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Gradient-based iterative approach for solving constrained systems of linear matrix equations

Akbar Shirilord, Mehdi Dehghan

2024Computational and Applied Mathematics12 citationsDOI

Topics & Concepts

Iterative methodSylvester equationMatrix (chemical analysis)Matrix-free methodsSylvester matrixAlgebraic Riccati equationAlgebraic equationComputer scienceApplied mathematicsSystem of linear equationsMathematicsState-transition matrixLinear systemIdentification (biology)Newton's methodMathematical optimizationAlgorithmRiccati equationSparse matrixSymmetric matrixNonlinear systemMathematical analysisPartial differential equationPolynomial matrixMatrix polynomialPolynomialQuantum mechanicsComposite materialBotanyGaussianMaterials scienceBiologyEigenvalues and eigenvectorsPhysicsMatrix Theory and AlgorithmsControl Systems and IdentificationModel Reduction and Neural Networks
Gradient-based iterative approach for solving constrained systems of linear matrix equations | Litcius