A finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations by using the linear operators (Q1691184)

scientific article; zbMATH DE number 6826240

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English	A finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations by using the linear operators	scientific article; zbMATH DE number 6826240

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instance of

scholarly article

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title

A finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations by using the linear operators (English)

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author

Huamin Zhang

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published in

Journal of the Franklin Institute

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publication date

15 January 2018

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zbMATH Keywords

finite iterative algorithm

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complex generalized coupled Sylvester matrix equations

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jfranklin.2016.12.011

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cites work

Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems

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A property of the eigenvalues of the symmetric positive definite matrix and the iterative algorithm for coupled Sylvester matrix equations

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Reduced-rank gradient-based algorithms for generalized coupled Sylvester matrix equations and its applications

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Iterative algorithms for \(X+A^{\mathrm T}X^{-1}A=I\) by using the hierarchical identification principle

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Convergence of gradient-based iterative solution of coupled Markovian jump Lyapunov equations

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Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation

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On solutions of matrix equations \(V - AVF = BW\) and \(V-A\bar V F= BW\)

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

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The common solution to six quaternion matrix equations with applications

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A system of real quaternion matrix equations with applications

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Positive definite solutions of the nonlinear matrix equation \(X + A^H\bar{X}^{-1}A = I\)

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Toward solution of matrix equation \(X=Af(X)B+C\)

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Gradient based iterative algorithms for solving a class of matrix equations

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On Iterative Solutions of General Coupled Matrix Equations

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Iterative least-squares solutions of coupled sylvester matrix equations

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Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle

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Gradient based iterative solutions for general linear matrix equations

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Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)

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

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Iterative solutions to the extended Sylvester-conjugate matrix equations

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Iterative algorithms for solving a class of complex conjugate and transpose matrix equations

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Iterative solutions to coupled Sylvester-conjugate matrix equations

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Iterative solutions to coupled Sylvester-transpose matrix equations

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An efficient algorithm for solving extended Sylvester-conjugate transpose matrix equations

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Weighted least squares solutions to general coupled Sylvester matrix equations

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Least squares solution with the minimum-norm to general matrix equations via iteration

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Parallel iterative methods for sparse linear systems

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Iterative solution of linear systems in the 20th century

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An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation \(AXB=C\)

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Finite iterative algorithms for extended Sylvester-conjugate matrix equations

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Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2=C\)

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Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns

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An iterative algorithm for solving a pair of matrix equations \(AYB=E\), \(CYD=F\) over generalized centro-symmetric matrices

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An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation

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Finite iterative algorithms for solving generalized coupled Sylvester systems. I: One-sided and generalized coupled Sylvester matrix equations over generalized reflexive solutions

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An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices

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Finite iterative algorithms for solving generalized coupled Sylvester systems. II: Two-sided and generalized coupled Sylvester matrix equations over reflexive solutions

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A finite iterative algorithm for the solution of Sylvester-conjugate matrix equations \(AV+BW=E\overline{V}F+C\) and \(AV+B\overline{W}=E\overline{V}F+C\)

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The modified conjugate gradient methods for solving a class of generalized coupled Sylvester-transpose matrix equations

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Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations

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An efficient algorithm for solving general coupled matrix equations and its application

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The general coupled matrix equations over generalized bisymmetric matrices

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An iterative algorithm for solving a finite-dimensional linear operator equation \(T(x)=f\) with applications

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

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Identifiers

zbMATH Open document ID

1378.93047

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Mathematics Subject Classification ID

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10.1016/J.JFRANKLIN.2016.12.011

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Sitelinks

Mathematics(1 entry)

mardi Publication:1691184