Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester-conjugate matrix equations (Q2335526)

scientific article

Language	Label	Description	Also known as
English	Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester-conjugate matrix equations	scientific article

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instance of

scholarly article

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title

Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester-conjugate matrix equations (English)

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Applied Mathematics and Computation

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publication date

14 November 2019

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zbMATH Keywords

generalized Sylvester-conjugate equations

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conjugate gradient least squares algorithm

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exact solution

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minimum-norm least squares solution

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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.amc.2018.03.119

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cites work

Q3497915

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Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra

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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 \((R, S)\)-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 Inverse Eigenproblem of Centrosymmetric Matrices with a Submatrix Constraint and Its Approximation

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Gradient based iterative algorithm for solving coupled matrix equations

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Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors

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Smoothing iterative block methods for linear systems with multiple right-hand sides

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The block least squares method for solving nonsymmetric linear systems with multiple right-hand sides

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

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Minimization problems for \((R,S)\)-symmetric and \((R,S)\)-skew symmetric matrices

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Global least squares method (Gl-LSQR) for solving general linear systems with several right-hand sides

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The least-squares solutions of inconsistent matrix equation over symmetric and antipersymmetric matrices

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

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On the symmetric solutions of linear matrix equations

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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 iteration solution of matrix equation \(A X B = C\) subject to a linear matrix inequality constraint

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

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Some predictor-corrector-type iterative schemes for solving nonsymmetric algebraic Riccati equations arising in transport theory

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On Iterative Solutions of General Coupled 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 algorithms for solving a class of matrix equations

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Hierarchical gradient-based identification of multivariable discrete-time systems

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Iterative least-squares solutions of coupled sylvester matrix equations

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

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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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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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Modified conjugate gradient method for obtaining the minimum-norm solution of the generalized coupled Sylvester-conjugate matrix equations

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A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity

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Finite iterative solutions to coupled Sylvester-conjugate matrix equations

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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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Minimum-norm Hamiltonian solutions of a class of generalized Sylvester-conjugate matrix equations

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Generalized conjugate direction algorithm for solving the general coupled matrix equations over symmetric matrices

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Symmetric solutions of the coupled generalized Sylvester matrix equations via BCR algorithm

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Least squares solution of the linear operator equation

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Extending the CGLS algorithm for least squares solutions of the generalized Sylvester-transpose matrix equations

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Solving the general Sylvester discrete-time periodic matrix equations via the gradient based iterative method

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

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Identifiers

zbMATH Open document ID

1427.65058

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DOI

10.1016/j.amc.2018.03.119

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2335526