The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equations (Q1664179)

scientific article; zbMATH DE number 6924982

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English	The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equations	scientific article; zbMATH DE number 6924982

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instance of

scholarly article

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title

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

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Applied Mathematics and Computation

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publication date

24 August 2018

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zbMATH Keywords

generalized coupled Sylvester-conjugate matrix equation

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GPBiCG method

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Kronecker product

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vectorization operator

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numerical experiments

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describes a project that uses

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full work available at URL

https://doi.org/10.1016/j.amc.2015.04.078

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cites work

Pole assignment via Sylvester's equation

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Controllability, observability and the solution of AX-XB=C

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Output feedback eigenstructure assignment using two Sylvester equations

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Application of ADI Iterative Methods to the Restoration of Noisy Images

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Cross-Gramian based model reduction for data-sparse systems

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

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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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Simultaneous solutions of matrix equations and simultaneous equivalence of matrices

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Solvability conditions and general solution for mixed Sylvester equations

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

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

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Q3801711

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Q3998992

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An algebraic relation between consimilarity and similarity of complex matrices and its applications

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

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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 solutions of the matrix equations \(XF - AX = C\) and \(XF - A\bar {X} =C\)

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

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

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Iterative solutions to coupled Sylvester-transpose matrix equations

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GPBi-CG: Generalized Product-type Methods Based on Bi-CG for Solving Nonsymmetric Linear Systems

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Best Approximate Solution of 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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Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations

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CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems

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Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems

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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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A matrix LSQR iterative method to solve matrix equation<i>AXB</i>=<i>C</i>

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Identifiers

zbMATH Open document ID

1410.65128

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Mathematics Subject Classification ID

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10.1016/J.AMC.2015.04.078

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Sitelinks

Mathematics(1 entry)

mardi Publication:1664179