L-structured matrices and linear matrix equations∗
From MaRDI portal
Publication:3043310
DOI10.1080/03081088308817543zbMath0527.15006OpenAlexW2166083100WikidataQ126250493 ScholiaQ126250493MaRDI QIDQ3043310
Publication date: 1983
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://pure.uvt.nl/ws/files/649742/27742_6629.pdf
existence of solutionsMoore-Penrose inverseslinear matrix equationsdescription of the general solution
Related Items
A class of iteration methods for the matrix equation A×B = C ⋮ On the symmetric solutions of a linear matrix equation ⋮ On Symmetric and Skew-Symmetric Solutions to a Procrustes Problem ⋮ The matrix nearness problem for symmetric matrices associated with the matrix equation \([A^{T}XA, B^{T}XB = [C, D]\)] ⋮ Minimum-energy covariance controllers ⋮ Alternating convex projection methods for discrete-time covariance control design ⋮ The linear bi-spatial tensor equation \(\varphi_{ij}A^iXB^j=C\) ⋮ Two algebraic methods for least squares L-structured and generalized L-structured problems of the commutative quaternion Stein matrix equation ⋮ Numerical algorithms for solving the least squares symmetric problem of matrix equation AXB + CXD = E ⋮ The least-squares solution with the least norm to a system of tensor equations over the quaternion algebra ⋮ Least squares η-bi-Hermitian problems of the quaternion matrix equation (AXB,CXD) = (E,F) ⋮ On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\) ⋮ Alternating convex projection methods for covariance control design ⋮ Direct methods onη‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F) ⋮ On solutions of the quaternion matrix equation \(AX=B\) and their applications in color image restoration ⋮ An instrumental variable estimator for mixed indicators: analytic derivatives and alternative parameterizations ⋮ Symmetric, positive semidefinite, and positive definite real solutions of \(AX=XA^ T\) and \(AX=YB\) ⋮ The left greatest common divisor and the left least common multiple for all solutions of the matrix equation \(BX = a\) over a commutative domain of elementary divisors ⋮ The least squares solution of a class of generalized Sylvester-transpose matrix equations with the norm inequality constraint ⋮ Special least squares solutions of the quaternion matrix equation \(A X = B\) with applications ⋮ Inverse eigenvalue problems of tridiagonal symmetric matrices and tridiagonal bisymmetric matrices ⋮ Least squares solutions of the matrix equation \(AXB+CYD=E\) with the least norm for symmetric arrowhead matrices ⋮ An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation \(AXB=C\) ⋮ Least squares Hermitian solution of the matrix equation \((AXB,CXD)=(E,F)\) with the least norm over the skew field of quaternions ⋮ Special least squares solutions of the quaternion matrix equation \(AXB+CXD=E\) ⋮ On minimal solutions of the matrix equation \(AX-YB=0\) ⋮ The symmetric solution of the matrix equations \(AX+YA=C, AXA^ t+BYB^ t=C\), and \((A^ tXA, B^ tXB)=(C,D)\) ⋮ An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation \(AXB\)=\(C\) ⋮ Least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\) with the least norm ⋮ A representation of the general common solution to the matrix equations \(A_1XB_1=C_1\) and \(A_2XB_2=C_2\) with applications ⋮ L-structured quaternion matrices and quaternion linear matrix equations ⋮ The least square solution with the least norm to a system of quaternion matrix equations ⋮ Fast linear inversion for highly overdetermined inverse scattering problems ⋮ On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G) ⋮ Symmetric solutions of linear matrix equations by matrix decompositions ⋮ A new updating method for the damped mass-spring systems ⋮ Least squares solution of the quaternion matrix equation with the least norm ⋮ Least-squares problem for the quaternion matrix equationAXB+CYD=Eover different constrained matrices ⋮ The solvability of linear matrix equations over a central simple algebra ⋮ Least squares pure imaginary solution and real solution of the quaternion matrix equation \(A X B + C X D = E\) with the least norm ⋮ A Method for Computing Moments of Quadratic Forms Involving Wrapped Random Variables
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The commutation matrix: Some properties and applications
- Some matrix equations over a finite field
- The matrix equation AXB+CYD=E
- Vector structures and solutions of linear matrix equations
- The matrix equation \(AX-YB=C\)
- On Jacobians of transformations with skew-symmetric, strictly (lower) triangular or diagonal matrix arguments
- Vec and vech operators for matrices, with some uses in jacobians and multivariate statistics
- The Elimination Matrix: Some Lemmas and Applications
- Blockmatrizen und lineare Matrizengleichungen
- On the matrix equations $AX - XB = C$ and $AX - YB = C$
- On direct product matrices
- Explicit Solutions of Linear Matrix Equations
- Solving the Matrix Equation $\sum _{\rho = 1}^r f_\rho (A)Xg_\rho (B) = C$
- A new matrix product and its applications in partitioned matrix differentiation
This page was built for publication: L-structured matrices and linear matrix equations∗
