scientific article; zbMATH DE number 3412786
From MaRDI portal
Publication:5677596
zbMath0262.15010MaRDI QIDQ5677596
Publication date: 1973
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matrix equations and identities (15A24) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items
Hermitian solutions to the system of operator equations T_iX=U_i. ⋮ A master of the row space and the column space: The mathematical work of Sujit Kumar Mitra ⋮ Singular value and generalized singular value decompositions and the solution of linear matrix equations ⋮ Almost non-interacting control by measurement feedback ⋮ 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 \(GXH = C\) ⋮ A finite iterative method for solving a pair of linear matrix equations \((AXB,CXD)=(E,F)\) ⋮ The matrix equations \(AX=B, XC=D\) with \(PX= sXP\) constraint ⋮ A common solution to a pair of linear matrix equations over a principal ideal domain ⋮ Algebraic conditions for the solvability of system of three linear equations in a ring ⋮ An efficient algorithm for the generalized centro-symmetric solution of matrix equation \(AXB = C\) ⋮ The matrix nearness problem for symmetric matrices associated with the matrix equation \([A^{T}XA, B^{T}XB = [C, D]\)] ⋮ An efficient algorithm for the least-squares reflexive solution of the matrix equation \(A_{1}XB_{1} = C_{1}, A_{2}XB_{2} = C_{2}\) ⋮ On additive decompositions of solutions of the matrix equation \(AXB=C\) ⋮ Symmetric least squares solution of a class of Sylvester matrix equations via MINIRES algorithm ⋮ Unnamed Item ⋮ Generalized Matrix Nearness Problems ⋮ The matrix equation AXB+CYD=E ⋮ The common solution to six quaternion matrix equations with applications ⋮ The solvability and the exact solution of a system of real quaternion matrix equations ⋮ The common Re-nnd and Re-pd solutions to the matrix equations \(AX = C\) and \(XB = D\) ⋮ Unnamed Item ⋮ Second order adjoint matrix equations ⋮ An efficient method for special least squares solution of the complex matrix equation \((AXB,CXD)=(E,F)\) ⋮ An expression of the general common least-squares solution to a pair of matrix equations with applications ⋮ A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem ⋮ The iteration solution of matrix equation \(A X B = C\) subject to a linear matrix inequality constraint ⋮ Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations ⋮ Ranks of least squares solutions of the matrix equation \(AXB=C\) ⋮ Alternating Direction Method for a Class of Sylvester Matrix Equations with Linear Matrix Inequality Constraint ⋮ 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 ⋮ An iterative algorithm for the generalized reflexive solution of the matrix equations \(AXB = E, CXD = F\) ⋮ The general solution to a system of real quaternion matrix equations ⋮ An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation \(AXB\)=\(C\) ⋮ An iterative algorithm for the least squares bisymmetric solutions of the matrix equations \(A_{1}XB_{1}=C_{1},A_{2}XB_{2}=C_{2}\) ⋮ An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications ⋮ Cramer's rule for the general solution to a restricted system of quaternion matrix equations ⋮ Iterative solution to a system of matrix equations ⋮ The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations ⋮ A representation of the general common solution to the matrix equations \(A_1XB_1=C_1\) and \(A_2XB_2=C_2\) with applications ⋮ 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 ⋮ On solutions of matrix equation AXB=C under semi-tensor product ⋮ Least squares solutions to the equations \(AX = B, XC = D\) with some constraints ⋮ Unnamed Item ⋮ On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G) ⋮ Weighted and unweighted least-squares solutions of linear matrix equations ⋮ Determinantal representations of the solutions to systems of generalized Sylvester equations ⋮ Optimality of BLUE's in a general linear model with incorrect design matrix ⋮ A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity ⋮ The solution of the matrix equation \(AXB=D\) and The system of matrix equations \(AX=C\), \(XB=D\) with \(X^*X=I_p\) ⋮ Algebraic conditions for the solvability to some systems of matrix equations ⋮ Cramer's rule for a system of quaternion matrix equations with applications ⋮ Least squares pure imaginary solution and real solution of the quaternion matrix equation \(A X B + C X D = E\) with the least norm ⋮ The matrix equations \(AX=C\), \(XB=D\) ⋮ Determinantal representations of solutions to systems of two-sided quaternion matrix equations ⋮ Solvability conditions for mixed sylvester equations in rings ⋮ Least-squares solution with the minimum-norm for the matrix equation \((A\times B,G\times H) = (C,D)\)
This page was built for publication:
