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Alternating Direction Implicit Iteration for Systems with Complex Spectra

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inferredcites →https://doi.org/10.1016/0021-9045(81)90102-7openalex-snapshot
Near-circularity of the error curve in complex Chebyshev approximation
inferredcites →https://doi.org/10.1016/0898-1221(91)90124-mopenalex-snapshot
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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/10.1109/tmag.1984.1063299openalex-snapshot
Infinitesimal scaling--A new procedure for modeling exterior field problems
inferredcites →https://doi.org/10.1137/0103003openalex-snapshot
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inferredcites →https://doi.org/10.1137/0116017openalex-snapshot
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inferredcites →https://doi.org/10.2307/2005029openalex-snapshot
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inferredcites →https://doi.org/10.5555/324493.324607openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/gamm.201310002openalex-snapshot
Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection
inferred← citeshttps://doi.org/10.1002/gamm.202000018openalex-snapshot
Iterative and doubling algorithms for Riccati‐type matrix equations: A comparative introduction
inferred← citeshttps://doi.org/10.1002/nla.1936openalex-snapshot
A new subspace iteration method for the algebraic Riccati equation
inferred← citeshttps://doi.org/10.1002/nla.622openalex-snapshot
Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems
inferred← citeshttps://doi.org/10.1007/3-540-27909-1_2openalex-snapshot
Smith-Type Methods for Balanced Truncation of Large Sparse Systems
inferred← citeshttps://doi.org/10.1007/978-1-4614-5122-8_1openalex-snapshot
The Peaceman–Rachford Model Problem
inferred← citeshttps://doi.org/10.1007/978-3-030-34949-3_4openalex-snapshot
Optimal Linear-Quadratic Controller Design
inferred← citeshttps://doi.org/10.1007/978-3-319-41589-5_11openalex-snapshot
A Parameter Free ADI-Like Method for the Numerical Solution of Large Scale Lyapunov Equations
inferred← citeshttps://doi.org/10.1007/978-3-540-78841-6_1openalex-snapshot
Introduction to Model Order Reduction
inferred← citeshttps://doi.org/10.1007/bf01385695openalex-snapshot
A generalized ADI iterative method
inferred← citeshttps://doi.org/10.1007/s002110050372openalex-snapshot
Optimum parameters for the generalized ADI method
inferred← citeshttps://doi.org/10.1007/s10444-020-09766-2openalex-snapshot
Combined error estimates for local fluctuations of SPDEs
inferred← citeshttps://doi.org/10.1007/s10589-008-9192-7openalex-snapshot
Approximation of low rank solutions for linear quadratic control of partial differential equations
inferred← citeshttps://doi.org/10.1007/s11075-011-9525-yopenalex-snapshot
Bi-parameter incremental unknowns ADI iterative methods for elliptic problems
inferred← citeshttps://doi.org/10.1016/0021-9045(92)90059-wopenalex-snapshot
Near-circularity for the rational Zolotarev problem in the complex plane
inferred← citeshttps://doi.org/10.1016/0024-3795(92)90031-5openalex-snapshot
Krylov-subspace methods for the Sylvester equation
inferred← citeshttps://doi.org/10.1016/0024-3795(94)00155-3openalex-snapshot
Numerical solution of the Lyapunov equation by approximate power iteration
inferred← citeshttps://doi.org/10.1016/0306-4549(92)90016-5openalex-snapshot
Optimum parameters for two-variable ADI iteration
inferred← citeshttps://doi.org/10.1016/j.amc.2006.02.021openalex-snapshot
Preconditioned Galerkin and minimal residual methods for solving Sylvester equations
inferred← citeshttps://doi.org/10.1016/j.amc.2006.05.101openalex-snapshot
Optimal Alternating Direction Implicit Preconditioners for Conjugate Gradient methods
inferred← citeshttps://doi.org/10.1016/j.cam.2009.08.108openalex-snapshot
On the ADI method for Sylvester equations
inferred← citeshttps://doi.org/10.1016/j.cam.2014.02.025openalex-snapshot
On normal and skew-Hermitian splitting iteration methods for large sparse continuous Sylvester equations
inferred← citeshttps://doi.org/10.1016/j.camwa.2007.04.048openalex-snapshot
Trail to a Lyapunov equation solver
inferred← citeshttps://doi.org/10.1016/j.procs.2013.05.202openalex-snapshot
Parallelizing Alternating Direction Implicit Solver on GPUs
inferred← citeshttps://doi.org/10.1016/j.tpb.2026.09.002openalex-snapshot
