An efficient method for special least squares solution of the complex matrix equation \((AXB,CXD)=(E,F)\) (Q2202978)

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English	An efficient method for special least squares solution of the complex matrix equation \((AXB,CXD)=(E,F)\)	scientific article

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title

An efficient method for special least squares solution of the complex matrix equation \((AXB,CXD)=(E,F)\) (English)

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1 October 2020

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zbMATH Keywords

complex matrix equation

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least squares Hermitian solution

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real representation matrix

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Moore-Penrose generalized inverse

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.camwa.2018.07.044

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cites work

A generalized preconditioned MHSS method for a class of complex symmetric linear systems

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Generalized solution sets of the interval generalized Sylvester matrix equation \(\sum_{i=1}^p\mathbf A_iX_i+\sum_{j=1}^qY_j\mathbf B_j=\mathbf C\) and some approaches for inner and outer estimations

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An efficient algorithm for the generalized centro-symmetric solution of matrix equation \(AXB = C\)

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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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A representation of the general common solution to the matrix equations \(A_1XB_1=C_1\) and \(A_2XB_2=C_2\) with applications

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An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation \(AXB\)=\(C\)

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Iterative positive definite solutions of the two nonlinear matrix equations \(X \pm A^{T}X^{-2} A =I \)

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A relaxed gradient based algorithm for solving generalized coupled Sylvester matrix equations

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A finite iterative method for solving a pair of linear matrix equations \((AXB,CXD)=(E,F)\)

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Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations

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

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Solvability conditions and general solution for mixed Sylvester equations

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Constraint generalized Sylvester matrix equations

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

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Least-squares solutions to the matrix equations \(AX = B\) and \(XC = D\)

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Solving the mixed Sylvester matrix equations by matrix decompositions

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On the generalized bisymmetric and skew-symmetric solutions of the system of generalized Sylvester matrix equations

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Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations

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Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems

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Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\)

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Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations

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Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation \(AX=B\)

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On the least squares generalized Hamiltonian solution of generalized coupled Sylvester-conjugate matrix equations

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Q5677596

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A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem

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Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations

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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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An iterative algorithm for the least squares bisymmetric solutions of the matrix equations \(A_{1}XB_{1}=C_{1},A_{2}XB_{2}=C_{2}\)

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Iterative solutions to matrix equations of the form \(A_{i}XB_{i}=F_{i}\)

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LSQR iterative common symmetric solutions to matrix equations \(AXB = E\) and \(CXD = F\)

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Least-squares Hermitian problem of complex matrix equation \((AXB,CXD)=(E,F)\)

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The minimal norm least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\)

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Q4917542

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published in

Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

1442.65070

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2018.07.044

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Sitelinks

Mathematics(1 entry)

mardi Publication:2202978