The least squares anti-bisymmetric solution and the optimal approximation solution for Sylvester equation (Q1636839)

scientific article; zbMATH DE number 6881716

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English	The least squares anti-bisymmetric solution and the optimal approximation solution for Sylvester equation	scientific article; zbMATH DE number 6881716

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instance of

scholarly article

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title

The least squares anti-bisymmetric solution and the optimal approximation solution for Sylvester equation (English)

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Applied Mathematics and Computation

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publication date

7 June 2018

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zbMATH Keywords

Sylvester equation

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modified conjugate iterative method

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anti-bisymmetric matrix

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least squares solution

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optimal approximation

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2015.02.056

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cites work

A Hessenberg-Schur method for the problem AX + XB= C

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Explicit solutions of the discrete-time Lyapunov matrix equation and Kalman-Yakubovich equations

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A brief summary of the bounds on the solution of the algebraic matrix equations in control theory

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Iterative solution of the Lyapunov matrix equation

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SOR for \(AX-XB=C\)

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Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems

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

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Several splittings for non-Hermitian linear systems

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Modified HSS iteration methods for a class of complex symmetric linear systems

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Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)

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

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

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A finite iterative algorithm for solving the generalized \((P,Q)\)-reflexive solution of the linear systems of matrix equations

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The optimal convergence factor of the gradient based iterative algorithm for linear matrix equations

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A modified gradient based algorithm for solving Sylvester equations

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On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation \(AXB=C\)

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

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Q5400580

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On the symmetric solutions of a linear matrix equation

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Symmetric solutions of linear matrix equations by matrix decompositions

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The constrained solutions of two matrix equations

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Q4709684

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Best Approximate Solution of Matrix Equation AXB+CYD=E

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Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations

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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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Q3054088

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Identifiers

zbMATH Open document ID

1390.15049

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Mathematics Subject Classification ID

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10.1016/J.AMC.2015.02.056

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Sitelinks

Mathematics(1 entry)

mardi Publication:1636839