Tensors in computations
Lek‐Heng Lim
Abstract
The notion of a tensor captures three great ideas: equivariance, multilinearity, separability. But trying to be three things at once makes the notion difficult to understand. We will explain tensors in an accessible and elementary way through the lens of linear algebra and numerical linear algebra, elucidated with examples from computational and applied mathematics.
Topics & Concepts
Linear algebraAlgebra over a fieldComputationNumerical linear algebraTensor (intrinsic definition)Tensor algebraComputer scienceSymbolic computationMultilinear algebraMathematicsNumerical analysisPure mathematicsAlgebra representationAlgorithmGeometryMathematical analysisDivision algebraTensor decomposition and applicationsMatrix Theory and AlgorithmsNumerical Methods and Algorithms