The scaling conjugate gradient iterative method for two types of linear matrix equations (Q2006253)

scientific article; zbMATH DE number 7258352

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English	The scaling conjugate gradient iterative method for two types of linear matrix equations	scientific article; zbMATH DE number 7258352

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instance of

scholarly article

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title

The scaling conjugate gradient iterative method for two types of linear matrix equations (English)

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8 October 2020

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zbMATH Keywords

linear matrix equations

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scaling conjugate gradient (SCG) method

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iterative method

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Kronecker product

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vec operator

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numerical test

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.camwa.2015.06.030

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cites work

Eigenvectors of certain matrices

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

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Successive projection iterative method for solving matrix equation \(AX=B\)

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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 matrix equation AXB+CYD=E

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On a Hermitian and skew-Hermitian splitting iteration method for continuous Sylvester equations

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A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part

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On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation \(AX+XB=C\)

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A modified gradient based algorithm for solving Sylvester equations

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Observer-based Adaptive fuzzy control of time-delay uncertain nonlinear systems

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Low Rank Solution of Lyapunov Equations

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A new iteration method for the matrix equation \(AX = B\)

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Least squares solutions to \(AX = B\) for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation

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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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On the generalized reflexive and anti-reflexive solutions to a system of 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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Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations

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The common solution to six quaternion matrix equations with applications

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

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A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations

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

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The modified accelerated Bregman method for regularized basis pursuit problem

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

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The Inverse Eigenproblem of Centrosymmetric Matrices with a Submatrix Constraint and Its Approximation

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The solutions of matrix equation \(AX=B\) over a matrix inequality constraint

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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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On Iterative Solutions of General Coupled Matrix Equations

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Gradient based iterative algorithms for solving a class of matrix equations

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Hierarchical least squares identification methods for multivariable systems

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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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Weighted least squares solutions to general coupled Sylvester matrix equations

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Cyclic and simultaneous iterative methods to matrix equations of the form \(A_iXB_i=F_i\)

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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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Least-squares solution with the minimum-norm for the matrix equation \((A\times B,G\times H) = (C,D)\)

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The matrix equations \(AX=C\), \(XB=D\)

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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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Nested splitting conjugate gradient method for matrix equation \(AXB=C\) and preconditioning

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The general coupled matrix equations over generalized bisymmetric matrices

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The solution to matrix equation \(AX+X^TC=B\)

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

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Iterative algorithms for the minimum-norm solution and the least-squares solution of the linear matrix equations \(A_1XB_1 + C_1X^TD_1 = M_1, A_2XB_2 + C_2 X^TD_2 = M_2\)

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Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester 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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Finite iterative algorithms for the generalized Sylvester-conjugate matrix equation \(AX+BY=E\overline{X}F+S\)

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

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published in

Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

1443.65058

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2015.06.030

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Sitelinks

Mathematics(1 entry)

mardi Publication:2006253