshot
Chebyshev Approximation by $a\Pi \frac{{x - r_i }}{{x + s_i }}$ and Application to ADI Iteration
inferredcites →https://doi.org/10.1137/0111073openalex-snapshot
Extended Application of Alternating Direction Implicit Iteration Model Problem Theory
inferredcites →https://doi.org/10.1137/0613050openalex-snapshot
A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems
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
inferredcites →https://doi.org/10.1137/0905020openalex-snapshot
ADI as a Preconditioning for Solving the Convection-Diffusion Equation
inferredcites →https://doi.org/10.1137/0907057openalex-snapshot
A Hybrid Chebyshev Krylov Subspace Algorithm for Solving Nonsymmetric Systems of Linear Equations
inferredcites →https://doi.org/10.1145/361573.361582openalex-snapshot
Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]
inferredcites →https://doi.org/10.1215/s0012-7094-69-03614-xopenalex-snapshot
On interpolation by rational functions
inferredcites →https://doi.org/10.1512/iumj.1968.17.17017openalex-snapshot
The Modulus of a Plane Condenser
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection
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On inexact alternating direction implicit iteration for continuous Sylvester equations
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Low-Rank Cholesky Factor Krylov Subspace Methods for Generalized Projected Lyapunov Equations
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RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations
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Optimum parameters for the generalized ADI method
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Extremal Rational Functions on Symmetric Discrete Sets and Superlinear Convergence of the ADI Method
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Numerical solution of the Lyapunov equation by approximate power iteration
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Solution of underdetermined Sylvester equations in sensor array signal processing
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Incomplete partial fractions for parallel evaluation of rational matrix functions
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Newton’s method for solving cross-coupled sign-indefinite algebraic Riccati equations for weakly coupled large-scale systems
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On modified HSS iteration methods for continuous Sylvester equations
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A generalization of the Hermitian and skew-Hermitian splitting iteration method for solving Sylvester equations
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On normal and skew-Hermitian splitting iteration methods for large sparse continuous Sylvester equations
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Preconditioned HSS iteration method and its non-alternating variant for continuous Sylvester equations
inferred← citeshttps://doi.org/10.1016/j.camwa.2022.01.027openalex-snapshot
On circulant and skew-circulant splitting algorithms for (continuous) Sylvester equations
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The Lebesgue constants for Leja points are subexponential
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A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Sinc–Galerkin linear systems
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On the selection of poles in the single-input pole placement problem
inferred← citeshttps://doi.org/10.1016/s0377-0427(02)00917-2openalex-snapshot
On the generalized ADI method for the matrix equation X−AXB=C
inferred← citeshttps://doi.org/10.1016/s0377-0427(97)00149-0openalex-snapshot
Iterative methods for X − AXB = C
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Transfinite Diameter, Chebyshev Constant and Capacity
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Solution of under-determined Sylvester equations in sensor array signal processing
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Extrapolated PSS Iterative Method for Sub-positive Definite Quaternion Equations
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Optimal Rational Functions for the Generalized Zolotarev Problem in the Complex Plane
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Application of ADI Iterative Methods to the Restoration of Noisy Images
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A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
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A Generalized HSS Iteration Method for Continuous Sylvester Equations
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[Retracted] The MGHSS for Solving Continuous Sylvester Equation AX+XB=C
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A Fast Algorithm for Solving Tridiagonal Toeplitz Linear Systems with Iterative Refinement
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Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations
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A Parallel Two-Stage Iteration Method for Solving Continuous Sylvester Equations
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Shift-Splitting Iteration Method and Its Variants for Solving Continuous Sylvester Equations
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On Parseval equalities and boundedness properties for Kontorovich-Lebedev type operators
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A New Double-Step Iteration Method for Solving a Class of Complex Continuous Sylvester Equations
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