On solutions of the matrix equations \(KX - EXF = BY\) and \(MXF^2 + DXF + KX = BY\)

DOI10.1016/j.crma.2012.10.011zbMath1257.15010OpenAlexW1995736873MaRDI QIDQ1759421

Yongxin Yuan, Jiashang Jiang

Publication date: 20 November 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.10.011

zbMATH Keywords

explicit solutionsmatrix transformationmatrix equationsminimal polynomialgeneralized Sylvester equations

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Linear transformations, semilinear transformations (15A04)

Related Items (2)

Convergence properties of BCR method for generalized Sylvester matrix equation over generalized reflexive and anti-reflexive matrices ⋮ Convergence of HS version of BCR algorithm to solve the generalized Sylvester matrix equation over generalized reflexive matrices

Cites Work

• Unnamed Item
• Solution to matrix equation \(AV + BW = EVF\) and eigenstructure assignment for descriptor systems
• Iterative least-squares solutions of coupled sylvester matrix equations
• A new solution to the generalized Sylvester matrix equation \(AV-EVF=BW\)
• Robust and well-conditioned eigenstructure assignment via sylvester's equation
• On the solution to the Sylvester matrix equation AV+BW=EVF
• Numerically robust pole assignment for second-order systems
• Two parametric approaches for eigenstructure assignment in second-order linear systems
• Solution to the second-order Sylvester matrix equation MVF/sup 2/+DVF+KV=BW
• Solutions of the equation AV+BW=VF and their application to eigenstructure assignment in linear systems
• Convergence Analysis of Structure-Preserving Doubling Algorithms for Riccati-Type Matrix Equations
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix

This page was built for publication: On solutions of the matrix equations \(KX - EXF = BY\) and \(MXF^2 + DXF + KX = BY\)