A Perturbation Analysis of the Generalized Sylvester Equation $( AR - LB,DR - LE ) = ( C,F )$
From MaRDI portal
Publication:4313364
DOI10.1137/S0895479893246212zbMath0805.65045MaRDI QIDQ4313364
Publication date: 16 November 1994
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
numerical examplescondition numbererror boundsSylvester equationmatrix pencilsperturbation boundsbackward erroreigendecompositions
Related Items
Perturbation analysis for the periodic generalized coupled Sylvester equation ⋮ Backward errors and small-sample condition estimation for ⋆-Sylveter equations ⋮ On estimating the separation of two regular matrix pairs ⋮ A relaxed gradient based algorithm for solving generalized coupled Sylvester matrix equations ⋮ Backward error for the discrete-time algebraic Riccati equation ⋮ On parameter and state estimation for linear differential--algebraic equations ⋮ A constraint system of generalized Sylvester quaternion matrix equations ⋮ An efficient algorithm for the solution of a coupled Sylvester equation appearing in descriptor systems ⋮ Effective condition numbers and small sample statistical condition estimation for the generalized Sylvester equation ⋮ Systems of coupled generalized Sylvester matrix equations ⋮ Solvability of perturbation solutions in DSGE models ⋮ Unnamed Item ⋮ Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product ⋮ A direct method for solving projected generalized continuous-time Sylvester equations ⋮ Iterative least-squares solutions of coupled sylvester matrix equations ⋮ On the solutions of two systems of quaternion matrix equations ⋮ Perturbation analysis for the matrix least squares problem \(A X B = C\) ⋮ A computational framework of gradient flows for general linear matrix equations ⋮ Determinantal representations of the solutions to systems of generalized Sylvester equations ⋮ Computing eigenspaces with specified eigenvalues of a regular matrix pair \((A,B)\) and condition estimation: Theory, algorithms and software ⋮ Backward error and condition number of a generalized Sylvester equation, with application to the stochastic Galerkin method ⋮ Dynamics analysis of fractional-order Hopfield neural networks ⋮ Numerical solutions for coupled trapezoidal fully fuzzy Sylvester matrix equations ⋮ Coupled Sylvester-type Matrix Equations and Block Diagonalization ⋮ The ubiquitous Kronecker product ⋮ Solvability conditions for mixed sylvester equations in rings ⋮ Numerical solution and perturbation theory for generalized Lyapunov equations