A quadrature framework for solving Lyapunov and Sylvester equations
Sign Up to like & getrecommendations! Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.03.029
Abstract: Abstract This paper introduces a novel framework for the solution of (large-scale) Lyapunov and Sylvester equations derived from numerical integration methods. Suitable systems of ordinary differential equations are introduced. Low rank approximations of their solutions… read more here.
Keywords: quadrature framework; sylvester equations; framework solving; lyapunov sylvester ... See more keywords
Terminal computing for Sylvester equations solving with application to intelligent control of redundant manipulators
Sign Up to like & getrecommendations! Published in 2019 at "Neurocomputing"
DOI: 10.1016/j.neucom.2019.01.024
Abstract: Abstract Sylvester matrix equations are widely used in many engineering fields. When referred to the time-varying Sylvester, the computational time increases sharply because of the heavy burden calculations for not satisfying the computational requirement. Recently,… read more here.
Keywords: time varying; time; sylvester; sylvester equations ... See more keywords
Solvability conditions for mixed sylvester equations in rings
Sign Up to like & getrecommendations! Published in 2017 at "Filomat"
DOI: 10.2298/fil1718539c
Abstract: This paper has been motivated by Wang and He [Q.W. Wang and Z.H. He, Solvability conditions and general solution for mixed Sylvester equations. Automatica, 49 (2013) 2713-2719] in which the authors consider some solvability conditions for… read more here.
Keywords: conditions mixed; equations rings; solvability; mixed sylvester ... See more keywords
A Parallel Two-Stage Iteration Method for Solving Continuous Sylvester Equations
Sign Up to like & getrecommendations! Published in 2017 at "Algorithms"
DOI: 10.3390/a10030095
Abstract: In this paper we propose a parallel two-stage iteration algorithm for solving large-scale continuous Sylvester equations. By splitting the coefficient matrices, the original linear system is transformed into a symmetric linear system which is then… read more here.
Keywords: iteration; two stage; parallel two; continuous sylvester ... See more keywords