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Eigenvalue problem derivatives computation for a complex matrix using the adjoint method

Sicheng He, Yayun Shi, Eiríkur Jónsson, Joaquim R. R. A. Martins

2022Mechanical Systems and Signal Processing19 citationsDOI

Topics & Concepts

Eigenvalues and eigenvectorsHermitian matrixMathematicsDivide-and-conquer eigenvalue algorithmEigenvalue perturbationEigendecomposition of a matrixGeneralized eigenvectorComputationApplied mathematicsMatrix (chemical analysis)Inverse iterationAlgorithmSymmetric matrixPure mathematicsPhysicsComposite materialState-transition matrixQuantum mechanicsMaterials scienceMatrix Theory and AlgorithmsNumerical methods for differential equationsModel Reduction and Neural Networks
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