Least squares Hermitian solution of the complex matrix equation $AXB+CXD=E$ with the least norm (Q2263941)

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

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scholarly article

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title

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

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Journal of the Franklin Institute

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publication date

19 March 2015

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zbMATH Keywords

least squares Hermitian problem

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complex matrix equation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jfranklin.2014.08.003

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cites work

Q4061081

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Finite iterative methods for solving systems of linear matrix equations over reflexive and anti-reflexive matrices

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The generalised Sylvester matrix equations over the generalised bisymmetric and skew-symmetric matrices

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On the generalized reflexive and anti-reflexive solutions to a system of matrix equations

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Convergence of an iterative method for solving Sylvester matrix equations over reflexive matrices

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

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The $(R, S)$-symmetric and $(R, S)$-skew symmetric solutions of the pair of matrix equations ${A}_1 {XB}_1 = C_1$ and $A_2 {XB}_2 = C_2$

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The generalized centro-symmetric and least squares generalized centro-symmetric solutions of the matrix equation AYB + CYTD = E

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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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Efficient computation of enclosures for the exact solvents of a quadratic matrix equation

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The general coupled matrix equations over generalized bisymmetric matrices

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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 a solution of the quaternion matrix equation $X-A \widetilde{X} B=C$ and its application

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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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Matrix form of the CGS method for solving general coupled matrix equations

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Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations

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Solving the general coupled and the periodic coupled matrix equations via the extended QMRCGSTAB algorithms

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The Matrix Equation $AXB + CXD = E$

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An efficient iterative method for solving the matrix equationAXB +CYD =E

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

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The solvability of two linear matrix equations

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Solvability conditions and general solution for mixed Sylvester 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 solutions of matrix equation $AXB+CYD=F$

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New representations of the Moore-Penrose inverse of $2 \times 2$ block matrices

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Q5866709

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

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Q3166863

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Identifiers

zbMATH Open document ID

1307.93175

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DOI

10.1016/j.jfranklin.2014.08.003

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2263941

Least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\) with the least norm (Q2263941)

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Identifiers

Sitelinks

Mathematics(1 entry)