The matrix equation AXB+CYD=E
From MaRDI portal
Publication:1141208
DOI10.1016/0024-3795(80)90189-5zbMath0437.15005OpenAlexW2010333970MaRDI QIDQ1141208
Jerzy K. Baksalary, Radosław Kala
Publication date: 1980
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(80)90189-5
Related Items (59)
The iterative algorithm for solving a class of generalized coupled Sylvester-transpose equations over centrosymmetric or anti-centrosymmetric matrix ⋮ On the solvability of generalized Sylvester operator equations ⋮ Solving linearly constrained matrix least squares problem by LSQR ⋮ Hermitian solutions to the system of operator equations T_iX=U_i. ⋮ On T-Sylvester equations over commutative rings ⋮ On solutions of the matrix equation \(AX=B\) with respect to semi-tensor product ⋮ Singular value and generalized singular value decompositions and the solution of linear matrix equations ⋮ Unnamed Item ⋮ Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation ⋮ The general coupled matrix equations over generalized bisymmetric matrices ⋮ The modified conjugate gradient methods for solving a class of generalized coupled Sylvester-transpose matrix equations ⋮ A simple method for solving matrix equations \(AXB = D\) and \(GXH = C\) ⋮ An iterative method for the symmetric and skew symmetric solutions of a linear matrix equation \(AXB+CYD=E\) ⋮ Alternating direction method for generalized Sylvester matrix equation \(AXB + CYD = E\) ⋮ Algebraic conditions for the solvability of system of three linear equations in a ring ⋮ Unnamed Item ⋮ Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix ⋮ Theη-bihermitian solution to a system of real quaternion matrix equations ⋮ The least squares problem of the matrix equation \(A_1X_1B^T_1+A_2X_2B^T_2=T\) ⋮ The matrix equationAXB+CYD=Eover a simple artinian ring ⋮ Solvability of the matrix inequality ⋮ The reflexive least squares solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2+\cdots +A_lX_lB_l=C\) with a submatrix constraint ⋮ An efficient algorithm for the submatrix constraint of the matrix equationA1X1B1+A2X2B2+···+AlXlBl=C ⋮ A system of Sylvester-type quaternion matrix equations with ten variables ⋮ On the solutions of the operator equation XAX = BX ⋮ The consistency and the exact solutions to a system of matrix equations ⋮ Inverse eigenvalue problems for skew-Hermitian reflexive and anti-reflexive matrices and their optimal approximations ⋮ The general solution to a system of linear coupled quaternion matrix equations with an application ⋮ On the least squares generalized Hamiltonian solution of generalized coupled Sylvester-conjugate matrix equations ⋮ A simultaneous decomposition for seven matrices with applications ⋮ The solvability of two linear matrix equations ⋮ The general Hermitian nonnegative-definite and positive-definite solutions to the matrix equation \(GXG^{\ast} + HY H^{\ast}=C\) ⋮ The iteration solution of matrix equation \(A X B = C\) subject to a linear matrix inequality constraint ⋮ Matrix equation \(AXB=E\) with \(PX=sXP\) constraint ⋮ A system of matrix equations with five variables ⋮ Operator equations \(AX+YB=C\) and \(AXA^\ast + BYB^\ast =C\) in Hilbert \(C^\ast\)-modules ⋮ On operators with similar positive parts ⋮ Some relaxed iteration methods for solving matrix equation \(AXB=C\) ⋮ \(P\)-(skew)symmetric common solutions to a pair of quaternion matrix equations ⋮ Cramer's rules for Sylvester quaternion matrix equation and its special cases ⋮ Analytical best approximate Hermitian and generalized skew-Hamiltonian solution of matrix equation \(AXA^{\mathrm{H}}+CYC^{\mathrm{H}}=F\) ⋮ An iterative algorithm for the least Frobenius norm least squares solution of a class of generalized coupled Sylvester-transpose linear matrix equations ⋮ The scaling conjugate gradient iterative method for two types of linear matrix equations ⋮ L-structured matrices and linear matrix equations∗ ⋮ Matrix equations over \((R,S)\)-symmetric and \((R,S)\)-skew symmetric matrices ⋮ The matrix iterative methods for solving a class of generalized coupled Sylvester-conjugate linear matrix equations ⋮ Ranks of submatrices in (skew-)Hermitian solutions to a quaternion matrix equation ⋮ The \(\{P,Q,k+1\}\)-reflexive solution of matrix equation \(AXB=C\) ⋮ Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices ⋮ Modified conjugate gradient method for obtaining the minimum-norm solution of the generalized coupled Sylvester-conjugate matrix equations ⋮ AN ITERATIVE ALGORITHM FOR SOLVING A CLASS OF GENERALIZED COUPLED SYLVESTER-TRANSPOSE MATRIX EQUATIONS OVER BISYMMETRIC OR SKEW-ANTI-SYMMETRIC MATRICES ⋮ BCR method for solving generalized coupled Sylvester equations over centrosymmetric or anti-centrosymmetric matrix ⋮ A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity ⋮ Algebraic conditions for the solvability to some systems of matrix equations ⋮ Iterative methods to solve the generalized coupled Sylvester-conjugate matrix equations for obtaining the centrally symmetric (centrally antisymmetric) matrix solutions ⋮ Some new results on a system of Sylvester-type quaternion matrix equations ⋮ On solutions of matrix equation \(AXB+CYD=F\) ⋮ Solvability conditions for mixed sylvester equations in rings ⋮ Some matrix equations with applications†
Cites Work
This page was built for publication: The matrix equation AXB+CYD=E