New proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equation (Q1672694)

scientific article; zbMATH DE number 6934599

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English	New proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equation	scientific article; zbMATH DE number 6934599

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instance of

scholarly article

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title

New proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equation (English)

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11 September 2018

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zbMATH Keywords

hierarchical identification principle

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Sylvester-conjugate matrix equation

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real representation of a complex matrix

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.camwa.2017.08.017

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cites work

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

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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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Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation

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Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester matrix equations

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New solution bounds for the continuous algebraic Riccati equation

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

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

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

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New symmetry preserving method for optimal correction of damping and stiffness matrices using measured modes

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Stochastic stability for Markovian jump linear systems associated with a finite number of jump times

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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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The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equations

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

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A preconditioned nested splitting conjugate gradient iterative method for the large sparse generalized Sylvester equation

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Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix

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Iterative methods to solve the generalized coupled Sylvester-conjugate matrix equations for obtaining the centrally symmetric (centrally antisymmetric) matrix solutions

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The matrix iterative methods for solving a class of generalized coupled Sylvester-conjugate linear matrix equations

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

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Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling

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Maximum likelihood least squares identification for systems with autoregressive moving average noise

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Iterative parameter identification methods for nonlinear functions

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The filtering based maximum likelihood recursive least squares estimation for multiple-input single-output systems

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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 coupled Sylvester-transpose matrix equations

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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 solutions to coupled 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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A shift-splitting hierarchical identification method for solving Lyapunov matrix equations

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Weighted least squares solutions to general coupled Sylvester matrix equations

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

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Gradient based iterative algorithm for solving coupled matrix equations

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

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Gradient-based maximal convergence rate iterative method for solving linear matrix equations

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Vector least-squares solutions for coupled singular matrix equations

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

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

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published in

Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

1398.65086

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2017.08.017

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Sitelinks

Mathematics(1 entry)

mardi Publication:1672694