Periodic conjugate direction algorithm for symmetric periodic solutions of general coupled periodic matrix equations (Q2001295)

scientific article; zbMATH DE number 7075784

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English	Periodic conjugate direction algorithm for symmetric periodic solutions of general coupled periodic matrix equations	scientific article; zbMATH DE number 7075784

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instance of

scholarly article

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title

Periodic conjugate direction algorithm for symmetric periodic solutions of general coupled periodic matrix equations (English)

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author

Masoud Hajarian

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publication date

3 July 2019

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zbMATH Keywords

symmetric periodic solution

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periodic matrix equation

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conjugate direction (CD) method

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describes a project that uses

Periodic Systems Toolbox

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.camwa.2018.03.020

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cites work

Periodic systems. Filtering and control

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Invariant representations of discrete-time periodic systems

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Projected Generalized Discrete-Time Periodic Lyapunov Equations and Balanced Realization of Periodic Descriptor Systems

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A parametric periodic Lyapunov equation with application in semi-global stabilization of discrete-time periodic systems subject to actuator saturation

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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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An iteration method for the symmetric solutions and the optimal approximation solution of the matrix equation \(AXB\)=\(C\)

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

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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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Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems

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Computing periodic deflating subspaces associated with a specified set of eigenvalues

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An iterative algorithm for discrete periodic Lyapunov matrix equations

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Finite iterative solutions to periodic Sylvester matrix equations

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The general coupled matrix equations over generalized bisymmetric 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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Least squares solution of the linear operator equation

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The generalized QMRCGSTAB algorithm for solving Sylvester-transpose matrix equations

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Matrix form of the CGS method for solving general coupled matrix equations

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Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems

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Structure preserving iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems

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GRADIENT BASED ITERATIVE ALGORITHM TO SOLVE GENERAL COUPLED DISCRETE-TIME PERIODIC MATRIX EQUATIONS OVER GENERALIZED REFLEXIVE MATRICES

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Developing CGNE algorithm for the periodic discrete-time generalized coupled Sylvester matrix equations

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Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations

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

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Matrix form of Biconjugate Residual Algorithm to Solve the Discrete‐Time Periodic Sylvester Matrix Equations

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<i>s</i>-Step Iterative Methods for (Non)Symmetric (In)Definite Linear Systems

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Q4814573

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Block s-step Krylov iterative methods

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Generating conjugate directions for arbitrary matrices by matrix equations. I

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Generating conjugate directions for arbitrary matrices by matrix equations. II

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Extending the CGLS method for finding the least squares solutions of general discrete-time periodic matrix equations

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A finite iterative method for solving the general coupled discrete-time periodic matrix equations

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published in

Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

1417.65122

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2018.03.020

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Sitelinks

Mathematics(1 entry)

mardi Publication:2001295