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On the numerical solution ofAX −XB =C

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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/bf01731935openalex-snapshot
Arnoldi-Riccati method for large eigenvalue problems
inferredcites →https://doi.org/10.1007/bf01990348openalex-snapshot
Perturbation theory and backward error forAX−XB=C
inferredcites →https://doi.org/10.1007/bf02523124openalex-snapshot
Krylov space methods on state-space control models
inferredcites →https://doi.org/10.1016/0022-0396(66)90044-1openalex-snapshot
Matrix calculations for Liapunov quadratic forms
inferredcites →https://doi.org/10.1016/0024-3795(77)90019-2openalex-snapshot
Nonsingular solutions of TA−BT=C
inferredcites →https://doi.org/10.1016/0024-3795(81)90301-3openalex-snapshot
Controllability, observability and the solution of AX - XB = C
inferredcites →https://doi.org/10.1016/0024-3795(86)90298-3openalex-snapshot
Computing stable eigendecompositions of matrices
inferredcites →https://doi.org/10.1016/0024-3795(91)90384-9openalex-snapshot
SOR for AX−XB=C
inferredcites →https://doi.org/10.1016/0024-3795(92)90031-5openalex-snapshot
Krylov-subspace methods for the Sylvester equation
inferredcites →https://doi.org/10.1017/cbo9780511840371openalex-snapshot
Topics in Matrix Analysis
inferredcites →https://doi.org/10.1109/tac.1979.1102170openalex-snapshot
A Hessenberg-Schur method for the problem AX + XB= C
inferredcites →https://doi.org/10.1137/0114043openalex-snapshot
A Finite Series Solution of the Matrix Equation $AX - XB = C$
inferredcites →https://doi.org/10.1137/0123012openalex-snapshot
Resultants and the Solution of $AX - XB = - C$
inferredcites →https://doi.org/10.1137/0310020openalex-snapshot
Invariant Description of Linear, Time-Invariant Controllable Systems
inferredcites →https://doi.org/10.1137/0609047openalex-snapshot
Linear Matrix Equations Controllability and Observability, and the Rank of Solutions
inferredcites →https://doi.org/10.1137/0613050openalex-snapshot
A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0716016openalex-snapshot
On the Separation of Two Matrices
inferredcites →https://doi.org/10.1137/0731012openalex-snapshot
Krylov Subspace Methods for Solving Large Lyapunov Equations
inferredcites →https://doi.org/10.1137/0914029openalex-snapshot
A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems
inferredcites →https://doi.org/10.1137/1.9781611970739openalex-snapshot
Numerical Methods for Large Eigenvalue Problems
inferredcites →https://doi.org/10.1137/s0895479892239238openalex-snapshot
Preconditioned Krylov Subspace Methods for Lyapunov Matrix Equations
inferredcites →https://doi.org/10.1145/361573.361582openalex-snapshot
Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]

What points at this work

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

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A survey of subspace recycling iterative methods
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Numerical solution of parameter-dependent linear systems
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Recent computational developments in Krylov subspace methods for linear systems
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A Comparison of Subspace Methods for Sylvester Equations
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A Krylov Subspace Method for the Approximation of Bivariate Matrix Functions
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Two-sided Grassmann–Rayleigh quotient iteration
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Matrix-equation-based strategies for convection–diffusion equations
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Convex constrained optimization for large-scale generalized Sylvester equations
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On restarted and deflated block FOM and GMRES methods for sequences of shifted linear systems
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A note on the Davison–Man method for Sylvester matrix equations
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Analytic functional calculus for two operators
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LARGE-SCALE MATRIX COMPUTATIONS IN CONTROL: KRYLOV SUBSPACE METHODS
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Low rank approximate solutions to large Sylvester matrix equations
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A new version of successive approximations method for solving Sylvester matrix equations
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An implicit preconditioning strategy for large-scale generalized Sylvester equations
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A note on the iterative solutions of general coupled matrix equation
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Gradient adaptive parameter method for coupled matrix equations with applications in transient heat conduction problem and image steganography
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Use of near-breakdowns in the block Arnoldi method for solving large Sylvester equations
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Extended Krylov subspace for parameter dependent systems
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On the ADI method for Sylvester equations
inferred← citeshttps://doi.org/10.1016/j.cam.2019.02.009openalex-snapshot
A shifted complex global Lanczos method and the quasi-minimal residual variant for the Stein-conjugate matrix equation X+AX¯B=C
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A new approximation algorithm for solving generalized Lyapunov matrix equations
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Partitioned Krylov subspace iteration in implicit Runge–Kutta methods
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A Hessenberg method for the numerical solutions to types of block Sylvester matrix equations
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Updating the Lambda modes of a nuclear power reactor
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Lyapunov, Lanczos, and inertia
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The Sylvester equation and approximate balanced reduction
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inferred← citeshttps://doi.org/10.1016/s0378-4754(02)00091-5openalex-snapshot
Computing tall skinny solutions of AX−XB=C
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Approximation of Large-Scale Dynamical Systems: An Overview
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Universidad Central de Venezuela
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Block Krylov Subspace Methods for Solving Large Sylvester Equations
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A Convergence Analysis of Gmres and Fom Methods for Sylvester Equations
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Spectral decomposition based solutions to the matrix equation
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Extension of the Barzilai–Borwein Method for Quadratic Forms in Finite Euclidean Spaces
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Projection methods for large-scale T-Sylvester equations
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Transform DLF Algorithm to Solve Discrete Lyapunov Matrix Equations
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Krylov Subspace Methods for Large-Scale Constrained Sylvester Equations
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Computational Methods for Linear Matrix Equations
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Block Krylov Subspace Recycling for Shifted Systems with Unrelated Right-Hand Sides
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Adaptive Eigenvalue Computations Using Newton's Method on the Grassmann Manifold
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On the Numerical Solution of $(\lambda^2 A + \lambda B + C), x = b$ and Application to Structural Dynamics
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A NEW VERSION OF THE SMITH METHOD FOR SOLVING SYLVESTER EQUATION AND DISCRETE-TIME SYLVESTER EQUATION
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New SOR-like methods for solving the Sylvester equation
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Energy-Adaptive Riemannian Conjugate Gradient Method for Density Functional Theory
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Matrix-equation-based strategies for convection-diffusion equations
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