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Hessian matrixCoefficient matrixMatrix calculusMatrix normPartial differential equationMatrix analysisJacobi's formulaJacobi methodStructure tensorMatrix decompositionGradientOuter productDifferential equationIntegro-differential equationTraceCommutation matrixSecond derivativeJacobi eigenvalue algorithmPartial derivativePseudo-determinantOrdinary differential equationDeterminantCovariant derivativeLie algebraRotation matrixPolynomial matrixChain ruleCharacteristic polynomialAlgebra over a fieldMatrix differential equationEigendecomposition of a matrixCotangent bundlePermanentMatrix exponentialSecond covariant derivativeJacobi identityMatrix polynomialOrthogonal diagonalizationTensor algebraInverse function ruleDifferential operatorMultilinear mapContinuantQuotient ruleLogarithmic derivativeDivergenceProduct ruleSchur complementSubderivativeOrthogonal matrixSingular value decompositionAdjugate matrixMatrix sign functionMatrix determinant lemmaTaylor seriesCoordinate vectorTime dependent vector fieldMatrix additionOrthogonal functionsCentrosymmetric matrixSymmetric matrixConjugate gradient methodRankMatrix multiplicationLinear relationLinear differential equationConvex conjugatePolarization identityMultiple integralHilbert matrixMatrix splittingProjectionMultilinear formSchur product theoremGraph fourier transformTotal derivativeMatrix ringLaplace operatorAdjoint equationTensor product of representationsSpecial linear lie algebraCalculus on euclidean spaceDerivationLaplace expansionFormal derivativeTransformation matrixGeneral linear groupLogarithm of a matrixTranspose of a linear mapRank factorizationMultivariable calculusNumerical rangeAnalytic function of a matrixMatrix fieldBilinear formConservative vector fieldJacobi polynomialsBilinear mapInteger matrixHamiltonian vector field