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Perturbation theory and backward error forAX−XB=C

https://doi.org/10.1007/bf01990348

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What this work says

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

inferredcites →https://doi.org/10.1016/0024-3795(77)90019-2openalex-snapshot

Nonsingular solutions of TA−BT=C

inferredcites →https://doi.org/10.1016/0024-3795(87)90118-2openalex-snapshot

Computing real square roots of a real matrix

inferredcites →https://doi.org/10.1016/0024-3795(88)90200-5openalex-snapshot

The matrix equation XA − BX = R and its applications

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/10.1016/0024-3795(92)90046-dopenalex-snapshot

Componentwise perturbation theory for linear systems with multiple right-hand sides

inferredcites →https://doi.org/10.1016/0893-9659(88)90183-8openalex-snapshot

Iterative solution of the Lyapunov matrix equation

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Topics in Matrix Analysis

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The vec-permutation matrix, the vec operator and Kronecker products: a review

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Iterative Refinement Implies Numerical Stability for Gaussian Elimination

inferredcites →https://doi.org/10.1093/imanum/12.1.1openalex-snapshot

Stability of Methods for Matrix Inversion

inferredcites →https://doi.org/10.1109/tac.1979.1102170openalex-snapshot

A Hessenberg-Schur method for the problem AX + XB= C

inferredcites →https://doi.org/10.1109/tac.1984.1103389openalex-snapshot

A LINPACK-style condition estimator for the equation AX-XB^{T} = C

inferredcites →https://doi.org/10.1137/0326018openalex-snapshot

The Sensitivity of the Stable Lyapunov Equation

inferredcites →https://doi.org/10.1137/0610013openalex-snapshot

Solving Sparse Linear Systems with Sparse Backward Error

inferredcites →https://doi.org/10.1137/0613002openalex-snapshot

Constrained Matrix Sylvester Equations

inferredcites →https://doi.org/10.1137/0613009openalex-snapshot

Distributed and Shared Memory Block Algorithms for the Triangular Sylvester Equation with $\operatorname{sep}^{ - 1} $ Estimators

inferredcites →https://doi.org/10.1137/0613014openalex-snapshot

Backward Error and Condition of Structured Linear Systems

inferredcites →https://doi.org/10.1137/0716016openalex-snapshot

On the Separation of Two Matrices

inferredcites →https://doi.org/10.1137/0905023openalex-snapshot

Condition Estimates

inferredcites →https://doi.org/10.1137/0911047openalex-snapshot

Experience with a Matrix Norm Estimator

inferredcites →https://doi.org/10.1137/1.9780898719604openalex-snapshot

LAPACK Users' Guide

inferredcites →https://doi.org/10.1137/1015095openalex-snapshot

Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems

inferredcites →https://doi.org/10.1145/321406.321416openalex-snapshot

On the Compatibility of a Given Solution With the Data of a Linear System

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/10.1145/50063.214386openalex-snapshot

FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation

inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot

Matrix Computations

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