----------------------------------------------------------------------------- {-| Module : Math.Tensor.LinearAlgebra Description : Linear algebra for tensor equations. Copyright : (c) Nils Alex, 2020 License : MIT Maintainer : nils.alex@fau.de Linear algebra for tensor equations. -} ----------------------------------------------------------------------------- module Math.Tensor.LinearAlgebra ( -- * Linear combinations and polynomials -- ** Data types Lin(..) , Poly(..) , -- ** Construction, inspection, modification singletonPoly , polyMap , getVars , shiftVars , normalize , -- * Tensor equations -- ** Extracting tensor equations and matrix representations Equation , tensorToEquations , tensorsToSparseMat , tensorsToMat , -- ** Rank of a linear tensor equation system systemRank , -- ** Solutions Solution , solveTensor , solveSystem , redefineIndets , -- ** Internals equationFromRational , equationsToSparseMat , equationsToMat , fromRref , fromRow , applySolution ) where import Math.Tensor.LinearAlgebra.Scalar import Math.Tensor.LinearAlgebra.Equations