Essays about: "tensorrang"

Found 2 essays containing the word tensorrang.

1. 1. Tensor rank and support rank in the context of algebraic complexity theory

   University essay from KTH/Matematik (Avd.)

   Author : Pelle Andersson; [2023]
   Keywords : linear algebra; tensor product; tensor rank; matrix multiplication; complexity; linjär algebra; tensorprodukt; tensorrang; matrismultiplikation; komplexitet;

   Abstract : Starting with the work of Volker Strassen, algorithms for matrix multiplication have been developed which are time complexity-wise more efficient than the standard algorithm from the definition of multiplication. The general method of the developments has been viewing the bilinear mapping that matrix multiplication is as a three-dimensional tensor, where there is an exact correspondence between time complexity of the multiplication algorithm and tensor rank. READ MORE

3. 2. Tensor Rank

   University essay from Matematik och tillämpad matematik; Tekniska högskolan

   Author : Elias Erdtman; Carl Jönsson; [2012]
   Keywords : generic rank; symmetric tensor; tensor rank; tensors over finite fields; typical rank; generisk rang; symmetrisk tensor; tensorrang; tensorer över ändliga kroppar; typisk rang;

   Abstract : This master's thesis addresses numerical methods of computing the typical ranks of tensors over the real numbers and explores some properties of tensors over finite fields. We present three numerical methods to compute typical tensor rank. READ MORE