Full-column rank solutions of the matrix equation \(AV\)=\(EVJ\)

DOI10.1016/S0096-3003(03)00538-1zbMath1055.15025MaRDI QIDQ1827025

Guang-Ren Duan, Steve Thompson, Xian Zhang

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

linear matrix equationsdescriptor liner systemfull-rank solutionsregular matrix pair

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Matrix equations and identities (15A24) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

The general Hermitian nonnegative-definite and positive-definite solutions to the matrix equation \(GXG^{\ast} + HY H^{\ast}=C\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Chebyshev solution of the linear matrix equation \(AX+YB=C\)
• The \(\ell_p\)-solution of the linear matrix equation \(AX+YB=C\)
• Singular value and generalized singular value decompositions and the solution of linear matrix equations
• Symmetric, positive semidefinite, and positive definite real solutions of \(AX=XA^ T\) and \(AX=YB\)
• Nonsingular solutions of TA-BT=C
• Independence distribution preserving covariance structures for the multivariate linear model
• On solutions of matrix equation \(AXB+CYD=F\)
• Nonnegative-definite and positive-definite solutions to the matrix equation \(\mathbb{A}\times\mathbb{A}^*=\mathbb{B}\) -- revisited
• Linear matrix equations from an inverse problem of vibration theory
• A survey of linear singular systems
• A complete analytical solution to the equation<tex>TA - FT = LC</tex>and its applications