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Jacobi eigenvalue algorithmQr algorithmInverse iterationEigendecomposition of a matrixLanczos algorithmConjugate gradient methodEigenfunctionEigenvalue perturbationMatrix pencilRank factorizationExponentiation by squaringIterative methodSylvester's formulaGeometric progressionEuler methodProbability-generating functionTraceCharacteristic polynomialQuantum phase estimation algorithmMatrixBiconjugate gradient methodPerfect powerGraph fourier transformJacobi methodSpectral graph theoryMatrix decompositionDiagonally dominant matrixLattice pathLaplace expansionBinomial typePfaffianCross productSpectral theoremKrylov subspaceMatrix determinant lemmaCommutation matrixQr decompositionPolar decompositionGenerating function transformationMatrix exponentialGenerating functionPowerful numberNewton's methodExtended euclidean algorithmMain diagonalGroup representationLagrange multiplierNumerical linear algebraPolynomial long divisionOrthogonal diagonalizationD'alembert's formulaCovariance matrixRayleigh quotient iterationBareiss algorithmCholesky decompositionSpecial linear groupLie algebra representationMatrix normContinued fractionPolynomialTridiagonal matrix algorithmPascal matrixInvertible matrixSturm's theoremLinear differential equationSpectrumInverse quadratic interpolationNon-negative matrix factorizationOrthonormal basisLu decompositionSemi-orthogonal matrixLinear mapMultiple-scale analysisMatrix splittingHilbert transformDirichlet's approximation theoremEigenvalues and eigenvectorsConstant-recursive sequenceHilbert projection theoremEuclidean divisionProjections onto convex setsPermutation graphPoisson summation formulaIndefinite orthogonal groupOrthogonal polynomialsFrobenius methodDegree matrixOrthogonal matrixMatrix multiplicationPolynomial interpolationConjugate transposeMultinomial theoremMethods of computing square rootsMonodromy matrixDistance matrixTotally positive matrixExchange matrixSingular valueEuler's theoremSum of two squares theorem