On the matrix equation \(AX=B\) with applications to the generators of a controllability matrix
From MaRDI portal
Publication:1087956
DOI10.1016/0024-3795(87)90217-5zbMath0612.15006OpenAlexW1998614804MaRDI QIDQ1087956
Publication date: 1987
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(87)90217-5
Controllability (93B05) Matrix equations and identities (15A24) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (19)
Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\) ⋮ Extreme ranks of the solution to a consistent system of linear quaternion matrix equations with an application ⋮ Extremal ranks of a quaternion matrix expression subject to consistent systems of quaternion matrix equations with applications ⋮ Least-norm and Extremal Ranks of the Least Square Solution to the Quaternion Matrix Equation AXB=C Subject to Two Equations ⋮ Minimal ranks of some quaternion matrix expressions with applications ⋮ The maximal and minimal ranks of a quaternion matrix expression with applications ⋮ The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations ⋮ Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation \(AX=B\) ⋮ On extremal ranks and least squares solutions subject to a rank restriction ⋮ Ranks of the common solution to six quaternion matrix equations ⋮ A system of matrix equations with five variables ⋮ Equations \(ax = c\) and \(xb = d\) in rings and rings with involution with applications to Hilbert space operators ⋮ The \((P,Q)\)-(skew)symmetric extremal rank solutions to a system of quaternion matrix equations ⋮ Extremal ranks of the solution to a system of real quaternion matrix equations ⋮ The Common Solution of Some Matrix Equations ⋮ Ranks and the least-norm of the general solution to a system of quaternion matrix equations ⋮ Fixed rank solutions of the matrix equation with statistical applications ⋮ Maximal and Minimal Ranks of the Common Solution of Some Linear Matrix Equations over an Arbitrary Division Ring with Applications ⋮ Ranks of Solutions of the Matrix Equation AXB = C
Cites Work
This page was built for publication: On the matrix equation \(AX=B\) with applications to the generators of a controllability matrix