Numerical algorithms for solving the least squares symmetric problem of matrix equation AXB + CXD = E (Q5080789)

scientific article; zbMATH DE number 7535083

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English	Numerical algorithms for solving the least squares symmetric problem of matrix equation AXB + CXD = E	scientific article; zbMATH DE number 7535083

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instance of

scholarly article

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title

Numerical algorithms for solving the least squares symmetric problem of matrix equation AXB + CXD = E (English)

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31 May 2022

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zbMATH Keywords

matrix equation

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least squares solution

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Moore-Penrose generalized inverse

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Kronecker product

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symmetric matrices

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MaRDI profile type

MaRDI publication profile

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cites work

Q4061081

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Singular value and generalized singular value decompositions and the solution of linear matrix equations

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A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation

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Biconjugate residual algorithm for solving general Sylvester-transpose matrix equations

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Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices

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A system of quaternary coupled Sylvester-type real quaternion matrix equations

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A simultaneous decomposition for seven matrices with applications

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Simultaneous decomposition of quaternion matrices involving $\eta$-Hermicity with applications

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The matrix equation $AXB-GXB=E$ over the quaternion field

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Explicit solution of the matrix equation $AXB-CXD=E$

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On solutions of the matrix equations $X$-$AXB$=$C$ and $A{\overline{X}}B$=$C$

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Successive projection iterative method for solving matrix equation $AX=B$

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Iterative Hermitian R-conjugate solutions to general coupled sylvester matrix equations

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Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations

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Best Approximate Solution of Matrix Equation AXB+CYD=E

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Least-squares solution with the minimum-norm for the matrix equation $(A\times B,G\times H) = (C,D)$

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L-structured matrices and linear matrix equations∗

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Solvability of $AXB - CXD = E$ in the operators algebra $B(H)$

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The Matrix Equation $AXB + CXD = E$

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The reflexive and anti-reflexive solutions of the matrix equation $A^{H}XB=C$

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The bisymmetric solutions of the matrix equation $A_{1}X_{1}B_{1}+A_{2}X_{2}B_{2}+\cdots+A_{l}X_{l}B_{l}=C$ and its optimal approximation

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An efficient algorithm for the least-squares reflexive solution of the matrix equation $A_{1}XB_{1} = C_{1}, A_{2}XB_{2} = C_{2}$

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An iterative method for the symmetric and skew symmetric solutions of a linear matrix equation $AXB+CYD=E$

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Least Squares Solution of Matrix Equation $AXB^* + CYD^* = E$

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Computational Methods for Linear Matrix Equations

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Explicit solutions to the quaternion matrix equationsX−AXF=CandX−A[Xtilde]F=C

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Nonnegative definite and re-nonnegative definite solutions to a system of matrix equations with statistical applications

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Cramer's rule for a system of quaternion matrix equations with applications

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The solvability of two linear matrix equations

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An accelerated Jacobi-gradient based iterative algorithm for solving sylvester matrix equations

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Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation

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Ranks and the least-norm of the general solution to a system of quaternion matrix equations

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Q3497915

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On matrix equations $X - AXF = C$ and $X - A\overline{X}F = C$

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On solutions of matrix equation $AXB+CYD=F$

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Least squares Hermitian solution of the matrix equation $(AXB,CXD)=(E,F)$ with the least norm over the skew field of quaternions

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Inverse eigenvalue problems of tridiagonal symmetric matrices and tridiagonal bisymmetric matrices

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Least squares Hermitian solution of the complex matrix equation $AXB+CXD=E$ with the least norm

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Identifiers

DOI

10.2298/FIL1906649Y

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Mathematics Subject Classification ID

65F45

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zbMATH DE Number

7535083

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Sitelinks

Mathematics(1 entry)

mardi Publication:5080789