Pairwise coalescence times under the structured coalescent: A computational overview
inferred← citeshttps://doi.org/10.1016/s0076-5392(06)80079-2openalex-snapshot
Chapter Seven Iterative methods and parallel algorithms
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
inferred← citeshttps://doi.org/10.1023/a:1022205420182openalex-snapshot
A Modified Low-Rank Smith Method for Large-Scale Lyapunov Equations
inferred← citeshttps://doi.org/10.1109/aspdac.2001.913305openalex-snapshot
Balanced truncation with spectral shaping for RLC interconnects
inferred← citeshttps://doi.org/10.1109/cdc.2006.377430openalex-snapshot
Iterative Solution of Algebraic Riccati Equations for Damped Systems
inferred← citeshttps://doi.org/10.1109/dac.1999.781220openalex-snapshot
An efficient Lyapunov equation-based approach for generating reduced-order models of interconnect
inferred← citeshttps://doi.org/10.1109/iccad.1999.810679openalex-snapshot
Efficient model reduction of interconnect via approximate system gramians
inferred← citeshttps://doi.org/10.1109/tcsi.2005.859772openalex-snapshot
Model-order reduction using variational balanced truncation with spectral shaping
inferred← citeshttps://doi.org/10.1137/06066120xopenalex-snapshot
A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
inferred← citeshttps://doi.org/10.1137/0728074openalex-snapshot
Optimal Alternating Direction Implicit Parameters for Nonsymmetric Systems of Linear Equations
inferred← citeshttps://doi.org/10.1137/0732009openalex-snapshot
On the Third and Fourth Zolotarev Problems in the Complex Plane
inferred← citeshttps://doi.org/10.1137/080715159openalex-snapshot
On Optimal Convergence Rate of the Rational Krylov Subspace Reduction for Electromagnetic Problems in Unbounded Domains
inferred← citeshttps://doi.org/10.1137/100813257openalex-snapshot
Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation
inferred← citeshttps://doi.org/10.1137/120900204openalex-snapshot
An Error Analysis of Galerkin Projection Methods for Linear Systems with Tensor Product Structure
inferred← citeshttps://doi.org/10.1137/130912839openalex-snapshot
Computational Methods for Linear Matrix Equations
inferred← citeshttps://doi.org/10.1137/16m1062788openalex-snapshot
Isogeometric Preconditioners Based on Fast Solvers for the Sylvester Equation
inferred← citeshttps://doi.org/10.1137/24m1687960openalex-snapshot
Computation of Zolotarev Rational Functions
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/s0036144504443389openalex-snapshot
Low-Rank Solution of Lyapunov Equations
inferred← citeshttps://doi.org/10.1137/s0895479801384937openalex-snapshot
Low Rank Solution of Lyapunov Equations
inferred← citeshttps://doi.org/10.1137/s0895479894273687openalex-snapshot
Application of ADI Iterative Methods to the Restoration of Noisy Images
inferred← citeshttps://doi.org/10.1137/s1064827598347666openalex-snapshot
A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
inferred← citeshttps://doi.org/10.1145/1055531.1055539openalex-snapshot
Algorithm 841: BHESS: Gaussian reduction to a similar banded Hessenberg form
inferred← citeshttps://doi.org/10.1145/309847.309848openalex-snapshot
An efficient Lyapunov equation-based approach for generating reduced-order models of interconnect
inferred← citeshttps://doi.org/10.1145/370155.370323openalex-snapshot
Balanced truncation with spectral shaping for RLC interconnects
inferred← citeshttps://doi.org/10.11948/2016040openalex-snapshot
A NEW VERSION OF THE SMITH METHOD FOR SOLVING SYLVESTER EQUATION AND DISCRETE-TIME SYLVESTER EQUATION
inferred← citeshttps://doi.org/10.1201/9781420027426.ch20openalex-snapshot
Solution of Algebraic Riccati Equations Arising in Control of Partial Differential Equations
inferred← citeshttps://doi.org/10.1515/9783110883237.3913openalex-snapshot
Toward an efficient and stable determination of spectra of a general matrix and a more efficient solution of the Lyapunov equation
inferred← citeshttps://doi.org/10.22215/etd/2014-10528openalex-snapshot
Advanced Model-Order Reduction Techniques for Large Scale Dynamical Systems
inferred← citeshttps://doi.org/10.4208/jcm.v25.n5.p531openalex-snapshot
A QR Decomposition Based Solver for the Least Squares Problems from the Minimal Residual Method for the Sylvester Equation
inferred← citeshttps://doi.org/10.5555/339492.340044openalex-snapshot
Efficient model reduction of interconnect via approximate system gramians
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