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Generalized conjugate direction algorithm for solving generalized coupled Sylvester transpose matrix equations over reflexive or anti-reflexive matrices - MaRDI portal

Generalized conjugate direction algorithm for solving generalized coupled Sylvester transpose matrix equations over reflexive or anti-reflexive matrices (Q2170717)

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Language	Label	Description	Also known as
English	Generalized conjugate direction algorithm for solving generalized coupled Sylvester transpose matrix equations over reflexive or anti-reflexive matrices	scientific article

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scholarly article

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Generalized conjugate direction algorithm for solving generalized coupled Sylvester transpose matrix equations over reflexive or anti-reflexive matrices (English)

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zbMATH Open document ID

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10.1016/j.jfranklin.2022.07.005

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Journal of the Franklin Institute

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publication date

6 September 2022

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Sylvester transpose matrix equations

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conjugate direction algorithm

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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.jfranklin.2022.07.005

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

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Finite iterative Hermitian \(R\)-conjugate solutions of the generalized coupled Sylvester-conjugate matrix equations

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Pole assignment via Sylvester's equation

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The structure of weighting coefficient matrices of harmonic differential quadrature and its applications

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On the reducibility of centrosymmetric matices - applications in engineering problems

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Novel data filtering based parameter identification for multiple-input multiple-output systems using the auxiliary model

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An efficient hierarchical identification method for general dual-rate sampled-data systems

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Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester-conjugate 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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Finite iterative methods for solving systems of linear matrix equations over reflexive and anti-reflexive matrices

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A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation

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Efficient approaches for enclosing the united solution set of the interval generalized Sylvester matrix equations

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

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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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Convergence of HS version of BCR algorithm to solve the generalized Sylvester matrix equation over generalized reflexive matrices

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Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm

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BCR method for solving generalized coupled Sylvester equations over centrosymmetric or anti-centrosymmetric matrix

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The BCR algorithms for solving the reflexive or anti-reflexive solutions of generalized coupled Sylvester matrix equations

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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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Developing CRS iterative methods for periodic Sylvester matrix equation

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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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Alternating direction method for generalized Sylvester matrix equation \(AXB + CYD = E\)

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Alternating direction methods for solving a class of Sylvester-like matrix equations

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The Unified Frame of Alternating Direction Method of Multipliers for Three Classes of Matrix Equations Arising in Control Theory

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Alternating Direction Method for a Class of Sylvester Matrix Equations with Linear Matrix Inequality Constraint

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Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations

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

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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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The generalized conjugate direction method for solving quadratic inverse eigenvalue problems over generalized skew Hamiltonian matrices with a submatrix constraint

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

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

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An finite iterative algorithm for sloving periodic Sylvester bimatrix equations

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Parametric solutions to generalized periodic Sylvester bimatrix equations

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Finite iterative solutions to periodic Sylvester matrix equations

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A parametric poles assignment algorithm for second-order linear periodic systems

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Gradient based approach for generalized discrete-time periodic coupled Sylvester matrix equations

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A numerical solution of a class of periodic coupled matrix equations

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Quasi gradient-based inversion-free iterative algorithm for solving a class of the nonlinear matrix equations

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Refinements of the Hadamard and Cauchy-Schwarz inequalities with two inequalities of the principal angles

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

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Gradient based iterative solutions for general linear matrix equations

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