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OrthogonalizationOrthogonal basisOrthonormal basisOrthogonal diagonalizationMatrix decompositionRestricted isometry propertyLattice of subgroupsLattice problemBirational geometryOrthogonalityEigendecomposition of a matrixField of definitionCoordinate vectorOrthogonal functionsShortest path problemChange of basisOrthogonal matrixClosest pair of points problemCharacteristic polynomialInteger latticeInteger factorizationLattice pathLinear algebraic groupBiconjugate gradient methodLinearizationTransitive reductionLinear relationGraph partitionCongruence subgroupMatrix multiplicationBasic feasible solutionStructure constantsDimensionMinimum bounding box algorithmsIncomplete cholesky factorizationShort divisionIncomplete lu factorizationBasis functionBasis pursuit denoisingEigenvalue perturbationEuclidean shortest pathLatticeSplitting fieldCoefficient matrixConjugate gradient methodArithmetic geometryGaussian eliminationMatrix splittingRank factorizationOrthogonal polynomialsCartesian tensorSteinitz exchange lemmaOrthogonal transformationInteger factorization recordsMatrix analysisQuadratic programmingApproximation theoryPerturbation theoryQuotientReductionInteger programmingAlgebraic number theoryRoot systemRandom projectionLattice field theoryMultilinear formCollocation methodLinear approximationInverse scattering transformDistance from a point to a lineProjectionPythagorean additionAlgebra over a fieldProjections onto convex setsLu decompositionModel order reductionSemi-simplicityCartan decompositionLinear independenceIntersection numberMatroidCurve-shortening flowSingular value decompositionBounded inverse theoremRoot-finding algorithmsAnalytic number theoryOrthonormalitySystem of equationsFundamental representationInverse quadratic interpolationElimination theoryMatrix similarityPolynomial-time reductionRotation matrixEigenvalue algorithmSemisimple lie algebraEmpirical orthogonal functionsSpecial linear lie algebraAlgebraic numberGraph bandwidth